HW-17Solutions-03-12-08

# HW-17Solutions-03-12-08 - Lehigh University HW-17 Solutions...

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1 Lehigh University Physics 21, Spring 2008 March 12, 2008 HW-17 Solutions 17-1. (HRW 31-1) In a certain oscillating LC circuit, the total energy is converted from electrical energy in the capacitor to magnetic energy in the inductor in 1.50 μ s. What are (a) the period of oscillation and (b) the frequency of oscillation? (c) How long after the magnetic energy is a maximum will it be a maximum again? Solution: 1. (a) The period is T = 4(1.50 μ s) = 6.00 μ s. (b) The frequency is the reciprocal of the period: f T = = = × 1 1 6 00 167 10 5 . . μ s Hz. (c) The magnetic energy does not depend on the direction of the current (since U B i 2 ), so this will occur after one-half of a period, or 3.00 μ s. 17-2. (HRW 31-11) In Fig. 31-28 , , , and , and the ideal battery has emf . The switch is kept in position a for a long time and then thrown to position b. What are the (a) frequency and (b) current amplitude of the resulting oscillations? Figure 31-28 Solution: 11. (a) After the switch is thrown to position b the circuit is an LC circuit. The angular frequency of oscillation is ω = 1/ LC . Consequently,

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