Szerkesztő:Gg630504/Képletek forrásának megtekintése


[http://hg9ieg.uw.hu/szamolo/index.html Számoló]

== 0 ==

<math>  = \, </math> ●

== ABC ==

* A_IJ_A_J1 ● <math> A = I \cdot J^{-1}\, </math>
* A_IJ_A_J1 ● <math> d = \sqrt{\dfrac{4 \cdot I \cdot J^{-1}}{\pi}}\, </math>
* A_IJ_A_J ● <math> A = \dfrac{I}{J}\, </math>
* A_IJ_d_J ● <math> d = \sqrt{\dfrac{4 \cdot I}{\pi \cdot J}}\, </math>
* Cdelta_star_C01 ● <math> C_{01} = \dfrac{C_{0} \cdot C_{1}}{C_{0} + C_{1} + C_{2}}\, </math>
* Cdelta_star_C02 ● <math> C_{02} = \dfrac{C_{0} \cdot C_{2}}{C_{0} + C_{1} + C_{2}}\, </math>
* Cdelta_star_C12 ● <math> C_{12} = \dfrac{C_{1} \cdot C_{2}}{C_{0} + C_{1} + C_{2}}\, </math>
* Cstar_delta_C0 ● <math> C_{0} = \dfrac{C_{01} \cdot C_{02}}{C_{12}} + C_{01} + C_{02}\, </math>
* Cstar_delta_C1 ● <math> C_{1} = \dfrac{C_{01} \cdot C_{12}}{C_{02}} + C_{01} + C_{12}\, </math>
* Cstar_delta_C2 ● <math> C_{2} = \dfrac{C_{02} \cdot C_{12}}{C_{01}} + C_{02} + C_{12}\, </math>


== Rövid bevezető ==

[http://users.atw.hu/hg9ieg/_sz/rovid_bevezeto_az_elektronikaba.html rovid_bevezeto_az_elektronikaba.html]

* bev_f_T ● <math> f = \dfrac{1}{T}\, </math>
* bev_G_auto ● <math> G = \dfrac{I}{U} = \dfrac{1,75\ amper}{12\ volt} = 0,1458\ siemens\, </math>
* bev_G_IU ● <math> G = \dfrac{I}{U}\, </math>
* bev_I_250_mA ● <math> I = \dfrac{Q}{t} = \dfrac{9000\ coulomb}{36000\ s} = 0,25\ amper\, </math>
* bev_I_Qt ● <math> I = \dfrac{Q}{t}\, </math>
* bev_P_auto ● <math> P = I \cdot U = 1,75\ amper \cdot 12\ volt = 21\ watt\, </math>
* bev_P_IU ● <math> P = \dfrac{W}{t} = \dfrac{Q \cdot U}{t} = \dfrac{I \cdot t \cdot U}{t} = I \cdot U\, </math>
* bev_P_tW ● <math> P = \dfrac{W}{t}\, </math>
* bev_Q_It ● <math> Q = I \cdot t\, </math>
* bev_R_auto ● <math> R = \dfrac{I}{U} = \dfrac{12\ volt}{1,75\ amper} = 6,857\ ohm\, </math>
* bev_R_IU ● <math> R = \dfrac{U}{I}\, </math>
* bev_T_50_Hz ● <math> T = \dfrac{1}{f} = \dfrac{1}{50\ Hz} = 0,02\ s\, </math>
* bev_T_f ● <math> T = \dfrac{1}{f}\, </math>
* bev_U_QW ● <math> U = \dfrac{W}{Q}\, </math>
* bev_W_QU ● <math> W = Q \cdot U\, </math>

== AdeltaGR_Aflmurho ==

<math> d = 2 \cdot \sqrt \dfrac{A}{\pi}\, </math> ●
<math> d = 2 \cdot r\, </math> ●

<math> \delta = \sqrt \dfrac{\rho}{\pi \cdot f \cdot \mu_r \cdot \mu_0}\, </math> ●
<math> \delta = \sqrt \dfrac{1}{\pi \cdot f \cdot \gamma \cdot \mu_r \cdot \mu_0}\, </math> ●

<math> A_{DC} = A\, </math> ●
<math> A_{DC} = \dfrac{\pi}{4} d^2\, </math> ●
<math> A_{DC} = \pi \cdot r^2\, </math> ●
<math> A_{DC} = a \cdot b\, </math> ●

<math> A_{AC} = \pi \cdot \delta \cdot( d - \delta )\, </math> ●
<math> A_{AC} = 2 \cdot \delta \cdot ( a + b - 2 \cdot \delta )\, </math> ●

