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| 1. sor: |
1. sor: |
| − | = Me. =
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| | | | |
| | + | * Aktuális teszt a [[Szerkesztő:Gg630504/Aktuális]] oldalon van. |
| | + | * Képletek a [[Szerkesztő:Gg630504/Képletek]] oldalon vannak. |
| | + | |
| | + | == Me. == |
| | * amper - André-Marie Ampère | | * amper - André-Marie Ampère |
| | * baud - Jean-Maurice-Émile Baudot | | * baud - Jean-Maurice-Émile Baudot |
| 9. sor: |
12. sor: |
| | * tesla - Никола Тесла | | * tesla - Никола Тесла |
| | * volt - Alessandro Giuseppe Antonio Anastasio Volta | | * volt - Alessandro Giuseppe Antonio Anastasio Volta |
| − |
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| − | = Teszt. Nagyon teszt. =
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| | | | |
| | == RXZ GBY PQS == | | == RXZ GBY PQS == |
| 54. sor: |
55. sor: |
| | S = P + Q*i = U*I<sup>*</sup> | | S = P + Q*i = U*I<sup>*</sup> |
| | |} | | |} |
| − |
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| − | = Képletek. Régiek. =
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| − | Az újak a [[Szerkesztő:Gg630504/Képletek]] oldalon vannak.
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| − |
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| − | == a ==
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| − |
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| − | <math> \pi \approx 3,141592653589793\, </math> ;
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| − |
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| − | <math> e \approx 2,718281828459045\, </math> ;
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| − | <math> c = 299792458 \ \mathrm{m/s}\, </math> ;
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| − | <math> \epsilon_0 = \frac{1}{\mu_0 \cdot c^2}\ \mathrm{F/m} \approx 8,85418781762039 \ \mathrm{pF/m} \, </math> ;
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| − |
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| − | <math> \mu_0 = 4 \cdot \pi \cdot 10^{-7} \ \mathrm{H/m} \approx 1,2566370614359172 \ \mu\mathrm{H/m}\, </math> ;
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| − |
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| − | <math> k = 13,806488(13) \ \mathrm{yJ/K}\, </math> ;
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| − | <math> A \ dB \; U \ V = 10^{\frac{A}{20}} \cdot U \ V\, </math> ;
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| − | <math> A \ dB \; P \ W \; R \ \Omega = 10^{\frac{A}{20}} \cdot \sqrt{ P \cdot R } \ V\, </math> ;
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| − |
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| − | <math> A \ Np \ U \ V = e^A \cdot U \ V\, </math> ;
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| − | <math> A \ Np \; P \ W \; R \ \Omega = e^A \cdot \sqrt{ P \cdot R } \ V\, </math> ;
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| − |
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| − | <math> A \ dB \; P \ W = 10^{\frac{A}{10}} \cdot P \ W\, </math> ;
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| − |
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| − | <math> A \ Np \; P \ W = e^{2 \cdot A} \cdot P \ W\, </math> ;
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| − |
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| − | <math> A = a^2\, </math> ;
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| − | <math> A = a \cdot b\, </math> ;
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| − | <math> A = \frac{\pi}{4}\cdot d^2\, </math> ;
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| − | <math> A = \pi \cdot r^2\, </math> ;
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| − |
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| − | <math> a = \sqrt A\, </math> ;
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| − |
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| − | <math> d = 2 \cdot r\, </math> ;
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| − | <math> d = 2 \sqrt \frac {A}{\pi}\, </math> ;
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| − | <math> d = 127 \cdot 10^{-6} \cdot 92^\frac{36-AWG}{39} \; \mathrm{m}\, </math> ;
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| − |
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| − | <math> r = \frac{d}{2}\, </math> ;
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| − | <math> r = \sqrt \frac {A}{\pi}\, </math> ;
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| − |
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| − | <math> AWG = 36-39 \cdot \log_{92}\left( \frac{d}{127 \cdot 10^{-6} \; \mathrm{m}} \right)\,</math> ;
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| − |
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| − | <math> \Re() </math> ;
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| − | <math> \Im() </math> ;
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| − | <math> Z = 40 \; \Omega + 30 \cdot \mathrm{i} \; \Omega = \Re(Z) + \Im(Z) \cdot \mathrm{i} \, </math> ;
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| − |
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| − | <math> \Re(Z) = 40 \; \Omega ; \;\; \Im(Z) = 30 \; \Omega \, </math>
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| − |
