Unformatted text preview: r L C i 2 ³ cos 2 ( ωt )sin 2 ( ωt ) ´ Setting this equal to zero and solving for t gives tan( ωt ) = 1 ⇒ t = 1 ω π 4 = π 4 √ LC Part c For the ﬁnal part of this question, we simply need to plug our time into our equation for dU dt . ± dU dt ² max = r L C i 2 cos µ π 4 ¶ sin µ π 4 ¶ = 1 2 r L C i 2 Problem 31.26 A singleloop circuit consists of a 7 . 2Ω resistor, a 12 H inductor, and a 3 . 2 μF capacitor. Initially the capacitor has a charge of 6 . 2 μC and the current is zero. Calculate the charge on the capacitor N complete cycles later for (a) N = 5, (b) N = 10, and (c) N = 100. We showed earlier in this chapter that the charge on the capacitor in an RLC circuit has a cosine oscillation which is exponentially damped. q ( t ) = q eRt 2 L cos( ω t ) 50...
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This note was uploaded on 12/05/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Charge

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