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912_Physics ProblemsTechnical Physics

912_Physics ProblemsTechnical Physics - 252 P32.53...

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252 Inductance P32.53 ω = = × = × 1 1 3 30 840 10 1 899 10 12 4 LC . . H F rad s a f e j Q Q t = max cos ω , I dQ dt Q t = = − ω ω max sin (a) U Q C C = = × × × × = 2 6 4 3 2 12 2 105 10 1 899 10 2 00 10 2 840 10 6 03 cos . . . rad s s J e je j e j e j (b) U LI L Q t Q t C L = = = 1 2 1 2 2 2 2 2 2 2 2 ω ω ω max max sin sin b g b g U L = × × × × = 105 10 1 899 10 2 00 10 2 840 10 0 529 6 2 2 4 3 12 C rad s s F J e j e je j e j sin . . . (c) U U U C L total J = + = 6 56 . Section 32.6 The RLC Circuit P32.54 (a) ω d LC R L = F H G I K J = × × × F H G G I K J J = × 1 2 1 2 20 10 1 80 10 7 60 2 2 20 10 1 58 10 2 3 6 3 2 4 . . . . . e je j e j rad s Therefore, f d d = = ω π 2 2 51 . kHz . (b) R L C c = = 4 69 9 . P32.55 (a) ω 0 6 1 1 0 500 0 100 10 4 47 = = × = LC . . . a f e j krad s (b) ω d LC R L = F H G I K J = 1 2 4 36 2 . krad s (c)
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