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EquationsheetPHYS241Exam2

EquationsheetPHYS241Exam2 - Equation Sheet PHYS 241 C2 T m...

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Equation Sheet PHYS 241 Elementary charge: 1.602 x 10 19 C ε o = 8.85 x 10 12 C 2 N m 2 μ o = 4 π x 10 7 T m A Mass of an electron: 9.11 x 10 31 kg k = 8.99 x 10 9 N m 2 C 2 = 1 4 πε o Mass of a proton: 1.67 x 10 27 kg g = 9.81 m s 2 c = 3 x 10 8 m / s F = qE  F = q 1 q 2 4 πε o r 2 ˆ r E = q 4 πε o r 2 ˆ r d E = k dq 1 r 2 ˆ r Φ = E ˆ n S dA = Q ε o Δ V = V b V a = E a b i d l dU = F i d l dV = dU q o = E i d l V = kq r V = kq i r i V = Q C C = ε o A d E x = dV dx E y = dV dy E z = dV dz U = 1 2 QV = 1 2 CV 2 = 1 2 Q 2 C Capacitors in Series: 1 C equiv = 1 C 1 + 1 C 2 + ... Capacitors in Parallel: C equiv = C 1 + C 2 + ... u = 1 2 ε o E 2 ε = κε o E = - V R = ρ L A P = IV α = ( ρ ρ o ) / ρ o T T o Resistors in Parallel: 1 R equiv = 1 R 1 + 1 R 2 + ... Resistors in Series: R equiv = R 1 + R 2 + ... Q ( t ) = C ε (1 e t / τ RC ) Q ( t ) = C ε e t / τ RC I = ε R e t / τ RC I = ε o R e t / τ RL I = ε o R (1 e t / τ RL ) τ RC = RC τ RL = L / R F = q v ×
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