Exam3_EquationSheet

Exam3_EquationSheet - Physics 8.02 Force Laws: dF = I d s B...

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Unformatted text preview: Physics 8.02 Force Laws: dF = I d s B ext F = q (Eext + v B ext ) Exam Three: Equation Sheet Inductance: L = N B / I U L = 1 LI 2 2 back = - LdI / dt Current: I = J da Source equations: 1 dq ^ dE = r 4 o r 2 ^ I ds r dB = o 4 r 2 Energy Stored in Fields: u E = 1 0 E 2 ; u B = 1 B 2 / 0 2 2 Capacitors in Parallel: Ceq = C1 + C2 + Capacitors in Series: Resistors in Parallel: 1 1 1 = + + Ceq C1 C2 1 1 1 = + + Req R1 R2 Maxwell's Equations: E da = Qinside Resistors in Series: Req = R1 + R2 + Joule Heating: PJoule = I V = I 2 R = V 2 / R o d B da = 0 E dr = - dt B da B dr = o I enc + o 0 d E da dt 0 = 1/ LC ; AC Circuits: X L = L ; X C = 1/ C ; X R = R Series RLC : Z = R2 + X 2 = R2 + ( X L - X c ) 2 Electromotive Force: = E + v B dr ( ) ; Electric Potential Difference: Va to b = Vb - Va = - E dr a b tan = ( X L - X C ) / R ; V0 = I 0 Z qi V = i =1 4 o r - ri Capacitance: C = Q / V N Some potentially useful numbers: o = 4 10-7 T m A -1 1 ke = = 9 109 N m 2 C-2 4 0 U C = 1 Q 2 / C = 1 C (V ) 2 2 2 Ohm's Law: V = I R J = c E where c is the conductivity E = r J where r is the resistivity c = 3 108 m s -1 e = 1.6 10-19 C ...
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