<math> G_{DC} = \dfrac{A_{DC} \cdot \gamma}{l}\, </math> ●
<math> G_{DC} = \dfrac{A_{DC} }{l\cdot \rho}\, </math> ●
<math> G_{AC} = \dfrac{A_{AC} \cdot \gamma}{l}\, </math> ●
<math> G_{AC} = \dfrac{A_{AC} }{l\cdot \rho}\, </math> ●


<math> R_{DC} = \dfrac{l}{A_{DC} \cdot \gamma}\, </math> ●
<math> R_{DC} = \dfrac{l\cdot \rho}{A_{DC} }\, </math> ●
<math> R_{AC} = \dfrac{l}{A_{AC} \cdot \gamma}\, </math> ●
<math> R_{AC} = \dfrac{l\cdot \rho}{A_{AC} }\, </math> ●

<math> A_{DC/AC}= G_{DC/AC}= R_{AC/DC} = \dfrac{A_{DC}}{A_{AC}}\,  </math> ●

== α ● C ● T ==

* alpha_CT__alpha ● <math> \alpha = \dfrac{\dfrac{C_1}{C_0}-1}{T_1 - T_0} \, </math>
<math> C_1 = C_0 \cdot( 1 + \alpha \cdot( T_1 - T_0 ) ) \, </math> ●
<math> T_1 = T_0 + \dfrac{\dfrac{C_1}{C_0}-1}{ \alpha} \, </math> ●

== α ● GR ● T ==

<math> G_1 = \dfrac{1}{R_1} \, </math> ●
<math> R_1 = R_0 \cdot( 1 + \alpha \cdot( T_1 - T_0 ) ) \, </math> ●

<math> G_1 = \dfrac{G_0}{ 1 + \alpha \cdot( T_1 - T_0 )} \, </math> ●
<math> R_1 = \dfrac{1}{G_1} \, </math> ●

<math> T_1 = T_0 + \dfrac{\dfrac{G_0}{G_1}-1}{ \alpha} \, </math> ●
<math> T_1 = T_0 + \dfrac{G_0 \cdot R_1 - 1}{ \alpha} \, </math> ●
<math> T_1 = T_0 + \dfrac{\dfrac{1}{R_0 \cdot G_1}-1}{ \alpha} \, </math> ●
<math> T_1 = T_0 + \dfrac{\dfrac{R_1}{R_0}-1}{ \alpha} \, </math> ●

* alpha_GRT_GG ● <math> \alpha = \dfrac{\dfrac{G_0}{G_1}-1}{T_1 - T_0} \, </math>
* alpha_GRT_GR ● <math> \alpha = \dfrac{G_0 \cdot R_1 - 1}{T_1 - T_0} \, </math>
* alpha_GRT_RG ● <math> \alpha = \dfrac{\dfrac{1}{R_0 \cdot G_1}-1}{T_1 - T_0} \, </math>
* alpha_GRT_RR ● <math> \alpha = \dfrac{\dfrac{R_1}{R_0}-1}{T_1 - T_0} \, </math>

== B_DfQ ==

<math> B = \dfrac{f}{Q}\, </math> ●
<math> B = D \cdot f\, </math> ●

== BDfQR_CLR ==

<math> D = 0\, </math> ●
<math> D = \dfrac{1}{R_p} \cdot \sqrt{ \dfrac{L}{C} }\, </math> ●
<math> D = R_s \cdot \sqrt{ \dfrac{C}{L} }\, </math> ●
<math> D = \dfrac{1}{R_p} \cdot \sqrt{ \dfrac{L}{C} } + R_s \cdot \sqrt{ \dfrac{C}{L} }\, </math> ●
<math> Q = \dfrac{1}{D}\, </math> ●
<math> f = \dfrac{1}{2 \cdot \pi \cdot f \cdot \sqrt{C \cdot L }} \cdot \sqrt{1 - \dfrac{1}{4 \cdot Q^2}}\, </math> ●
<math> B = D \cdot f\, </math> ●
<math> R_s = 0 \ \Omega \, </math> ●
<math> R_p =  \dfrac{1}{D} \cdot \sqrt{ \dfrac{L}{C} }\, </math> ●
<math> R_p = \infin \ \Omega \, </math> ●
<math> R_s =  D \cdot \sqrt{ \dfrac{L}{C} }\, </math> ●
<math> Z_0 =  \sqrt{ \dfrac{L}{C} }\, </math> ●

== CE_IQUt ==

<math> C = \dfrac{Q}{U}\, </math> ●
<math> E = \dfrac{Q \cdot U}{2}\, </math> ●
<math> C = \dfrac{I \cdot t}{U}\, </math> ●
<math> E = \dfrac{I \cdot t \cdot U}{2}\, </math> ●