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| − | == b ==
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| − |
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| − | <math> R_s = R_0 + R_1 + \dots + R_n\, </math> ;
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| − | <math> R_p = \frac{1}{\frac{1}{R_0} + \frac{1}{R_1} + \dots + \frac{1}{R_n}}\, </math> ;
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| − | <math> R_1 = R_s - R_0\, </math> ;
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| − | <math> R_1 = \frac{1}{\frac{1}{R_p} - \frac{1}{R_0}}\, </math> ;
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| − |
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| − | <math> C_p = C_0 + C_1 + \dots + C_n\, </math> ;
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| − | <math> C_s = \frac{1}{\frac{1}{C_0} + \frac{1}{C_1} + \dots + \frac{1}{C_n}}\, </math> ;
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| − | <math> C_1 = C_p - C_0\, </math> ;
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| − | <math> C_1 = \frac{1}{\frac{1}{C_s} - \frac{1}{C_0}}\, </math> ;
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| − |
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| − |
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| − | <math> L_s = L_0 + L_1 + 2 \cdot M\, </math> ;
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| − | <math> L_p = \frac{L_0 \cdot L_1 + M^2}{L_0 + L_1 - 2 \cdot M}\, </math> ;
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| − |
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| − | <math> R_x = \frac{N-2}{N} \cdot R\, </math>;
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| − | <math> A = 20 \cdot \lg\left( \frac{1}{N-1} \right)\, </math>;
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| − | <math> A = \frac{1}{N-1}\, </math>;
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| − |
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| − |
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| − | <math> R_{01} = \frac{R_0 \cdot R_1}{R_2} + R_0 + R_1\, </math> ;
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| − | <math> R_{02} = \frac{R_0 \cdot R_2}{R_1} + R_0 + R_2\, </math> ;
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| − | <math> R_{12} = \frac{R_1 \cdot R_2}{R_0} + R_1 + R_2\, </math> ;
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| − |
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| − | <math> R_0 = \frac{R_{01} \cdot R_{02}}{R_{01} + R_{02} + R_{12}}\, </math> ;
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| − | <math> R_1 = \frac{R_{01} \cdot R_{12}}{R_{01} + R_{02} + R_{12}}\, </math> ;
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| − | <math> R_2 = \frac{R_{02} \cdot R_{12}}{R_{01} + R_{02} + R_{12}}\, </math> ;
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| − |
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| − | <math> Z_s = Z_0 + Z_1 + \dots + Z_n\, </math> ; <math> Y_s = \frac{1}{Z_s}\,</math>;
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| − | <math> Y_s = Y_0 + Y_1 + \dots + Y_n\, </math> ;<math> Z_s = \frac{1}{Y_s}\,</math>;
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| − |
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| − | == c ==
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| − |
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| − | <math> a = 10^{- \frac{A}{20}}\, </math> ;
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| − | <math> a = \frac{1}{\sqrt A}\, </math> ;
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| − | <math> R_0 = \frac{ \left( a^2-1 \right) \cdot R_b \cdot \sqrt R_k }{\left(a^2+1\right) \cdot \sqrt R_k - 2 \cdot a \cdot \sqrt R_b}\, </math> ;
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| − | <math> R_1 = \frac{\left( a^2-1 \right) \cdot \sqrt {R_b \cdot R_k} }{2 \cdot a}\, </math> ;
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| − | <math> R_2 = \frac{ \left( a^2-1 \right) \cdot R_k \cdot \sqrt R_b }{\left(a^2+1\right) \cdot \sqrt R_b - 2 \cdot a \cdot \sqrt R_k}\, </math> ;
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| − |
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| − | <math> R_3 = \frac{\left(a^2+1\right)\cdot R_b - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{a^2-1}\, </math> ;
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| − | <math> R_4 = \frac{2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{a^2-1}\, </math> ;
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| − | <math> R_5 = \frac{\left(a^2+1\right)\cdot R_k - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{a^2-1}\, </math> ;
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| − |
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| − | <math> R_6 = R_{bk}\, </math> ;
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| − | <math> R_7 = \frac{R_{bk}}{a-1}\, </math> ;
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| − | <math> R_8 = R_{bk}\, </math> ;
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| − | <math> R_9 = \left(a-1\right) \cdot R_{bk}\, </math> ;
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| − | <math> R_{10} = \frac{ \left( a^2-1 \right) \cdot R_b \cdot \sqrt R_k }{\left(a^2+1\right) \cdot \sqrt R_k - 2 \cdot a \cdot \sqrt R_b}\, </math> ;
