p33_007 - x max = 175 10 6 m. (d) The maximum speed v max...

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7. (a) The mass m corresponds to the inductance, so m =1 . 25 kg. (b) The spring constant k corresponds to the reciprocal of the capacitance. Since the total energy is given by U = Q 2 / 2 C ,where Q is the maximum charge on the capacitor and C is the capacitance, C = Q 2 2 U = ( 175 × 10 6 C ) 2 2(5 . 70 × 10 6 J) =2 . 69 × 10 3 F and k = 1 2 . 69 × 10 3 m / N = 372 N / m . (c) The maximum displacement corresponds to the maximum charge, so
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Unformatted text preview: x max = 175 10 6 m. (d) The maximum speed v max corresponds to the maximum current. The maximum current is I = Q = Q LC = 175 10 6 C p (1 . 25 H)(2 . 69 10 3 F) = 3 . 02 10 3 A . Consequently, v max = 3 . 02 10 3 m / s....
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