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Formula Sheet _4

# Formula Sheet _4 - Possibly Useful Information for...

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Possibly Useful Information for Electricity and Magnetism : F e = kq 1 q 2 r 2 = q 1 q 2 4 π ε o r 2 F = q E E N A E = kQ r 2 = Q 4 π ε o r 2 E = 2k λ r = λ 2 π ε o r Φ E = E d A E = 2 π k σ = σ 2 ε o E = 4 π k σ = σ ε o o E d A = 4 π kQ encl = Q encl ε o V ba = V(b) - V(a) = - a b E d l U e ( r ) = qV( r ) V = kQ r = Q 4 π ε o r E x (x) = - dV(x) dx E ( r ) = - V( r ) U e = kq 1 q 2 r = q 1 q 2 4 π ε o r I = dQ dt = JA J = nq v d = 1 ρ E R = V I = ρ L A ρ (T) = ρ (T o ) [1 + α (T - T o )] R eq = R 1 + R 2 1 R eq = 1 R 1 + 1 R 2 E breakdown air ~ 3 x 10 6 V/m c = 3.0 x 10 8 m/s P = IV = V 2 R = I 2 R k = 1/4 π ε o = 9.0 × 10 9 N-m 2 /C 2 ε o = 8.85 × 10 -12 C 2 /N-m 2 (or F/m) κ = E out /E in C = Q V = κ ε o A d U C = 1 2 QV = 1 2 Q 2 C = 1 2 CV 2 u E = 1 2 ε o E 2 1 C eq = 1 C 1 + 1 C 2 q(t) = Q f (1 - e -t/ τ ) i(t) = I o e -t/ τ q(t) = Q o e -t/ τ τ = RC C eq = C 1 + C 2 F B = q v × B F B = I l × B B = μ o nI o B d l = μ o (I encl + ε o d Φ E dt ) d B = μ o 4 π I d l × r ^ r 2 B = μ o IR 2 2(x 2 + R 2 ) 3/2 B = μ o I 2 π r μ o = 4 π x 10 -7 T-m/A (or H/m) μ = I A τ = μ × B ε = o E d l = - d Φ

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Formula Sheet _4 - Possibly Useful Information for...

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