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| − | <math> R_{11} = \frac{\left( a^2-1 \right) \cdot \sqrt {R_b \cdot R_k} }{4 \cdot a}\, </math> ;
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| − | <math> R_{12} = \frac{\left( a^2-1 \right) \cdot \sqrt {R_b \cdot R_k} }{4 \cdot a}\, </math> ;
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| − | <math> R_{13} = \frac{ \left( a^2-1 \right) \cdot R_k \cdot \sqrt R_b }{\left(a^2+1\right) \cdot \sqrt R_b - 2 \cdot a \cdot \sqrt R_k}\, </math> ;
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| − | <math> R_{14} = \frac{\left(a^2+1\right)\cdot R_b - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{2 \cdot \left(a^2-1\right)}\, </math> ;
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| − | <math> R_{15} = \frac{\left(a^2+1\right)\cdot R_b - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{2 \cdot \left(a^2-1\right)}\, </math> ;
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| − | <math> R_{16} = \frac{2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{a^2-1}\, </math> ;
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| − | <math> R_{17} = \frac{\left(a^2+1\right)\cdot R_k - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{2 \cdot \left(a^2-1\right)}\, </math> ;
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| − | <math> R_{18} = \frac{\left(a^2+1\right)\cdot R_k - 2 \cdot a \cdot \sqrt {R_b \cdot R_k}}{2 \cdot \left(a^2-1\right)}\, </math> ;
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| − |
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| − | == d ==
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| − |
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| − |
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| − | <math> G = \frac{1}{R}\, </math> ;
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| − | <math> G = \frac{I^2}{P}\, </math> ;
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| − | <math> G = \frac{I}{U}\, </math> ;
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| − | <math> G = \frac{P}{U^2}\, </math> ;
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| − |
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| − | <math> I = \frac{P}{U}\, </math> ;
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| − | <math> I = \frac{U}{R}\, </math> ;
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| − | <math> I = G \cdot U\, </math> ;
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| − | <math> I = \sqrt \frac{P}{R}\, </math> ;
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| − | <math> I = \sqrt {G \cdot P}\, </math> ;
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| − |
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| − | <math> P = \frac{I^2}{G}\, </math> ;
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| − | <math> P = \frac{U^2}{R}\, </math> ;
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| − | <math> P = G \cdot U^2\, </math> ;
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| − | <math> P = I^2 \cdot R\, </math> ;
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| − | <math> P = I \cdot U\, </math> ;
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| − |
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| − | <math> R = \frac{1}{G}\, </math> ;
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| − | <math> R = \frac{P}{I^2}\, </math> ;
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| − | <math> R = \frac{U^2}{P}\, </math> ;
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| − | <math> R = \frac{U}{I}\, </math> ;
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| − |
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| − | <math> U = \frac{I}{G}\, </math> ;
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| − | <math> U = \frac{P}{I}\, </math> ;
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| − | <math> U = I \cdot R\, </math> ;
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| − | <math> U = \sqrt \frac{P}{G}\, </math> ;
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| − | <math> U = \sqrt {P \cdot R}\, </math> ;
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| − |
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| − | <math> A = \frac{l \cdot \rho}{R}\, </math> ;
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| − | <math> A = \frac{l }{\gamma \cdot R}\, </math> ;
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| − | <math> A = G \cdot l \cdot \rho\, </math> ;
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| − | <math> A = \frac{G \cdot l }{\gamma}\, </math> ;
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| − |
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| − | <math> l = \frac{A \cdot R}{\rho}\, </math> ;
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| − | <math> l = A \cdot R \cdot \gamma\, </math> ;
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| − | <math> l = \frac{A}{G \cdot \rho}\, </math> ;
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| − | <math> l = \frac{A \cdot \gamma}{G}\, </math> ;
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| − |
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| − |
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| − | <math> R = \frac{l \cdot \rho}{A}\, </math> ;
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| − | <math> R = \frac{l}{A \cdot \gamma}\, </math> ;
