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 2. The values for the inductances are: L1 =324 mH and L, = 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. L2 b 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 L1 just after the switch is opened? J 8) What is 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?

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Chapter19: Capacitors
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Needed to be solved part 7,8 and 9 correclty in 20 minutes and get the thumbs up please show neat and clean work
A circuit is constructed with a resistor, two inductors, one capacitor, one
battery and a switch as shown. The value of the resistance is R = 109 Q.
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.
L2
b
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(tj) is defined to be positive if V(a) –
V(b) is positive.
11) What is t2, 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= t2?
J
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 R = 109 Q. 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. L2 b 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(tj) is defined to be positive if V(a) – V(b) is positive. 11) What is t2, 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= t2? J
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