quiz5 - PHYSICS 2B QUIZ 5 WINTER QUARTER 2010 PROF HIRSCH...

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Unformatted text preview: PHYSICS 2B QUIZ 5 WINTER QUARTER 2010 PROF. HIRSCH FEBRUARY 22, 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 % ) Gauss law : " = r E # d r A = q enc $ % ; " =electric flux ; k = 1 4 &$ ; $ = 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 ; # = 8.85 pF / m C = " A d parallel plates ; C = 2 #" L ln( b / a ) cylindrical ; C = 4 #" 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 # E 2 Capacitors in parallel: C = C 1 + C 2 ; in series: C = C 1 C 2 /( C 1 + C 2 ) Elementary charge:...
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quiz5 - PHYSICS 2B QUIZ 5 WINTER QUARTER 2010 PROF HIRSCH...

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