A 15,000 muF capacitor, labeled as C below, is charged to 175.0 mu C and is conn

Question

A 15,000 muF capacitor, labeled as C below, is charged to 175.0 mu C and is connected across the ends of a 5.00 mH inductor labeled 1. The diagram below shown the system just after the fully charged capacitor C is connected to inductor L. The current I just begins to flow clockwise, reducing the charge Q on the right plate. What is the angular frequency omega of the charge oscillations in the capacitor after the above connection is made? Find the maximum current IMAX . What is the value of charge Q on thr right plate whaen the current reaches the maximum value IMAX ?

Explanation / Answer

w=1/LC

w=1/(15e-6)(5e-3)

w=3651.48 rad/s

I= -wQsin(wt)

for I=Imax

sin(wt)=-1 or wt=-/2

so

Imax= wQ

Imax=3651.48 x 175 e-6

Imax=.639 A

Q at Imax:

Q=Qo cos(wt=-/2)

Q=0

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