quiz6 - PHYSICS 2B PROF HIRSCH Formulas QUIZ 6 WINTER...

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PHYSICS 2B QUIZ 6 WINTER QUARTER 2010 PROF. HIRSCH MARCH 1, 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 " = r p # r E Linear, surface, volume charge density : dq = ! ds , dq = " dA , dq = # dV Electric field of infinite: line of charge : E = 2 k " r ; sheet of charge : E = 2 # k $ = $ /(2 % 0 ) Gauss law : " = r E # d r A = q enc $ 0 % ; " = electric flux ; k = 1 4 &$ 0 ; $ 0 = 8.85 10 ( 12 C 2 / Nm 2 U B " U A = # U AB = " W AB = - r F $ dl = - % A B & qE % A B & $ dl % = q # V AB = q ( V B " V A ) V=N/C V = kq r ; V = kdq r " ; V = kp cos # 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 = " C 0 ; # 0 = 8.85 pF / m C = " 0 A d parallel plates ; C = 2 #" 0 L ln( b / a ) cylindrical ; C = 4 #" 0 ab b $ a spherical Energy stored in capacitor : U = Q 2 2 C = 1 2 QV = 1 2 CV 2 ; U = dv " u E ; u E = 1 2 # 0 E 2 Capacitors in parallel: C = C 1 + C 2 ; in series: C = C 1 C 2 /( C 1 + C 2 ) Elementary charge: e =1.6 " 10 -19 C I = dq dt = r J " d r A # ; r J = ne r v d ; v d = eE $ m ; % = m ne 2 $ ; R = % l A ; r E = % r J , r J = & r E V = IR ; P = VI = I 2 R = V 2 / R ; P emf = " I ; R eq = R 1 + R 2 (series) ; R eq # 1 = R 1 # 1 + R 2 # 1 (parallel)
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