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 = 109 Q. a The values for the inductances are: L1 = 324 mH and L2 = 191 mH. The capacitance is C = 105 µF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. 7) 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 L just after the switch is opened? J 8) What is o, the resonant frequency of the circuit just after the switch is opened? radians/s 9) What is Qmax, the magnitude of the maximum charge on the capacitor after the switch is opened? µC 10) What is Q(t), the charge on the capacitor at time t=t =3.24 ms. Q(t¡) is defined to be positive if V(a) – V(b) is positive. µC 11) What is t,, the first time after the switch is opened that the energy stored in the capacitor is a maximum? ms 12) What is the total energy stored in the inductors plus the capacitor at time t=t,? J

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 = 109 Q. a The values for the inductances are: L1 = 324 mH and L2 = 191 mH. The capacitance is C = 105 µF and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. 7) 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 L just after the switch is opened? J 8) What is o, the resonant frequency of the circuit just after the switch is opened? radians/s 9) What is Qmax, the magnitude of the maximum charge on the capacitor after the switch is opened? µC 10) What is Q(t), the charge on the capacitor at time t=t =3.24 ms. Q(t¡) is defined to be positive if V(a) – V(b) is positive. µC 11) What is t,, the first time after the switch is opened that the energy stored in the capacitor is a maximum? ms 12) What is the total energy stored in the inductors plus the capacitor at time t=t,? J