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Unformatted text preview: J = E , Gausss law E = o and the continuity equation t + J = 0 can be used together to derive a dierential equation t + o = 0 for the charge density . b) ind the solution of the dierential equation above for t > if at t = 0 the charge density is ( x, y, z, 0) = cos(100 x ) C/m 3 over all space. c) According to the solution found in part (b), how long would it take for to reduce to . 01 cos(100 x ) C/m 3 ? Assume that = 5 . 8 10 7 S/m. 4. If E = cos( t-z ) x V m , = c , and = o , nd the corresponding H by using aradays law E =- B t . 5. If H = cos( t + z ) y A m , = 0 , = 2 3 c and = 2 . 25 o , nd the corresponding E by using Amperes law H = J + D t in which J = E and D = E . 1...
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- Summer '08