Assignment4 - meter length. The loop lies in the z=0 plane...

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EC 501 Assignment 4 (Time varying fields and Maxwells' equations) 1. Given the time-varying magnetic field B = (0.5 â x + 0.6 â y - 0.3 â z ) cos 5000 t (T) and a square filamentary loop with its corners at (2,3,0) , (2,-3,0) ,(- 2,3,0) and (-2,-3,0), find the time-varying current flowing in the general â φ direction if the total loop resistance is 400 k . 2. The location of the sliding bar in Figure below is given by x=5 t + 2 t 3 and the separation of the two rails is 20cm. Let B = 0.8x 2 â z T. Find the voltmeter reading at: (a) t = 0.4 s; (b) x = 0.6 m. 3. A square filamentary loop of wire is 25 cm on a side and has a resistance of 125 per
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Unformatted text preview: meter length. The loop lies in the z=0 plane with its corners at (0,0,0) , (0.25,0,0) , (0.25,0.25,0), and (0,0.25,0) at t =0. The loop is moving with a velocity v y = 50 m/s in the field B z = 8 cos (1.5 10 8 t 0.5x) T. Develop a function of time which expresses the ohmic power being delivered to the loop. 4. Let = 3 10-5 H/m, = 1.2 10-10 F/m, and = 0 everywhere. If H = 2 cos(10 10 t- x) z A/m, use Maxwells equations to obtain expression for B , D , E , and . 5. Given the fields V = 80z cos x cos 3 10 8 t kV and A = 26.7z sin x sin 3 10 8 t x mWb/m in free space, find E and H ....
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