A circuit is constructed with two capacitors and an inductor as shown. The value

Question

A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 = 300 %u03BCF and C2 = 315 %u03BCF. The inductance is L = 354 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 74 mA and it has the direction shown.

What is Q1(t1), the charge on the capacitor C1 at time t = t1 = 27 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1.

What is Q1,max, the magnitude of the maximum charge on capacitor C1?

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Explanation / Answer

2.For finding voltage use V=1/C1 (undefined) idt where i is given by Icos(Wt) where W is resonant frequency.Keep t=27 ms3.For inductor use V=Ldi/dt where i=Icos(Wt).Substitute t.

2.Charge on capacitor is max means dq/dt=0 which means i=0 which is possible at pi/2W

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