Question

A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 = 426 uF and C2 = 232 pF. The inductance is L = 257 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 139 mA and it has the direction shown. La "What is wo, the resonant frequency of this circuit? 160.95 radians/s Submit 21 What is Q1(t1), the charge on the capacitor C1 at time t = t4 = 22.8 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = ty. -5.78*10^-4 Sunt What is Voc(t1)= Vb - V, the voltage across the inductor at time t, 22.8 ms? Note that this voltage is a signed number. V Submit "What is Q1, max, the magnitude of the maximum charge on capacitor CT? C Submit 5 At time t = tz, the magnitude of the current through the inductor has its maximum value. What are the magnitudes of Qy, the charge on capacitor C1, and VL, the voltage across the inductor at this time? Q1 = Qmax and VL = Vmax O Q1 = 0 and VL = Vmax Q1 = Qmax and VL = 0 Q1 = 0 and VL = 0 Submit

Answer 1

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curent is 2 139 mA -frae -i. Cos -0 At t- i- i So -io cos/wst So wo 139 (1o.95t CCs 160.95 9 = O. 863( Cos s4.091) t t, = At 22-&m Sec -3 160.95x22-& X10 -O.863C Cen

7. 46x10-9 C fostive here is to b i 10 latt plate +ve So posihve i's ve Vob 7.46x10 1 So 1t Ces Vbc -3 -3 2 S7 X1o x 139 X10 Ccs (160.95x 22 8 X10 -2 3.08 Xl0 Vbc Volt

4 139 160.95 Oimex i - when max w.t So Cos 9y=o So di -L9i dt VL So and Vo (o) 0, 0