eqs(2) - r B Biot-Savart Rule r B = o 4 Id r s r r 2...

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Laws, Principles, Useful Relationships, and Other Information Coulomb's Rule r F e = k q 1 q 2 2 r ˆ r Def'n of E-Field r E r F q E-Field Due to a Point Charge r E = k q 2 r ˆ r Electric Potential V = - r E d r s Def'n of Potential U q V Potential of a Charge V = k q r Def'n of Capacitance C Q V Capacitance of Parallel Plates C = ε o A d Energy in Capacitors U = 1 2 Q 2 C = 1 2 C V 2 Energy in E-Fields u U vol = 1 2 ε o E 2 Capacitors in Series 1 C s = 1 C i Capacitors in Parallel C p = C i Def'n of Current I dQ dt Def'n of Current Density j I A Def'n of Resistance R = ρ l A Ohm's Rule V = IR Electric Power P = IV = V 2 R = I 2 R Resistors in Series R s = R i Resistors in Parallel 1 R p = 1 R i RC Charge q = CV 1 - e - t RC RC Discharge q = CV o e - t RC Force Between Wires F m = μ o 2 π I 1 I 2 r l Def'n of B-Field r F I r l × r B Force on a Charge r F = q r υ× r B B-Field of a Wire B = μ o I 2 π r Def’n of Electric Dipole Moment r p q r d Def'n of Magnetic Dipole Moment r μ≡ I r A Torque on a Dipole r τ= r p × r E or r τ= r μ× r B Potential Energy of a Dipole U = - r p r E or U = - r μ•
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Unformatted text preview: r B Biot-Savart Rule r B = o 4 Id r s r r 2 Magnetic Moment of a Charge r = q 2m r L Def'n of Flux B r B d r A or E r E d r A Gauss's Law for Electricity r E d r A = q o Faraday's Law r E d r s = -d B dt Gauss's Law for Magnetism r B d r A = Ampere's Law r B d r s = o dq dt + o o d e dt The Def'n of Inductance -L dI dt Energy in Inductors U L = 1 2 LI 2 LR "charging" I = I o 1-e-R L t LR "discharging" I = I o e-R L t Energy Density in a B-Field u m = B 2 2 o Physical Constants k = 8.99x10 9 N m 2 C 2 o = 8.85x10-12 C 2 N m 2 e = 1.60x10-19 C m e =9.11x10-31 kg o = 4 x10-7 T m A Areas and Volumes sphere: A = 4 r 2 V = 4 3 r 3 cylinder: A = 2 r l + 2 r 2 V = r 2 l...
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