mtequationsheet

# mtequationsheet - Capacitors q = CV C = κε A d U e = 1 2...

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Physics 132 Summer 2008 Midterm 9:30 07/24/08 Potentially Useful Constants and Equations Physical Constants Permittivity constant ε 0 8 . 854 × 10 - 12 F / m Electrostatic constant k 1 4 πε 0 = 8 . 988 × 10 9 N m 2 / C 2 Elementary charge e 1 . 602 × 10 - 19 C Electron mass m e 9 . 109 × 10 - 31 kg Proton mass m p 1 . 673 × 10 - 27 kg Free-fall acceleration at Earth’s surface g 9 . 80 m / s 2 Gravitational constant G 6 . 673 × 10 - 11 N m 2 / kg 2 Electrical Forces ! F net = i ! F i ± ± ± ± ! F ± ± ± ± = k | q 1 | | q 2 | r 2 Electric Fields ! E net = i ! E i ± ± ± ± ! E ± ± ± ± = k | Q | r 2 ! F = q ! E line : ± ± ± ± ! E ± ± ± ± = 2 k | λ | r sheet : ± ± ± ± ! E ± ± ± ± = | σ | 2 ε 0 Gauss’ Law Φ = ² ! E · d ! A ³ ! E · d ! A = q enc ε 0 1

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Energy Δ U e = - W e W app = Δ E sys = Δ KE + Δ U g + Δ U e U e = kq 1 q 2 r W = ! F · !s Electric Potentials Δ U e = q Δ V V net = i V i V = kQ r Δ V = V f - V i = - ± f i ! E · d!s E s = - ∂V ∂s
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Unformatted text preview: Capacitors q = CV C = κε A d U e = 1 2 CV 2 = q 2 2 C = 1 2 qV parallel : C eq = C 1 + C 2 + . . . series : 1 C eq = 1 C 1 + 1 C 2 + . . . Geometry V cube = L 3 V sphere = 4 3 πR 3 V cylinder = πR 2 L A circle = πR 2 A sphere = 4 πR 2 A cylinder = 2 πR 2 +2 πRL 2 Gravity ! F = m!g ! F = Gm 1 m 2 r 2 Newton’s 2nd Law ! F = m!a Constant-acceleration motion Δ x = v x t + 1 2 a x t 2 v x = v x + a x t v 2 x = v 2 x + 2 a x Δ x 3...
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mtequationsheet - Capacitors q = CV C = κε A d U e = 1 2...

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