Formula sheet

Formula sheet - Formula Sheet J = E (Ohm's law) d E = - dt...

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Unformatted text preview: Formula Sheet J = E (Ohm's law) d E = - dt (flux rule) = M I (self-inductance M) 0 d 1 dl M12 = 4 S1 S2 |rl1 -r2 (mutual inductance) 2 = - J (conservation t (umech + uem ) = - S t (p + pem ) = T t mech laws) 1 S = 0 E B (Poynting vector) 1 1 Tij = 0 (Ei Ej - 2 ij E 2 ) + 0 (Bi Bj - 1 ij B 2 ) (Maxwell's stress tensor) 2 A = A + (Gauge transformation) V = V - t A = 0 (Coulomb gauge) A = -0 0 t V (Lorentz gauge) - 0 0 - 0 0 , = v , = 1 = (Lorentz transformation c 0 1- 2 0 1 0 0 0 0 1 with boost in x-direction) -1 0 0 0 0 1 0 0 g = g = 0 0 1 0 (metric tensor) 0 0 0 1 1 F Ey Ez Ex 0 c c c - Ex 0 Bz -By c (field tensor) E = - cy -Bz 0 Bx - Ez By -Bx 0 c 0 Bx By Bz -Bx 0 - Ez Ey c c (dual field tensor) = 0 - Ex -By Ez c c -Bz - Ey Ex 0 c c c j V c F j = (4-vector current) A = A (4-vector potential) = -uem - 1 S c -1S c (energy-momentum tensor) T 2 ...
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Formula sheet - Formula Sheet J = E (Ohm's law) d E = - dt...

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