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 = 231 0. The values for the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190 uF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. R, L, L2 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?

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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 = 231 0. The values for
the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190
uF and the battery voltage is V = 12 V. The positive terminal of the battery is
indicated with a + sign.
R,
L2
b
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?
J Submit
2) What is wo, the resonant frequency of the circuit just after the switch is opened?
radians/s Submit
3) What is Qmax: the magnitude of the maximum charge on the capacitor after the switch is opened?
uC Submit
4) What is Q(t1), the charge on the capacitor at time t = t = 4.83 ms. Q(t1) is defined to be positive if V(a) - V(b) is
positive.
uC Submit
5) What is t7, 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 = 231 0. The values for the inductances are: L1 = 307 mH and L2 = 114 mH. The capacitance is C = 190 uF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. R, L2 b 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? J Submit 2) What is wo, the resonant frequency of the circuit just after the switch is opened? radians/s Submit 3) What is Qmax: the magnitude of the maximum charge on the capacitor after the switch is opened? uC Submit 4) What is Q(t1), the charge on the capacitor at time t = t = 4.83 ms. Q(t1) is defined to be positive if V(a) - V(b) is positive. uC Submit 5) What is t7, 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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