1e3formula - Physics 1E03 Constants and Formulæ: Earth’s...

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Unformatted text preview: Physics 1E03 Constants and Formulæ: Earth’s gravitational field: g = 9.81m/s2 permittivity of vacuum: ǫ0 = 8.85 × 10−12 C2 · N−1 · m−2 Coulomb’s Law constant: ke = 1/4πǫ0 = 8.99 × 109 N · m2/C2 permeability of vacuum: µ0 = 4π × 10−7 T · m/A speed of light: c = 2.998 × 108 m/s electronic charge: e = 1.602 × 10−19 C electron mass: me = 9.11 × 10−31 kg proton mass: mp = 1.67 × 10−27 kg vx = v0x + ax t x = x0 + v0x t + 1 ax t2 2 v2 r 1 K = 2 mv 2 ar = ke q1 q2 ˆ r F= r2 F = q0 E ke q E= 2 ˆ r r σ = 2πke σ infinite plane: |E| = 2ǫ0 ΦE ≡ E · dA ΦB ≡ B · dA V = IR, P =VI −t/τ I (t) = I0 e or I (t) = If (1 − e−t/τ ) τ = RC or τ = L/R FB = q v × B FB = I ds × B τ (loop) = I A × B = µ × B µ0 I ds × ˆ r dB = 2 4π r µ0 I straight wire: B = 2πr N solenoid: B = µ0 I ℓ B · ds = µ0 Ienc dΦB , E = Bℓv dt L ≡ N ΦB /I dI E = −L dt U = 1 LI 2 2 2π , k = 2π/λ ω = 2πf = T y = A sin(kx ± ωt − φ) ω v = fλ = k E =− v= FT /µ ∆r λ d sin θ = mλ , a sin θ = mλ , θ ≈ 1.22λ/D a−b a+b sin a + sin b = 2 cos( ) sin( ) 2 2 a+b a−b ) cos( ) cos a + cos b = 2 cos( 2 2 4 sphere: A = 4πr 2 , V = 3 πr 3 cylinder: A = 2πr 2 + 2πrL, V = πr 2 L Qenclosed ΦE = = 4πke Qenclosed ǫ0 σ = 4πke σ conductor: |E| = ǫ0 B ∆U =− E · ds q0 A ke q V= r ke dq V= r q1 q2 U = ke r Q A A C≡ = ǫ0 = ∆V d 4πke d 2 Q U= 2C −1 − − − Cseries = C1 1 + C2 1 + C3 1 + · · · Cparallel = C1 + C2 + C3 + · · · ∆V = ∆φ = 2π − − − −1 Rparallel = R1 1 + R2 1 + R3 1 + · · · Rseries = R1 + R2 + R3 + · · · I = nqvd = σE J= Area RA 1 resistivity ρ = = σ ℓ THE END ...
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This note was uploaded on 03/16/2011 for the course PHYSIC 1e03 taught by Professor Dr.oak during the Spring '10 term at McMaster University.

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