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| − | <math> G = \frac{A \cdot \gamma}{l}\, </math> ;
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| − | <math> G = \frac{A }{l \cdot \rho}\, </math> ;
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| − | <math> \rho = \frac{A \cdot R}{l}\, </math> ;
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| − | <math> \gamma = \frac{l}{A \cdot R}\, </math> ;
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| − |
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| − | <math> I = \frac{Q}{t}\, </math> ;
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| − | <math> Q = I \cdot t\, </math> ;
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| − | <math> t = \frac{Q}{I}\, </math> ;
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| − |
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| − | == e ==
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| − |
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| − | <math> C = \frac{1}{2 \cdot \pi \cdot f \cdot X_C}\, </math> ;
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| − | <math> C = \frac{-1}{2 \cdot \pi \cdot f \cdot Z } \cdot \mathrm{i}\, </math> ;
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| − | <math> f = \frac{1}{2 \cdot \pi \cdot C \cdot X_C}\, </math> ;
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| − | <math> f = \frac{-1}{2 \cdot \pi \cdot C \cdot Z } \cdot \mathrm{i}\, </math> ;
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| − | <math> X_C = \frac{1}{2 \cdot \pi \cdot f \cdot C}\, </math> ;
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| − | <math> Z = \frac{-1}{2 \cdot \pi \cdot f \cdot C } \cdot \mathrm{i}\, </math> ;
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| − | <math> Y = 2 \cdot \pi \cdot f \cdot C \cdot \mathrm{i}\, </math> ;
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| − |
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| − | <math> L = \frac{X_L}{2 \cdot \pi \cdot f}\, </math> ;
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| − | <math> L = \frac{-Z}{2 \cdot \pi \cdot f }\cdot \mathrm{i}\, </math> ;
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| − | <math> f = \frac{X_L}{2 \cdot \pi \cdot L}\, </math> ;
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| − | <math> f = \frac{-Z}{2 \cdot \pi \cdot L }\cdot \mathrm{i}\, </math> ;
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| − | <math> X_L = 2 \cdot \pi \cdot f \cdot L\, </math> ;
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| − | <math> Z = 2 \cdot \pi \cdot f \cdot L \cdot \mathrm{i}\, </math> ;
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| − | <math> Y = \frac{-1}{2 \cdot \pi \cdot f \cdot L }\cdot \mathrm{i}\, </math> ;
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| − |
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| − | <math> C = \frac{1}{{\left( 2 \cdot \pi \cdot f \right)}^2 \cdot L }\, </math> ;
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| − | <math> f = \frac{1}{2\cdot \pi \cdot \sqrt{C \cdot L}}\, </math> ;
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| − | <math> L = \frac{1}{{\left( 2 \cdot \pi \cdot f \right)}^2 \cdot C }\, </math> ;
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| − | <math> |Z| = \frac{1}{2 \cdot \pi \cdot f \cdot C } = 2 \cdot \pi \cdot f \cdot L\, </math> ;
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| − | <math> |Y| = 2 \cdot \pi \cdot f \cdot C = \frac{1}{2 \cdot \pi \cdot f \cdot L}\, </math> ;
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| − | <math> C = \frac{I}{2 \cdot \pi \cdot f \cdot U}\, </math> ;
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| − | <math> f = \frac{I}{2 \cdot \pi \cdot C \cdot U}\, </math> ;
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| − | <math> I = 2 \cdot \pi \cdot C \cdot f \cdot U\, </math> ;
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| − | <math> U = \frac{I}{2 \cdot \pi \cdot C \cdot f}\, </math> ;
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| − |
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| − | == f ==
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| − |
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| − | <math> T =\frac{1}{f}\, </math> ;
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| − | <math> f =\frac{1}{T}\, </math> ;
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| − |
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| − | <math> \lambda = \frac{v}{f}\, </math> ;
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| − | <math> f = \frac{v}{\lambda}\, </math> ;
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| − | <math> \lambda = k \cdot \frac{c}{f}\, </math> ;
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| − | <math> f = k \cdot \frac{c}{\lambda}\, </math> ;
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| − | <math> \lambda = \frac{1}{\sqrt{\epsilon_r}} \cdot \frac{c}{f}\, </math> ;
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| − | <math> f = \frac{1}{\sqrt{\epsilon_r}} \cdot \frac{c}{\lambda}\, </math> ;
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| − | <math> l = \mathrm{k}\left(\frac{\lambda}{d}\right) \cdot \lambda\, </math> ;
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| − | <math> Q = 1,3 \cdot \left( \ln\left(\frac{\lambda}{d}\right)-1\right)\, </math> ;
