Quiz4 - PHYSICS 2B PROF HIRSCH Formulas QUIZ 4 WINTER QUARTER 2010 FEBRUARY 8 2010 sin 30 o = cos 60o = 1 2 cos30o = sin60 o = 3 2 sin 45o = cos

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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 r ; sheet of charge: E = 2 π k = /(2 ε 0 ) Gauss law : Φ = r E d r A = q enc 0 ; Φ =electric flux ; k = 1 4 πε 0 ; 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 ; 0 = 8.85 pF / m C = 0 A d parallel plates ; C = 2 0 L
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This note was uploaded on 03/03/2010 for the course PHYS 2b taught by Professor Schuller during the Winter '08 term at UCSD.

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Quiz4 - PHYSICS 2B PROF HIRSCH Formulas QUIZ 4 WINTER QUARTER 2010 FEBRUARY 8 2010 sin 30 o = cos 60o = 1 2 cos30o = sin60 o = 3 2 sin 45o = cos

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