This preview shows page 1. Sign up to view the full content.
Unformatted text preview: r L C i 2 cos 2 ( t )sin 2 ( t ) Setting this equal to zero and solving for t gives tan( t ) = 1 t = 1 4 = 4 LC Part c For the nal part of this question, we simply need to plug our time into our equation for dU dt . dU dt max = r L C i 2 cos 4 sin 4 = 1 2 r L C i 2 Problem 31.26 A singleloop circuit consists of a 7 . 2 resistor, a 12 H inductor, and a 3 . 2 F capacitor. Initially the capacitor has a charge of 6 . 2 C 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( t ) 50...
View Full
Document
 Spring '08
 Any
 Physics, Charge

Click to edit the document details