A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 299 Q. The values for the inductances are: L1 = 208 mH and L2 = 181 mH. The capacitance is C = 97 µF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. V ell 1) The switch has been closed for a long time when at time t = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? 1.664*10^(-4) J Submit 2) What is wo, the resonant frequency of the circuit just after the switch is opened? 162.79 radians/s Submit 3) What is Qmax the magnitude of the maximum charge on the capacitor after the switch is opened? 245.7 µC Submit 4) What is Q(t,), the charge on the capacitor at time t = t1 = 3.13 ms. Q(tj) is defined to be positive if V(a) – V(b) is positive. uC Submit 5) What is t2, the first time after the switch is opened that the energy stored in the capacitor is a maximum? ms Submit 6) What is the total energy stored in the inductors plus the capacitor at time t = t2? Submit

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A circuit is constructed with a resistor, two
inductors, one capacitor, one battery and a
switch as shown. The value of the resistance is
R1 = 299 Q. The values for the inductances are:
L1 = 208 mH and L2 = 181 mH. The capacitance
is C = 97 µF and the battery voltage is V = 12 V.
The positive terminal of the battery is indicated
with a + sign.
L2
b
1) The switch has been closed for a long time when at timet = 0, the
switch is opened. What is UL1(0), the magnitude of the energy stored in
inductor L1 just after the switch is opened?
1.664*10^(-4)
J Submit
2) What is wo, the resonant frequency of
opened?
circuit just after the switch is
162.79
radians/s Submit
3) What is Qmax, the magnitude of the maximum charge on the capacitor
after the switch is opened?
245.7
µC Submit
4) What is Q(t,), the charge on the capacitor at time t = t, = 3.13 ms. Q(tj)
is defined to be positive if V(a) – V(b) is positive.
µC Submit
5) What is t2, the first time after the switch is opened that the energy
stored in the capacitor is a maximum?
ms Submit
6) What is the total energy stored in the inductors plus the capacitor at
time t = t2?
J Submit
Transcribed Image Text:A circuit is constructed with a resistor, two inductors, one capacitor, one battery and a switch as shown. The value of the resistance is R1 = 299 Q. The values for the inductances are: L1 = 208 mH and L2 = 181 mH. The capacitance is C = 97 µF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. L2 b 1) The switch has been closed for a long time when at timet = 0, the switch is opened. What is UL1(0), the magnitude of the energy stored in inductor L1 just after the switch is opened? 1.664*10^(-4) J Submit 2) What is wo, the resonant frequency of opened? circuit just after the switch is 162.79 radians/s Submit 3) What is Qmax, the magnitude of the maximum charge on the capacitor after the switch is opened? 245.7 µC Submit 4) What is Q(t,), the charge on the capacitor at time t = t, = 3.13 ms. Q(tj) is defined to be positive if V(a) – V(b) is positive. µC Submit 5) What is t2, the first time after the switch is opened that the energy stored in the capacitor is a maximum? ms Submit 6) What is the total energy stored in the inductors plus the capacitor at time t = t2? J Submit
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