Szerkesztő:Gg630504/Képletek

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[math] = \, [/math]

ABC

A

  • APU_aflPU_a ● [math] a_{Pf} = a_{P0}^{\sqrt{\dfrac{f}{f_0}}} \, [/math]
  • APU_aflPU_A ● [math] A_P = a_{P0}^{\sqrt{\dfrac{f}{f_0}} \cdot l} = a_{Pf}^l\, [/math]
  • APU_aflPU_Pb ● [math] P_b = \dfrac{P_k}{A_P}\, [/math]
  • APU_aflPU_Pk ● [math] P_k = A_P \cdot P_b\, [/math]
  • APU_aflPU_Ub ● [math] U_b = \dfrac{U_k}{\sqrt{A_P}}\, [/math]
  • APU_aflPU_Uk ● [math] U_k = \sqrt{A_P} \cdot U_b\, [/math]
  • A_IJ_A_J1 ● [math] A = I \cdot J^{-1}\, [/math]
  • A_IJ_A_J ● [math] A = \dfrac{I}{J}\, [/math]
  • A_IJ_d_J1 ● [math] d = \sqrt{\dfrac{4 \cdot I \cdot J^{-1}}{\pi}}\, [/math]
  • A_IJ_d_J ● [math] d = \sqrt{\dfrac{4 \cdot I}{\pi \cdot J}}\, [/math]

C

  • 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]
  • C_CfInU_f ● [math] f_r = n \cdot f\, [/math]
  • C_CfInU_C ● [math] C = \dfrac{I}{n \cdot f \cdot U_{pp}}\, [/math]

F

  • fQRG_fXTL_7005RX ● [math] f_{7005\_RXL} = 9 \cdot f_k+21,4\cdot 10^6 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_7005TX ● [math] f_{7005\_TX} = 12 \cdot f_k\, [/math]
  • fQRG_fXTL_ICRX ● [math] f_{IC\_RX} = 9 \cdot f_k+10,7\cdot 10^6 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_ICTX ● [math] f_{IC\_TX} = 8 \cdot f_k\, [/math]
  • fQRG_fXTL_MTRXL ● [math] f_{MT\_RXL} = 3 \cdot f_k+10,7\cdot 10^6 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_MTRXU ● [math] f_{MT\_RXU} = 3 \cdot f_k-10,7\cdot 10^6 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_MTTX ● [math] f_{MT\_TX} = 18 \cdot f_k\, [/math]
  • fQRG_fXTL_VRXL ● [math] f_{V\_RXL} = 17 \cdot f_k+455\cdot 10^3 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_VRXU ● [math] f_{V\_RXU} = 15 \cdot f_k-455\cdot 10^3 \ \mathrm{Hz}\, [/math]
  • fQRG_fXTL_VTX ● [math] f_{V\_TX} = 24 \cdot f_k\, [/math]
  • fXTL_fQRG_7005RX ● [math] f_{7005\_RXL} = (f_v-21,4\cdot 10^6 \ \mathrm{Hz}) / 9\, [/math]
  • fXTL_fQRG_7005TX ● [math] f_{7005\_TX} = f_v / 12\, [/math]
  • fXTL_fQRG_ICRX ● [math] f_{IC\_RX} = (f_v-10,7\cdot 10^6 \ \mathrm{Hz}) / 9\, [/math]
  • fXTL_fQRG_ICTX ● [math] f_{IC\_TX} = f_v / 8\, [/math]
  • fXTL_fQRG_MTRX ● [math] f_{MT\_RXL} = (f_v-10,7\cdot 10^6 \ \mathrm{Hz}) / 3\, [/math]
  • fXTL_fQRG_MTRXU ● [math] f_{MT\_RXU} = (f_v+10,7\cdot 10^6 \ \mathrm{Hz}) / 3\, [/math]
  • fXTL_fQRG_MTTX ● [math] f_{MT\_TX} = f_v / 18\, [/math]
  • fXTL_fQRG_VRXL ● [math] f_{V\_RXL} = (f_v-455\cdot 10^3 \ \mathrm{Hz}) / 17\, [/math]
  • fXTL_fQRG_VRXU ● [math] f_{V\_RXU} = (f_v+455\cdot 10^3 \ \mathrm{Hz}) / 15\, [/math]
  • fXTL_fQRG_VTX ● [math] f_{V\_TX} = f_v / 24\, [/math]
  • f_CInU_f ● [math] f = \dfrac{I}{C \cdot n \cdot U}\, [/math]
  • f_CInU_fr ● [math] f_r = f \cdot n = \dfrac{I}{C \cdot U}\, [/math]