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| − | <math> B = \frac{f}{Q}\, </math> ;
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| − |
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| − |
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| − | <math> T = \frac{1}{B}\, </math> ;
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| − |
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| − | == g ==
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| − |
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| − | <math> N = \sqrt{\frac{L}{A_L}}\, </math> ;
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| − | <math> L = A_L \cdot N^2\, </math> ;
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| − | <math> A_L = \frac{L}{N^2}\, </math> ;
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| − |
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| − | <math> R_2 = \frac{U_{out} - U_{ref}}{\frac{U_{ref}}{R_1} + I_{adj}}\, </math> ;
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| − | <math> P_2 = {\left(\frac{U_{ref}}{R_1} + I_{adj}\right)}^2 \cdot R_2\, </math> ;
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| − | <math> U_{out} = \left( 1 + \frac{R_2}{R_1} \right) \cdot U_{ref} + I_{adj} \cdot R_2\, </math> ;
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| − |
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| − | == h - tekercs ==
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| − |
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| − | === egyenes huzal ===
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| − | <math>L = \frac{1}{2 \cdot \pi} \cdot \mu_r \cdot \mu_0 \cdot a \cdot \left(\ln\left(\frac{4 \cdot a}{d_h}\right) - 0,75\right) </math>;
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| − |
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| − | === egyenlő oldalú háromszög ===
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| − | <math> a_a = a_b + \sqrt{3} \cdot d_h\, </math> ;
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| − | <math> a_b = a_a - \sqrt{3} \cdot d_h\, </math> ;
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| − | <math> L = \frac{3}{2 \cdot \pi} \cdot \mu_r \cdot \mu_0 \cdot a_a \cdot N^2 \cdot \left(\ln\left(\frac{2 \cdot a_a}{d_h}\right)-1,405\right)\, </math> ;
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| − | <math> N = \sqrt\frac{2 \cdot \pi \cdot L}{3 \cdot \mu_r \cdot \mu_0 \cdot a_a \cdot \left(\ln\left(\frac{2 \cdot a_a}{d_h}\right)-1,405\right)}\, </math> ;
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| − | <math> l_h = N \cdot 3 \cdot a_a\, </math> ;
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| − |
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| − | === négyzet ===
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| − |
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| − | <math> a_a = a_b + d_h\, </math> ;
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| − | <math> a_b = a_a - d_h\, </math> ;
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| − | <math> L = \frac{2}{\pi} \cdot \mu_r \cdot \mu_0 \cdot a_a \cdot N^2 \cdot \left(\ln\left(\frac{2 \cdot a_a}{d_h}\right)-0,774\right)\, </math> ;
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| − | <math> N = \sqrt\frac{\pi \cdot L}{2 \cdot \mu_r \cdot \mu_0 \cdot a_a \cdot \left(\ln\left(\frac{2 \cdot a_a}{d_h}\right)-0,774\right)}\, </math> ;
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| − | <math> l_h = N \cdot 4 \cdot a_a\, </math> ;
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| − |
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| − | === kör ===
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| − |
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| − | <math> d_a = d_b + d_h\, </math> ;
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| − | <math> d_a = 2 \cdot r_a\, </math> ;
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| − | <math> d_a = 2 \cdot r_b + d_h\, </math> ;
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| − | <math> d_b = d_a - d_h\, </math> ;
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| − | <math> L = \frac{1}{2} \cdot \mu_r \cdot \mu_0 \cdot d_a \cdot N^2 \cdot \left(\ln\left(\frac{8\cdot d_a}{d_h}\right)-2\right)\, </math> ;
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| − | <math> N = \sqrt\frac{2 \cdot L}{\mu_r \cdot \mu_0 \cdot d_a \cdot \left(\ln\left(\frac{8\cdot d_a}{d_h}\right)-2\right)}\, </math> ;
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| − | <math> l_h = N \cdot \pi \cdot d_a\, </math> ;
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| − |
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| − | === egysoros tekercs ===
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| − |
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| − | <math>L_0 = \frac{d_a \cdot N^2}{ 0,14 \cdot l_a / d_a + 0,04} \,</math> ;
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| − | <math>L_0 = \frac{\mu_r \cdot \mu_0 \cdot {d_a}^2 \cdot N^2}{1,7593 \cdot l_a + 0,50266 \cdot d_a} \,</math> ;
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| − |
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| − | <math>L_1 = \frac{d_a^2 \cdot N^2}{100 \cdot l_a + 45 \cdot d_a} \,</math> ;
