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Phy 102 Sample Test 2 Formulae Sheet 2005

Phy 102 Sample Test 2 Formulae Sheet 2005 - Dr Huerta Phy...

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Dr. Huerta Phy 102 Sample Test 2 Spring 2005 Spring Semester 2005, Sections S and T FORMULAE SHEET Vectors: Unit vectors: x-axis: ˆ x ˆ i , y-axis: ˆ y ˆ j A · B = | A || B | cos θ = | A | B A = | B | A B , | A × B | = | A || B | sin θ , | A | = A 2 x + A 2 y , direction of A × B is perpendicular to both vectors by right hand rule. Electric Fields: e = 1 . 6 × 10 - 19 C, m e = 9 . 1 × 10 - 31 kg, m p = 1 . 67 × 10 - 27 kg, k = 1 4 π 0 = 9 × 10 9 N · m 2 C 2 . E = kQ r 2 , F q = qE, V = kQ r , | E | = | Δ V Δ s | , Δ V = - E · Δ r, E = σ 2 0 for a sheet of charge . U q = qV, KE = 1 2 mv 2 . Electric Field Flux through an area A with unit normal ˆ n : Φ A = E · ˆ n A Gauss’ law for Electric Field Total outward Electric Field flux through a closed surface: Φ closed surface = q inside 0 Potential Energy and Torque for an Electric Dipole: U = - p · E , τ = p × E . Capacitance: Q = CV, C = κ 0 A d , U = 1 2 CV 2 = Q 2 2 C u E = 1 2 0 E 2 . Circuits: i = Δ q Δ t , V = iR, R = ρ L A , P = V i, P R = i 2 R resistors in series: R S = R 1 + R 2 , resistors in parallel: 1 R P = 1 R 1 + 1 R 2 In a charging capacitor q ( t ) = C E (1 - e - t/RC ) , with lim t →∞ q ( t ) = C E , and lim t 0 q ( t ) = 0 , also i ( t ) = E R e - t/RC, with lim t →∞ i ( t ) = 0 , and lim t 0 i ( t ) = E R. Forces in Magnetic Fields: F = qv × B, F = I × B, centripetal acceleration = v 2 r magnetic dipole U = - m · E τ = m B × B, with m B = NIA ˆ n Sources of Magnetic Fields: μ 0 = 4 π × - 7 T · m/A field of long wire B = μ 0 I 2 πr , field at center of loop B = 0 I 2 R , field inside of long solenoid B = μ 0 NI l . Ampere’s Law: Σ loop B || Δ = μ 0 I inside . Physics 102 Sample Test 2 Spring 2005

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Dr. Huerta Phy 102 Sample Test 2 Spring 2005 Gauss’ Law for Magnetic Field Total outward Magnetic Field flux through a closed surface: Φ closed surface = 0 always Induced Emf : Φ = B · ˆ n = BA cos θ, E = - ΔΦ Δ t , E = B v , E =
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Phy 102 Sample Test 2 Formulae Sheet 2005 - Dr Huerta Phy...

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