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1e3formula

# 1e3formula - Physics 1E03 Constants and Formul Earths...

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Physics 1E03 Constants and Formulæ: Earth’s gravitational field: g = 9 . 81m / s 2 permittivity of vacuum: ǫ 0 = 8 . 85 × 10 - 12 C 2 · N - 1 · m - 2 Coulomb’s Law constant: k e = 1 / 4 πǫ 0 = 8 . 99 × 10 9 N · m 2 / C 2 permeability of vacuum: μ 0 = 4 π × 10 - 7 T · m / A speed of light: c = 2 . 998 × 10 8 m / s electronic charge: e = 1 . 602 × 10 - 19 C electron mass: m e = 9 . 11 × 10 - 31 kg proton mass: m p = 1 . 67 × 10 - 27 kg v x = v 0 x + a x t x = x 0 + v 0 x t + 1 2 a x t 2 a r = v 2 r K = 1 2 mv 2 F = k e q 1 q 2 r 2 ˆ r F = q 0 E E = k e q r 2 ˆ r infinite plane: | E | = σ 2 ǫ 0 = 2 πk e σ Φ E integraldisplay E · dA Φ B integraldisplay B · dA Φ E = Q enclosed ǫ 0 = 4 πk e Q enclosed conductor: | E | = σ ǫ 0 = 4 πk e σ Δ V = Δ U q 0 = - integraldisplay B A E · ds V = k e q r V = integraldisplay k e dq r U = k e q 1 q 2 r C Q Δ V = ǫ 0 A d = A 4 πk e d U = Q 2 2 C C - 1 series = C - 1 1 + C - 1 2 + C - 1 3 + · · · C parallel = C 1 + C 2 + C 3 + · · · R - 1 parallel = R - 1 1 + R - 1 2 + R - 1 3 + · · · R series = R 1 + R 2 + R 3 + · · · J = I Area = nqv d = σE resistivity ρ = 1 σ = RA V = IR , P = V I I ( t ) = I 0 e - t/τ or I ( t ) = I f (1 - e - t/τ ) τ = RC or τ = L/R F B = q v × B F B = integraldisplay I ds × B τ (loop) = I A × B = vectorμ × B d B = μ 0 4 π I ds × ˆ r r
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