== Cf_LR ( elsőfokú szűrő ) ==

<math> C = \dfrac{L}{R^2}\, </math> ●
<math> f_v = \dfrac{R}{2 \cdot \pi \cdot L}\, </math> ●

== CL_fR ( elsőfokú szűrő ) ==

<math> C = \dfrac{1}{2 \cdot \pi \cdot f_v \cdot R}\, </math> ●
<math> L = \dfrac{R}{2 \cdot \pi \cdot f_v}\, </math> ●

== cos φ ==

<math> \cos \phi = \dfrac{R}{|Z|}\, </math> ●

== CR_fL ( elsőfokú szűrő ) ==

<math> C = \dfrac{1}{4 \cdot \pi^2 \cdot {f_v}^2 \cdot L}\, </math> ●
<math> R = 2 \cdot \pi \cdot f_v \cdot L\, </math> ●

== CU_EIQt ==

<math> C = \dfrac{Q^2}{2 \cdot E}\, </math> ●
<math> U = \dfrac{2 \cdot E}{Q}\, </math> ●
<math> C = \dfrac{\left(I \cdot t\right)^2}{2 \cdot E}\, </math> ●
<math> U = \dfrac{2 \cdot E}{I \cdot t}\, </math> ●

== CYZ_fL ==

<math> C = \dfrac{1}{ \left( 2 \cdot \pi \cdot f \right)^2 \cdot L}\, </math> ●
<math> Y_L = \dfrac{-1}{ 2 \cdot \pi \cdot f \cdot L} \cdot \mathrm{i} = -\sqrt{\dfrac{C}{L}} \cdot \mathrm{i}\, </math> ●
<math> Z_L =  2 \cdot \pi \cdot f \cdot L\cdot \mathrm{i} = \sqrt{\dfrac{L}{C}} \cdot \mathrm{i} \, </math> ●

== DQ_Bf ==

<math> D = \dfrac{B}{f}\, </math> ●
<math> Q = \dfrac{f}{B}\, </math> ●

== DQRp_CfRs ==

<math> D = \tan \left( \delta \right) = 2 \cdot \pi \cdot f \cdot C \cdot R_s\, </math> ●
<math> \delta = \mathrm{atan} \left( D \right)\, </math> ●
<math> Q = \dfrac{1}{D} = \dfrac{1}{2 \cdot \pi \cdot f \cdot C \cdot R_s}\, </math> ●
<math> R_p = \dfrac{1}{{\left(2 \cdot \pi \cdot f \cdot C\right)}^2 \cdot R_s }\, </math> ●

== DQRp_fLRs ==

<math> D = \tan \left( \delta \right) = \dfrac{R_s}{2 \cdot \pi \cdot f \cdot L}\, </math> ●
<math> \delta = \mathrm{atan} \left( D \right)\, </math> ●
<math> Q = \dfrac{1}{D} = \dfrac{2 \cdot \pi \cdot f \cdot L}{R_s}\, </math> ●
<math> R_p = \dfrac{{\left(2 \cdot \pi \cdot f \cdot L\right)}^2 }{R_s }\, </math> ●

== DQRs_CfRp ==

<math> D = \tan \left( \delta \right) = \dfrac{1}{2 \cdot \pi \cdot f \cdot C \cdot R_p }\, </math> ●
<math> \delta = \mathrm{atan} \left( D \right)\, </math> ●
<math> Q = \dfrac{1}{D} = 2 \cdot \pi \cdot f \cdot C \cdot R_p\, </math> ●
<math> R_s = \dfrac{1}{{\left(2 \cdot \pi \cdot f \cdot C\right)}^2 \cdot R_p }\, </math> ●

== DQRs_fLRp ==

<math> D = \tan \left( \delta \right) = \dfrac{2 \cdot \pi \cdot f \cdot L}{ R_p }\, </math> ●
<math> \delta = \mathrm{atan} \left( D \right)\, </math> ●
<math> Q = \dfrac{1}{D} = \dfrac{R_p}{2 \cdot \pi \cdot f \cdot L }\, </math> ●
<math> R_s = \dfrac{{\left(2 \cdot \pi \cdot f \cdot L\right)}^2}{R_p }\, </math> ●

== E ● l ● U ==

<math> E = \dfrac{U}{l}\, </math> ●
<math> l = \dfrac{U}{E}\, </math> ●
<math> U = E \cdot l\, </math> ●

== EU_CIQt ==

<math> E = \dfrac{Q^2}{2 \cdot C}\, </math> ●
<math> U = \dfrac{Q}{C}\, </math> ●
<math> E = \dfrac{\left(I \cdot t \right)^2}{2 \cdot C}\, </math> ●
<math> U = \dfrac{I \cdot t}{C}\, </math> ●