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| − | <math>L_1 = \frac{\mu_r \cdot \mu_0 \cdot {d_a}^2 \cdot N^2}{1,2566 \cdot l_a + 0,56549 \cdot d_a} \,</math> ;
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| − |
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| − | <math>L_2 = \frac{{r_a}^2 \cdot N^2}{10 \cdot l_a + 9 \cdot r_a} \,</math> ;
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| − | <math>L_2 = \frac{\mu_r \cdot \mu_0 \cdot {d_a}^2 \cdot N^2}{1,2767 \cdot l_a + 0,57454 \cdot d_a} \,</math>
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| − |
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| − | <math>L_3 = k \cdot d_a \cdot N^2 \,</math> ;
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| − | <math>L_3 = k \cdot \mu_r \cdot \mu_0 \cdot d_a \cdot N^2 \,</math> ;
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| − |
| |
| − | <math> 0,01 \leq \frac{d_a}{l_a} \leq 1 \longrightarrow k = 8,04 \cdot 10^{-3} \cdot \left( \frac{d_a}{l_a} \right)^{0,912} \,</math> ;
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| − |
| |
| − | <math> 0,01 \leq \frac{d_a}{l_a} \leq 1 \longrightarrow k = 0,64 \cdot \left( \frac{d_a}{l_a} \right)^{0,912} \,</math> ;
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| − |
| |
| − | <math> 1 < \frac{d_a}{l_a} \leq 100 \longrightarrow k = 8,19 \cdot 10^{-3} + 6,84 \cdot 10^{-3} \cdot \ln \left( \frac{d_a}{l_a} \right) \,</math> ;
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| − |
| |
| − | <math> 1 < \frac{d_a}{l_a} \leq 100 \longrightarrow k = 0,652 + 0,544 \cdot \ln \left( \frac{d_a}{l_a} \right) \,</math> ;
| |
| − |
| |
| − | <math>l_h = \sqrt{ \left( N \cdot \pi \cdot d_a \right)^2 + {l_a}^2}\, </math> ;
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| − |
| |
| − | <math> l_a = \frac{N - 0,5}{N} \cdot \left( l_k - d_h \right)\, </math> ;
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| − | <math> l_k = d_h + \frac{N}{N - 0,5} \cdot l_a\, </math> ;
| |
| − |
| |
| − | == i ==
| |
| − |
| |
| − | <math> A_P = \frac{P_k}{P_b}\, </math> ;
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| − | <math> A_U = \frac{U_k}{U_b}\, </math> ;
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| − |
| |
| − | <math> P_k = A_P \cdot P_b\, </math> ;
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| − | <math> U_k = A_U \cdot U_b\, </math> ;
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| − |
| |
| − | <math> A_{Ps} = A_{P0} \cdot \dots \cdot A_{P4}\, </math> ;
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| − | <math> A_{Us} = A_{U0} \cdot \dots \cdot A_{U4}\, </math> ;
| |
| − |
| |
| − | <math> G_p = G_0 + \dots + G_{n-1}\, </math> ;
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| − | <math> G_s = \frac{1}{\frac{1}{G_0} + \dots + \frac{1}{G_{n-1}}}\, </math> ;
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| − |
| |
| − |
| |
| − | <math> f_o = k_0 \cdot f_0 + \dots + k_{n-1} \cdot f_{n-1}\, </math> ;
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| − | <math> f_{sz} = \frac{ k_0 \cdot f_0 + \dots + k_{n-1} \cdot f_{n-1} }{ n }\, </math> ;
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| − | <math> f_m = \sqrt[n] { k_0 \cdot f_0 \cdot \dots \cdot k_{n-1} \cdot f_{n-1} }\, </math> ;
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| − | <math> f_h = \frac{ n }{ \frac{1}{k_0 \cdot f_0} + \dots + \frac{1}{k_{n-1} \cdot f_{n-1}} }\, </math> ;
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| − | <math> f_n = \sqrt { \frac{{\left(k_0 \cdot f_0 \right) }^2 + \dots + {\left( k_{n-1} \cdot f_{n-1} \right)}^2 }{n} }\, </math> ;
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| − |
| |
| − | <math> I_o = I_0 + \dots + I_{n-1}\, </math> ;
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| − | <math> I_{sz} = \frac{ I_0 + \dots + I_{n-1} }{ n }\, </math> ;
| |
| − | <math> I_m = \sqrt[n] { I_0 \cdot \dots \cdot I_{n-1} }\, </math> ;
| |
| − | <math> I_h = \frac{ n }{ \frac{1}{I_0} + \dots + \frac{1}{I_{n-1}} }\, </math> ;
| |
| − | <math> I_n = \sqrt { \frac{{I_0}^2 + \dots + {I_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − |
| |
| − | <math> l_o = l_0 + \dots + l_{n-1}\, </math> ;
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| − | <math> l_{sz} = \frac{ l_0 + \dots + l_{n-1} }{ n }\, </math> ;
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| − | <math> l_m = \sqrt[n] { l_0 \cdot \dots \cdot l_{n-1} }\, </math> ;
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| − | <math> l_h = \frac{ n }{ \frac{1}{l_0} + \dots + \frac{1}{l_{n-1}} }\, </math> ;
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| − | <math> l_n = \sqrt { \frac{{l_0}^2 + \dots + {l_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − |
| |
| − | <math> P_o = P_0 + \dots + P_{n-1}\, </math> ;
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| − | <math> P_{sz} = \frac{ P_0 + \dots + P_{n-1} }{ n }\, </math> ;
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| − | <math> P_m = \sqrt[n] { P_0 \cdot \dots \cdot P_{n-1} }\, </math> ;
| |
| − | <math> P_h = \frac{ n }{ \frac{1}{P_0} + \dots + \frac{1}{P_{n-1}} }\, </math> ;
| |
| − | <math> P_n = \sqrt { \frac{{P_0}^2 + \dots + {P_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − |
| |
| − | <math> t_o = t_0 + \dots + t_{n-1}\, </math> ;
