Question

In an oscillating LC circuit, L = 3.03 mH and C = 3.26 uF. At t = 0 the charge on the capacitor is zero and the current is 2.70 A. (a) What is the maximum charge that will appear on the capacitor? (b) At what earliest time t>O is the rate at which energy is stored in the capacitor greatest, and (c) what is that greatest rate? (a) Number Units (b) Number Units (c) Number Units

Answer 1

solution, L = 3.03 mH L = 3:03x10²H 2 c = 3.26 ef 3.26 x 10 4 at t-o I = 2.70 A charge on the capacitor * Sinwt Qo-intial charge 9 current 1 I = wQo. Cobwt at To get maximum change I = W Qo ; I I She 2.70 13.26 x 100 x 3.038 10 3 2.70 98.778 Xiomie 2.683x10-4 c O 2 energy stored, U = 20 change - rate, 2 du d (Qo Sin? wt) at at du 2 o w Sin 2 wt for greatest rate, Sin aut = 1 , 2 wt = π Nowa t = TLC 7.80X10-5 S S 4

20 o from previous case, du 2 Q. at TC Since T 2 Qo'w Qo elie oc 271 SLC (2.68 4 8 10 -4 )? 2. 98.77 xlovo x 3.26x10-6 2 du at du at 110.8 JIS or Watt