A circuit is constructed with two capacitors and an inductor as shown. The value
ID: 1325197 • Letter: A
Question
A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 = 508 ?F and C2 = 399 ?F. The inductance is L = 254 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 94 mA and it has the direction shown.
1)What is ?o, the resonant frequency of this circuit?
2)What is Q1(t1), the charge on the capacitor C1 at time t = t1 = 27.6 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1.
3)What is Vbc(t1)= Vb - Vc, the voltage across the inductor at time t1 = 27.6 ms? Note that this voltage is a signed number.
4)What is Q1,max, the magnitude of the maximum charge on capacitor C1?
A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C1 = 508 ?F and C2 = 399 ?F. The inductance is L = 254 mH. At time t =0, the current through the inductor has its maximum value IL(0) = 94 mA and it has the direction shown. 1)What is ?o, the resonant frequency of this circuit? 2)What is Q1(t1), the charge on the capacitor C1 at time t = t1 = 27.6 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1. 3)What is Vbc(t1)= Vb - Vc, the voltage across the inductor at time t1 = 27.6 ms? Note that this voltage is a signed number. 4)What is Q1,max, the magnitude of the maximum charge on capacitor C1?Explanation / Answer
capacitance in parllel
=C1+c2
=508+399
=907uF
1)?o = 1/?(LC)
=1/underroot(254*10^-3*907*10^-6)
=1/0.015
=66.6rad/sec
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