Physics Constants and Equations - Prof. Stephen Saddow, Study notes of Electrical and Electronics Engineering

Download Physics Constants and Equations - Prof. Stephen Saddow and more Study notes Electrical and Electronics Engineering in PDF only on Docsity! Constants Equations mO = 9.1  1031 kg q = 1.6  1019 C c = 2.997925 x 108 m/s NO = 6.0  1023 /mole  O = 8.854 x 10-12 F/m  o = 4 x 10-7 H/m E = h Photon energy c =  EM Dispersion F = q (E + v x B) Lorentz Force Law F = q1q2/4 R Coulomb’s Law E = F/q E field definition F = - V/X Force vs. Potential E = ½ C V2 Energy stored in C E = ½ L I2 Energy stored in L P = E x H Poynting Vector PAVG = ½ Re{E x H*}Poynting Vector phasors UE = -½∫V D  E dV UH = ½∫V B  H dV J = E Ohm’s Law J = vp Convection Current J = -/t D = E Displacement vector D = OE + P Polarization P = O  E Electric susceptibility 2 - 1 = - ∫12 EdL Electrostatic potential E = -  C = Q/(2 - 1) Capacitance definition B = H Magnetic flux density L = (1/I) ∫S B  dS Inductance n x (E1 – E2) = 0 b.c. on tan E n x (H1 – H2) = JS b.c. on tan H n  (D1 – D2) = S b.c. on normal D n  (B1 – B2) = 0 b.c. on normal B Vector Identities (+ ) =  +  (A+B) = ) = A + B) =  x (A+B) = ) =  x A + xB) = () =  +  (A) = A  + A (A x B) = ) = B) = xA – A  x B) = x(A) =  x A +  x A  x (A x B) = ) = A B) = - B) = A + (B) = )A – (A )B) =  = 2  x  = 0  x  x A = ( A) - 2A (AB) = ) = (A )B) = + (B) = )A + Ax(x B) = ) + B) = x(xA) AB) = x C = B) = A x C = CA x B) = A x B) = x C = B) = (AC) – C(AB) = ) ∫S ( x A)  dS = ∫L A  dL Stoke’s Theorem ∫V A dV = ∫S A  dS Divergence Theorem Circuit Equations IC = C dV/dt VC = 1/C ∫i dt + VO IL = 1/L ∫v dt + IO VL = L di/dt V = I R Ohm’s Law