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quiz4 - PHYSICS 2B PROF HIRSCH Formulas QUIZ 4 WINTER...

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PHYSICS 2B QUIZ 4 WINTER QUARTER 2010 PROF. HIRSCH FEBRUARY 8, 2010 Formulas: sin30 o = cos60 o = 1/ 2, cos30 o = sin60 o = 3 / 2, sin 45 o = cos 45 o = 2 / 2 F = k q 1 q 2 r 2 Coulomb's law ; k = 9 × 10 9 N m 2 /C 2 ; r F 12 = kq 1 q 2 | r r 2 r r 1 | 3 ( r r 2 r r 1 ) Electric field due to charge q at distance r : r E = kq r 2 ˆ r ; Force on charge Q: r F = Q r E Electric field of dipole: along dipole axis / perpendicular: E = 2 kp x 3 / E = kp y 3 (p=qd) Energy of and torque on dipole in E-field: U = r p r E , r τ = r p × r E Linear, surface, volume charge density : dq = λ ds , dq = σ dA , dq = ρ dV Electric field of infinite: line of charge : E = 2 k λ r ; sheet of charge : E = 2 π k σ = σ /(2 ε 0 ) Gauss law : Φ = r E d r A = q enc ε 0 ; Φ = electric flux ; k = 1 4 πε 0 ; ε 0 = 8.85 × 10 12 C 2 / Nm 2 U B U A = Δ U AB = W AB = - r F dl = - A B qE A B dl = q Δ V AB = q ( V B V A ) V=N/C V = kq r ; V = kdq r ; V = kp cos θ r 2 (dipole) ; E l = V l ; r E = - r V Electrostatic energy: U = k q 1 q 2 r ; Capacitors : Q = CV ; with dielectric : C = κ C 0 ; ε 0 = 8.85 pF / m C = ε 0 A d parallel plates ; C = 2 πε 0 L ln( b
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