I

  • I_CfnU_fr ● [math] f_r = f \cdot n\, [/math]
  • I_CfnU_I ● [math] I = C \cdot f \cdot n \cdot U\, [/math]

P

  • PphiQSYZ_IU_cosphi ● [math] \cos(\varphi) = \dfrac{\mathrm{re}(S)}{|S|}\, [/math]
  • PphiQSYZ_IU_P ● [math] P = \mathrm{re}(S)\, [/math]
  • PphiQSYZ_IU_phi ● [math] \varphi = \arctan \left(\dfrac{\mathrm{im}(S)}{\mathrm{re}(S)} \right)\, [/math]
  • PphiQSYZ_IU_Q ● [math] Q = \mathrm{im}(S)\, [/math]
  • PphiQSYZ_IU_S ● [math] S = U \cdot I^*\, [/math]
  • PphiQSYZ_IU_Y ● [math] Y = \dfrac{I}{U}\, [/math]
  • PphiQSYZ_IU_Z ● [math] Z = \dfrac{U}{I}\, [/math]

T

  • t_tTZ2 ● [math] t_1 = t_0 - TZ_0 + TZ_1\, [/math]

U

  • U_CfIN_f ● [math] f_r = n \cdot f\, [/math]
  • U_CfIN_U ● [math] U_{pp} = \dfrac{I}{C \cdot n \cdot f}\, [/math]

Rövid bevezető

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\ \mathrm{amper}}{12\ \mathrm{volt}} = 0,1458\ \mathrm{siemens}\, [/math]
  • bev_G_IU ● [math] G = \dfrac{I}{U}\, [/math]
  • bev_I_250_mA ● [math] I = \dfrac{Q}{t} = \dfrac{9000\ \mathrm{coulomb}}{36000\ \mathrm{s}} = 0,25\ \mathrm{amper}\, [/math]
  • bev_I_Qt ● [math] I = \dfrac{Q}{t}\, [/math]
  • bev_I_RU ● [math] I = \dfrac{U}{R}\, [/math]
  • bev_P_12_51 ● [math] P = \dfrac{(12\ \mathrm{volt})^2}{51\ \mathrm{ohm}} = \dfrac{12\ \mathrm{volt} \cdot 12\ \mathrm{volt}}{51\ \dfrac{\mathrm{volt}}{\mathrm{amper}}} = 2,824\ \mathrm{watt}\, [/math]
  • bev_P_auto ● [math] P = I \cdot U = 1,75\ \mathrm{amper} \cdot 12\ \mathrm{volt} = 21\ \mathrm{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_IU_ ● [math] P = I \cdot U\, [/math]
  • bev_P_RU ● [math] P = I \cdot U = \left(\dfrac{U}{R}\right)\cdot U = \dfrac{U^2}{R}\, [/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{U}{I} = \dfrac{12\ \mathrm{volt}}{1,75\ \mathrm{amper}} = 6,857\ \mathrm{ohm}\, [/math]
  • bev_R_IU ● [math] R = \dfrac{U}{I}\, [/math]
  • bev_RU ● [math] \dfrac{U}{R}\, [/math]
  • bev_T_50_Hz ● [math] T = \dfrac{1}{f} = \dfrac{1}{50\ \mathrm{Hz}} = 0,02\ \mathrm{s}\, [/math]
  • bev_T_f ● [math] T = \dfrac{1}{f}\, [/math]
  • bev_U_QW ● [math] U_{AB} = \dfrac{W_{AB}}{Q}\, [/math]
  • bev_W_QU ● [math] W = Q \cdot U\, [/math]
  • bev_F_Glm ● [math] F = G \cdot \dfrac{m_0 \cdot m_1}{l^2}\, [/math]
  • bev_F_epslQ ● [math] F = \dfrac{1}{4 \cdot \pi \cdot \epsilon_0} \cdot \dfrac{Q_0 \cdot Q_1}{l^2}\, [/math]
  • bev_W_Glm ● [math] W_{m_0 l} = \left( G \cdot \dfrac{ m_0}{l} \right) \cdot m_1= U \cdot m_1\, [/math]
  • bev_W_epslQ ● [math] W_{Q_0 l} = \left( \dfrac{1}{4 \cdot \pi \cdot \epsilon_0} \cdot \dfrac{Q_0}{l} \right) \cdot Q_1= U \cdot Q_1\, [/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]