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| − | <math> t_{sz} = \frac{ t_0 + \dots + t_{n-1} }{ n }\, </math> ;
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| − | <math> t_m = \sqrt[n] { t_0 \cdot \dots \cdot t_{n-1} }\, </math> ;
| |
| − | <math> t_h = \frac{ n }{ \frac{1}{t_0} + \dots + \frac{1}{t_{n-1}} }\, </math> ;
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| − | <math> t_n = \sqrt { \frac{{t_0}^2 + \dots + {t_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − | <math> U_o = U_0 + \dots + U_{n-1}\, </math> ;
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| − | <math> U_{sz} = \frac{ U_0 + \dots + U_{n-1} }{ n }\, </math> ;
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| − | <math> U_m = \sqrt[n] { U_0 \cdot \dots \cdot U_{n-1} }\, </math> ;
| |
| − | <math> U_h = \frac{ n }{ \frac{1}{U_0} + \dots + \frac{1}{U_{n-1}} }\, </math> ;
| |
| − | <math> U_n = \sqrt { \frac{{U_0}^2 + \dots + {U_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − | <math> G_s = G_0 + \dots + G_{n-1}\, </math> ;
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| − | <math> G_{sz} = \frac{ G_0 + \dots + G_{n-1} }{ n }\, </math> ;
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| − | <math> G_m = \sqrt[n] { G_0 \cdot \dots \cdot G_{n-1} }\, </math> ;
| |
| − | <math> G_h = \frac{ n }{ \frac{1}{G_0} + \dots + \frac{1}{G_{n-1}} }\, </math> ;
| |
| − | <math> G_n = \sqrt { \frac{{G_0}^2 + \dots + {G_{n-1}}^2 }{n} }\, </math> ;
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| − |
| |
| − | <math> R_s = R_0 + \dots + R_{n-1}\, </math> ;
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| − | <math> R_{sz} = \frac{ R_0 + \dots + R_{n-1} }{ n }\, </math> ;
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| − | <math> R_m = \sqrt[n] { R_0 \cdot \dots \cdot R_{n-1} }\, </math> ;
| |
| − | <math> R_h = \frac{ n }{ \frac{1}{R_0} + \dots + \frac{1}{R_{n-1}} }\, </math> ;
| |
| − | <math> R_n = \sqrt { \frac{{R_0}^2 + \dots + {R_{n-1}}^2 }{n} }\, </math> ;
| |
| − |
| |
| − | <math> C_p = C_0 + \dots + C_{n-1}\, </math> ;
| |
| − | <math> C_{sz} = \frac{ C_0 + \dots + C_{n-1} }{ n }\, </math> ;
| |
| − | <math> C_m = \sqrt[n] { C_0 \cdot \dots \cdot C_{n-1} }\, </math> ;
| |
| − | <math> C_h = \frac{ n }{ \frac{1}{C_0} + \dots + \frac{1}{C_{n-1}} }\, </math> ;
| |
| − | <math> C_n = \sqrt { \frac{{C_0}^2 + \dots + {C_{n-1}}^2 }{n} }\, </math> ;
| |
| − |
| |
| − |
| |
| − | <math> Z_o = Z_0 + \dots + Z_{n-1}\, </math> ;
| |
| − | <math> Z_{sz} = \frac{ Z_0 + \dots + Z_{n-1} }{ n }\, </math> ;
| |
| − | <math> Z_m = \sqrt[n] { Z_0 \cdot \dots \cdot Z_{n-1} }\, </math> ;
| |
| − | <math> Z_h = \frac{ n }{ \frac{1}{Z_0} + \dots + \frac{1}{Z_{n-1}} }\, </math> ;
| |
| − | <math> Z_n = \sqrt { \frac{{Z_0}^2 + \dots + {Z_{n-1}}^2 }{n} }\, </math> ;
| |
| − | <math> Y_o = \frac{1}{Z_o}\, </math> ;
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| − |
| |
| − |
| |
| − | <math> Y_o = Y_0 + \dots + Y_{n-1}\, </math> ;
| |
| − | <math> Y_{sz} = \frac{ Y_0 + \dots + Y_{n-1} }{ n }\, </math> ;
| |
| − | <math> Y_m = \sqrt[n] { Y_0 \cdot \dots \cdot Y_{n-1} }\, </math> ;
| |
| − | <math> Y_h = \frac{ n }{ \frac{1}{Y_0} + \dots + \frac{1}{Z_{n-1}} }\, </math> ;
| |
| − | <math> Y_n = \sqrt { \frac{{Y_0}^2 + \dots + {Y_{n-1}}^2 }{n} }\, </math> ;
| |
| − | <math> Z_o = \frac{1}{Y_o}\, </math> ;
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| − |
| |
| − |
| |
| − | <math> U_R = U_b - (k_0 \cdot U_{LED0} + \dots + k_4 \cdot U_{LED4})\, </math> ;
| |
| − | <math> R_s = \frac{U_R}{I}\, </math> ;
| |
| − | <math> P_s = \frac{{U_R}^2}{R_s}\, </math> ;
| |
| − |
| |
| − | <math> R_0 = \frac{U_b-U_k}{I}\, </math> ;
| |
| − | <math> R_1 = \frac{U_k}{I}\, </math> ;
| |
| − |
| |
| − | <math> R_0 = \frac{U_b-U_k}{I}\, </math> ;
| |
| − | <math> R_1 = \frac{R_k \cdot U_k}{I \cdot R_k - U_k}\, </math> ;
| |
| − |
| |
| − | <math> U_K = \frac{R_1 \cdot U_b}{R_0 + R_1}\, </math> ;
| |
| − | <math> U_K = \frac{R_2 \cdot U_b}{R_0 + R_2}; R_2 = \frac{R_1 \cdot R_k}{R_1 + R_k}\, </math> ;
| |
| − |
| |
| − | <math> \Delta U = U_K-U_k\, </math> ;
| |
| − |
| |
| − | <math> P_0 = \frac{{\left(U_b-U_K\right)}^2}{R_0}\, </math> ;
| |
| − | <math> P_1 = \frac{{U_K}^2}{R_1}\, </math> ;
| |
| − |
| |
| − | <math> I = \frac{I_0 \cdot t_0 + \cdots + I_{n-1} \cdot t_{n-1}} {t_0 + \cdots + t_{n-1} }\, </math> ;
| |
| − | <math> I = I_0\, </math> ;
| |
| − | <math> t = \frac{Q}{I}\, </math> ;
| |
| − |
| |
| − | == j Maros, Titán, Veszprém ==
| |
| − |
| |
| − | <math> f_{MT\_RXU} = (f_v+10,7\cdot 10^6 \mathrm{Hz}) / 3\, </math> ;
| |
| − | <math> f_{MT\_RXL} = (f_v-10,7\cdot 10^6 \mathrm{Hz}) / 3\, </math> ;
| |
| − | <math> f_{MT\_TX} = f_v / 18\, </math> ;
| |
| − |
| |
| − | <math> f_{V\_RXU} = (f_v+455\cdot 10^3 \mathrm{Hz}) / 15\, </math> ;
| |
| − | <math> f_{V\_RXL} = (f_v-455\cdot 10^3 \mathrm{Hz}) / 17\, </math> ;
| |
| − | <math> f_{V\_TX} = f_v / 24\, </math> ;
| |
| − |
| |
| − | <math> f_{MT\_RXU} = 3 \cdot f_k-10,7\cdot 10^6 \mathrm{Hz}\, </math> ;
| |
| − | <math> f_{MT\_RXL} = 3 \cdot f_k+10,7\cdot 10^6 \mathrm{Hz}\, </math> ;
| |
| − | <math> f_{MT\_TX} = 18 \cdot f_k\, </math> ;
| |
| − |
| |
| − | <math> f_{V\_RXU} = 15 \cdot f_k-455\cdot 10^3 \mathrm{Hz}\, </math> ;
| |
| − | <math> f_{V\_RXL} = 17 \cdot f_k+455\cdot 10^3 \mathrm{Hz}\, </math> ;
| |
| − | <math> f_{V\_TX} = 24 \cdot f_k\, </math> ;
| |
| − |
| |
