The next six questions pertain to the situation described below. A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C = 112 µF and C2 = 271 µF. The inductance is L = 303 mH. At time t =0, the current through the inductor has its maximum value I (0) = 104 mA and it has the direction shown. a b C, C2 1) What is oo, the resonant frequency of this circuit? radians/s 2) What is Q1(t), the charge on the capacitor C1 at time t=t = 18 ms? The sign of Q1 is defined to be the sameas the sign of the potential difference Vah = Va - Vh at time t = tj. C 3) What is Vhe(t)= Vh - Ve, the voltage across the inductor at time t = 18 ms? Note that this voltage is a signed number. V 000

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The next six questions pertain to the situation described below.
A circuit is constructed with two capacitors and an inductor as shown. The values for
the capacitors are: C = 112 µF and C2 = 271 µF. The inductance is L = 303 mH. At
a
b
time t =0, the current through the inductor has its maximum value Ij (0) = 104 mA and
it has the direction shown.
C2
1) What is wo, the resonant frequency of this circuit?
radians/s
2) What is Q1(t1), the charge on the capacitor C1 at time t= t = 18 ms? The sign of Q, is defined to be the
sameas the sign of the potential difference Vab = Va - Vb at time t = t1.
C
3) What is Vhe(t)= Vh - Ve, the voltage across the inductor at time t
= 18 ms? Note that this voltage is a signed
number.
V
4) What is Q1.max, the magnitude of the maximum charge on capacitor C1?
5) At time t= t2, the magnitude of the current through the inductor has its maximum value. What are the
magnitudes of Qj, the charge on capacitor C1, and VL, the voltage across the inductor at this time?
Qmax and VI = V,
b. Q1 = 0 and VL = Vm
а. Q
max
max
c. Q = Qmax and V = 0
d. Q = 0 and V = 0
Transcribed Image Text:The next six questions pertain to the situation described below. A circuit is constructed with two capacitors and an inductor as shown. The values for the capacitors are: C = 112 µF and C2 = 271 µF. The inductance is L = 303 mH. At a b time t =0, the current through the inductor has its maximum value Ij (0) = 104 mA and it has the direction shown. C2 1) What is wo, the resonant frequency of this circuit? radians/s 2) What is Q1(t1), the charge on the capacitor C1 at time t= t = 18 ms? The sign of Q, is defined to be the sameas the sign of the potential difference Vab = Va - Vb at time t = t1. C 3) What is Vhe(t)= Vh - Ve, the voltage across the inductor at time t = 18 ms? Note that this voltage is a signed number. V 4) What is Q1.max, the magnitude of the maximum charge on capacitor C1? 5) At time t= t2, the magnitude of the current through the inductor has its maximum value. What are the magnitudes of Qj, the charge on capacitor C1, and VL, the voltage across the inductor at this time? Qmax and VI = V, b. Q1 = 0 and VL = Vm а. Q max max c. Q = Qmax and V = 0 d. Q = 0 and V = 0
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