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942_Physics ProblemsTechnical Physics

# 942_Physics ProblemsTechnical Physics - Chapter 33 283(only...

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Chapter 33 283 (only the positive root is physical.) Now equation (3) gives X C C = × = = 2 131 10 99 6 106 7 1 4 2 1 2 . . . a f ω (only the positive root is physical.) C X C C = = = × = ω b g b g 1 1 5 377 106 7 2 49 10 s F . . . Now equation (1) gives X X X L L X L L C L L = ± × = ± = + = = = = = 1 194 10 99 6 44 99 106 7 44 99 61 74 0 164 4 2 1 2 . . . . . . . a f or 151.7 H or 0.402 H ω ω P33.59 The resistance of the circuit is R V I = = = 12 0 19 0 . . V 0.630 A . The impedance of the circuit is Z V I = = = rms rms V 0.570 A 24 0 42 1 . . . Z R L L Z R 2 2 2 2 2 2 2 2 1 1 377 42 1 19 0 99 6 = + = = = ω ω . . . a f a f mH *P33.60 The lowest-frequency standing-wave state is NAN. The distance between the clamps we represent as L d = = NN λ 2 . The speed of transverse waves on the string is v f T f L = = = λ µ 2 . The magnetic force on the wire oscillates at 60 Hz, so the wire will oscillate in resonance at 60 Hz. T L 0 019 60 4 2 2 . kg m s = b g T L = 274 2 kg ms 2 e j Any values of T and L related according to this expression will work, including
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