== f_BDQ ==

<math> f = \dfrac{B}{D}\, </math> ●
<math> f = B \cdot Q\, </math> ●

== fL_CR ( elsőfokú szűrő ) ==

<math> f_v = \dfrac{1}{2 \cdot \pi \cdot\ C \cdot R}\, </math> ●
<math> L = C \cdot R^2\, </math> ●

== fR_CL ( elsőfokú szűrő ) ==

<math> f_v = \dfrac{1}{2 \cdot \pi \cdot\ \sqrt{C \cdot L}}\, </math> ●
<math> R = \sqrt\dfrac{L}{C}\, </math> ●

== G_gm ==

<math> G = g \cdot m\, </math> ●

== Gm_grhoV ==

<math> V = \dfrac{\pi \cdot d^3}{6}\, </math> ●
<math> V = \dfrac{4 \cdot \pi \cdot r^3}{3}\, </math> ●

<math> V = A \cdot l\, </math> ●
<math> V = \dfrac{\pi \cdot d^2 \cdot l}{4}\, </math> ●
<math> V = \pi \cdot r^2 \cdot l\, </math> ●

<math> V = a \cdot b \cdot c\, </math> ●

<math> m = \rho \cdot V\, </math> ●

<math> G = g \cdot m\, </math> ●

== h_Rbt ==

<math> h = R_b \cdot t\, </math> ●

== I_AJ ==

<math> I = A \cdot J\, </math> ●
<math> I = \dfrac{\pi \cdot d^2 \cdot J}{4}\, </math> ●
<math> I = \pi \cdot r^2 \cdot J\, </math> ●

<math> I = \dfrac{A}{J^{-1}}\, </math> ●
<math> I = \dfrac{\pi \cdot d^2}{4 \cdot J^{-1}}\, </math> ●
<math> I = \dfrac{\pi \cdot r^2}{J^{-1}}\, </math> ●

== J_AI ==

<math> J = \dfrac{I}{A}\, </math> ●
<math> J = \dfrac{4 \cdot I}{\pi \cdot d^2}\, </math> ●
<math> J = \dfrac{I}{\pi \cdot r^2}\, </math> ●

<math> J^{-1} = \dfrac{A}{I}\, </math> ●
<math> J^{-1} = \dfrac{\pi \cdot d^2}{4 \cdot I}\, </math> ●
<math> J^{-1} = \dfrac{\pi \cdot r^2}{I}\, </math> ●

== LR_Cf ( elsőfokú szűrő ) ==

<math> L = \dfrac{1}{4 \cdot \pi^2 \cdot C \cdot {f_v}^2}\, </math> ●
<math> R = \dfrac{1}{2 \cdot \pi \cdot C \cdot f_v}\, </math> ●

== l_RRl ==

<math> l = \dfrac{R}{R'} = \dfrac{A \cdot R}{\rho}\, </math> ●

== l_tv ==

<math> l = t \cdot v\, </math> ●

== m ● ρ ● V ==

<math> m = \rho \cdot V\, </math> ●
<math> \rho = \dfrac{m}{V}\, </math> ●
<math> V = \dfrac{m}{\rho}\, </math> ●

== P_tW ==

<math> P = \dfrac{W}{t}\, </math> ●

== Rb_ht ==

<math> R_b = \dfrac{h}{t}\, </math> ●

== Rl_lR ==

<math> R' = \dfrac{R}{l} = \dfrac{\rho}{A}\, </math> ●

== R_lRl ==

<math> R = l \cdot R' = \dfrac{l \cdot \rho}{A}\, </math> ●

== t_hRb ==

<math> t = \dfrac{h}{R_b}\, </math> ●

== t_IPUW ==

<math> t = \dfrac{W}{P}\, </math> ●
<math> t = \dfrac{W}{I \cdot U}\, </math> ●

== t_lv ==

<math> t = \dfrac{l}{v}\, </math> ●

== V_abcdrl ==

<math> V = \dfrac{\pi \cdot d^3}{6}\, </math> ●
<math> V = \dfrac{4 \cdot \pi \cdot r^3}{3}\, </math> ●

<math> V = A \cdot l\, </math> ●
<math> V = \dfrac{\pi \cdot d^2 \cdot l}{4}\, </math> ●
<math> V = \pi \cdot r^2 \cdot l\, </math> ●

<math> V = a \cdot b \cdot c\, </math> ●

== v_lt ==

<math> v = \dfrac{l}{t}\, </math> ●

== W_IPtU ==

<math> W = P \cdot t\, </math> ●
<math> W = I \cdot U \cdot t\, </math> ●