ch31-p019 - 19. (a) The total energy U is the sum of the...

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19. (a) The total energy U is the sum of the energies in the inductor and capacitor: () ( ) ( ) 22 63 3 6 6 3.80 10 C 9.20 10 A 25.0 10 H 1.98 10 J. 2 2 7.80 10 F EB qi L UU U C −− ×× × =+= + = + = × × (b) We solve U = Q 2 /2 C for the maximum charge: QC U == × × = × 2 2 7 80 10 198 10 556 10 66 6 .. . FJ C . ch c h (c) From U = I 2 L /2, we find the maximum current: I U L × × 2 2 198 10 250 10 126 10 6 3 2 . . . J H A. c h (d) If q 0 is the charge on the capacitor at time t = 0, then q 0 = Q cos φ and = F H G I K J = × × F H G I K J ° cos cos . . 11 6 6 380 10 556 10 46 9 q Q C C For = +46.9° the charge on the capacitor is decreasing, for
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