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exam2formulas

# exam2formulas - Constants e = 1.6 1019 C mp = 1.67 1027 kg...

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Constants: e = 1 . 6 × 10 - 19 C m p = 1 . 67 × 10 - 27 kg m e = 9 . 1 × 10 - 31 kg ǫ o = 8 . 85 × 10 - 12 C 2 /N · m 2 1 / (4 πǫ o ) = 9 × 10 9 N · m 2 /C 2 μ o = 4 π × 10 - 7 T · m/A nano = 10 - 9 micro = 10 - 6 Coulomb’s Law: | vector F | = | q 1 || q 2 | 4 πǫ o r 2 (point charge) Electric field: vector E = vector F q vector E = q 4 πǫ o r 2 ˆ r (point charge) vector E = integraldisplay dq 4 πǫ o r 2 ˆ r (general) Gauss’ law: Φ = ˆ n · vector E A = contintegraldisplay ˆ n · vector E dA = q enc ǫ o Energy: W = integraldisplay vector F · dvectors = 1 2 mv 2 f - 1 2 mv 2 i = K f - K i For conservative forces U f - U i = - integraldisplay vector F · dvectors K i + U i = K f + U f Electric potential: V = U q V = q 4 πǫ o r (point charge) V = integraldisplay dq 4 πǫ o r (general) V b - V a = - integraldisplay b a E x dx = - integraldisplay b a vector E · dvectors E x = - ∂V ∂x , E y = - ∂V ∂y , E z = - ∂V ∂z Capacitors: q = CV C = ǫ o A d (parallel-plate) C = C 1
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