| − | == k ( τ, E(C,R) ) ==
| |
| − |
| |
| − | <math> C = \frac{\tau}{R}\, </math> ; <math> L = R \cdot \tau\, </math> ;
| |
| − |
| |
| − | <math> C = \frac{\tau^2}{L}\, </math> ; <math> R = \frac{L}{\tau}\, </math> ;
| |
| − |
| |
| − | <math> C = \frac{L}{R^2}\, </math> ; <math> \tau = \frac{L}{R}\, </math> ;
| |
| − |
| |
| − | <math> L = \frac{\tau^2}{C}\, </math> ; <math> R = \frac{\tau}{C}\, </math> ;
| |
| − |
| |
| − | <math> L = C \cdot R^2\,</math> ; <math> \tau = C \cdot R\, </math> ;
| |
| − |
| |
| − | <math> R = \sqrt{\frac{L}{C}}\,</math> ; <math> \tau = \sqrt{C \cdot L}\, </math> ;
| |
| − |
| |
| − | ----
| |
| − |
| |
| − | <math> C = \frac{Q}{U}\, </math> ; <math> E = \frac{Q \cdot U}{2}\, </math> ;
| |
| − |
| |
| − | <math> C = \frac{2 \cdot E}{U^2}\, </math> ; <math> Q = \frac{2 \cdot E}{U}\, </math> ;
| |
| − |
| |
| − | <math> C = \frac{Q^2}{2 \cdot E}\, </math> ; <math> U = \frac{2 \cdot E}{Q}\, </math> ;
| |
| − |
| |
| − | <math> E = \frac{C \cdot U^2}{2}\, </math> ;<math>Q = C \cdot U\, </math> ;
| |
| − |
| |
| − | <math> E = \frac{Q^2}{2 \cdot C}\, </math> ;<math>U = \frac{Q}{C}\, </math> ;
| |
| − |
| |
| − | <math> Q = \sqrt{2 \cdot C \cdot E}\,</math> ; <math> U = \sqrt{\frac{E}{2 \cdot C}}\, </math> ;
| |
| − |
| |
| − | ----
| |
| − |
| |
| − | <math> E = \frac{\Psi^2}{2 \cdot L}\, </math> ; <math> I = \frac{\Psi}{L}\, </math> ;
| |
| − |
| |
| − | <math> E = \frac{I \cdot \Psi}{2}\, </math> ; <math> L = \frac{\Psi}{I}\, </math> ;
| |
| − |
| |
| − | <math> E = \frac{I^2 \cdot L}{2}\, </math> ; <math> \Psi = I \cdot L\, </math> ;
| |
| − |
| |
| − | <math> I = \frac{2 \cdot E}{\Psi}\, </math> ; <math> L = \frac{\Psi^2}{2 \cdot E}\, </math> ;
| |
| − |
| |
| − | <math> I = \sqrt{\frac{2 \cdot E}{L}}\,</math> ; <math> \Psi = \sqrt{2 \cdot E \cdot L}\, </math> ;
| |
| − |
| |
| − | <math> L = \frac{2 \cdot E}{I^2}\, </math> ; <math> \Psi = \frac{2 \cdot E}{I}\, </math> ;
| |
| − |
| |
| − | ----
| |
| − |
| |
| − | <math> C_\uparrow = \frac{-t}{R \cdot \ln \left( 1-\frac{U_{C}}{U_b} \right)} \,</math> ;
| |
| − | <math> C_\downarrow = \frac{-t}{R \cdot \ln \left( \frac{U_{C}}{U_b} \right)} \,</math>
| |
| − |
| |
| − | <math> R_\uparrow = \frac{-t}{C \cdot \ln \left( 1-\frac{U_{C}}{U_b} \right)} \,</math> ;
| |
| − | <math> R_\downarrow = \frac{-t}{C \cdot \ln \left( \frac{U_{C}}{U_b} \right)} \,</math>
| |
| − |
| |
| − | <math> t_\uparrow = -C \cdot R \cdot \ln \left( 1-\frac{U_{C}}{U_b} \right) \,</math> ;
| |
| − | <math> t_\downarrow = -C \cdot R \cdot \ln \left( \frac{U_{C}}{U_b} \right) \,</math>
| |
| − |
| |
| − | <math> U_{C\uparrow} = U_b \cdot \left( 1 - \operatorname{e}^{-\frac{t}{C \cdot R}} \right)\, </math> ;
| |
| − | <math> U_{C\downarrow} = U_b \cdot \operatorname{e}^{-\frac{t}{C \cdot R}}\, </math>
| |
| − |
| |
| − | <math> |I| = \frac{U_b}{R} \cdot \operatorname{e}^{-\frac{t}{C \cdot R}}\, </math>;
| |
| − |
| |
| − | == C L R ==
| |
| − |
| |
| − | Soros
| |
| − |
| |
| − | <math> C = \frac{-1}{2 \cdot \pi \cdot f \cdot \Im(Z)}\, </math>;
| |
| − |
| |
| − | <math> L = \frac{ \Im(Z) }{2 \cdot \pi \cdot f}\, </math>;
| |
| − |
| |
| − | <math> R = \Re(Z)\, </math>;
| |
| − |
| |
| − | ----
| |
| − |
| |
| − | CLR <math> Z = R + \left( \frac{-1}{2 \cdot \pi \cdot f \cdot C} + 2 \cdot \pi \cdot f \cdot L \right) \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | CL- <math> Z = \left( \frac{-1}{2 \cdot \pi \cdot f \cdot C} + 2 \cdot \pi \cdot f \cdot L \right) \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | C-R <math> Z = R + \frac{-1}{2 \cdot \pi \cdot f \cdot C} \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | C-- <math> Z = \frac{-1}{2 \cdot \pi \cdot f \cdot C} \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | -LR <math> Z = R + 2 \cdot \pi \cdot f \cdot L \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | -L- <math> Z = 2 \cdot \pi \cdot f \cdot L \cdot \mathrm{i}\, </math>;
| |
| − |
| |
| − | --R <math> Z = R\, </math>;
| |
| − |
| |
| − | --- <math> Z = 0 \; \Omega\, </math>;
| |
| − |
| |
| − | <math> Y = \frac{1}{Z}\, </math>;
| |
| − |
| |
| − | ----
| |
| − |
| |
| − | Párhuzamos
| |
| − |
| |
| − | <math> C = \frac{\Im(Y)}{2 \cdot \pi \cdot f}\, </math>;
| |
| − |
| |
| − | <math> L = \frac{-1}{2 \cdot \pi \cdot f \cdot \Im(Y)}\, </math>;
| |
| − |
| |
| − | <math> R = \frac{1}{\Re(Y)}\, </math>;
| |
| − |
| |
| − | ---
| |
| − |
| |
| − | CLR <math> Y = \frac{1}{R} + \left( 2 \cdot \pi \cdot f \cdot C + \frac{-1}{ 2 \cdot \pi \cdot f \cdot L} \right) \cdot \mathrm{i} \,</math> ;
| |
| − |
| |
| − | CL- <math> Y = \left( 2 \cdot \pi \cdot f \cdot C + \frac{-1}{ 2 \cdot \pi \cdot f \cdot L} \right) \cdot \mathrm{i} \,</math> ;
| |
| − |
| |
| − | C-R <math> Y = \frac{1}{R} + 2 \cdot \pi \cdot f \cdot C \cdot \mathrm{i}\,</math> ;
| |
| − |
| |
| − | C-- <math> Y = 2 \cdot \pi \cdot f \cdot C \cdot \mathrm{i}\,</math> ;
| |
| − |
| |
| − | -LR <math> Y = \frac{1}{R} + \frac{-1}{ 2 \cdot \pi \cdot f \cdot L} \cdot \mathrm{i}\,</math> ;
| |
| − |
| |
| − | -L- <math> Y = \frac{-1}{ 2 \cdot \pi \cdot f \cdot L} \cdot \mathrm{i}\,</math> ;
| |
| − |
| |
| − | --R <math> Y = \frac{1}{R}\,</math> ;
| |
| − |
| |
| − | --- <math> Y = 0 \; \mathrm{S}\,</math> ;
| |
| − |
| |
| − | <math> Z = \frac{1}{Y}\,</math> ;
| |
| − |
| |
| − | == :) ==
| |
| − |
| |
| − | <math> p_g = \frac{g}{A}\, </math> ;
| |
