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Final.Exam.Fall08soln

# Final.Exam.Fall08soln - Physics 423 Final 2008 course ave...

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Physics 423 Final 2008 Name ____ Key _______ cover p _ 1 .................... 1. ________ (60 points) course ave ______ 2. ________ (40 points) course grade ______ . ________________ total . ________ ( / 150 points) __________________________________________________________________________________ D ( r , t ) = 4 k 1 o 0 ( r , t ) D ( r )= E ( r ) [ D 1 ( r , t ) − D 2 ( r , t )] n = ( r , t ) B ( r , t ) = 0 [ B 1 ( r , t ) − B 2 ( r , t )] n = 0 ∇ × E ( r , t ) = − k 3 B ( r , t ) t n ×( E 1 ( r , t ) − E 2 ( r , t )) = 0 ∇ × H ( r , t ) = k 2 k 1 o o D ( r , t ) t + 4 k 2 o J 0 ( r , t ) n × ( H 1 ( r , t ) − H 2 ( r , t )) = ( r , t ) J ( r , t ) + ( r , t ) t = 0; F = q [ E + k 3 v × B ] ; ( r ) = 1 4  o ∫∫∫ V ( r ) | r r | d 3 x + o ( g ( x )) = i i ( x x i ) | dg dx | x = x i k k ( ) = 1 ( 2 ) 4 ∫∫∫∫ all space, time e i [ r k k −( ) t ] d 3 rdt df = d r f ( r ) D ( r )= E ( r ) . ∫∫∫ contains r f ( r ) ( 3 ) ( r r ) dx dy dz = f ( r ) system k 1 k 2 k 3 q B esu (Electrostatic) 1 1 c 2 1 1 statcoul. emu (Electromag.) c 2 1 1 1 statcoul. Gaussian 1 1 c 2 c 1 c statcoul. gauss (G) Heaviside-Lorentz 1 4 1 4 c 2 c 1 c statcoul SI (MKSA) 1 4  o o 4 1 1 Coulomb (C) tesla SI (MKSA) 10 7 c 2 10 7 1 1 quantity Ampere dq dt Coul . s 1 V / ohm = V / o = 10 7 4 c 2 8.854 187 10 12 Farad / m (SI) o = 4 10 7 1.256 637 10 6 Henry / m o o 376.730 ohms ( ) 376.730 10 5 / c 2 1.0546 10 34 Js 6.582 10 16 eVs e 1.602 10 19 Coulomb 4.80 10 16 statcoul ( esu , Gaussian ) e 2 4  o c

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Final.Exam.Fall08soln - Physics 423 Final 2008 course ave...

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