An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 30.0 uF capacitor that initially carries a 165 μC charge. The switch is open for t < 0 and is then thrown closed at t = 0. C L Qmax S eee (a) Find the frequency (in hertz) of the resulting oscillations. 113.97 Hz (b) At t = 1.00 ms, find the charge on the capacitor. 124.511 με (c) At t = 1.00 ms, find the current in the circuit. X 13 If you know the charge on the capacitor as a function of time, how do you determine the current? mA (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value 4.387 ms 8.778 ms largest value 13.16 ms

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Chapter14: Inductance
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Problem 65P: In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum...
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An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 30.0 uF capacitor that initially carries a 165 μC charge. The switch is open for t < 0 and is then thrown closed at t = 0.
C
L
Qmax
S
eee
(a) Find the frequency (in hertz) of the resulting oscillations.
113.97
Hz
(b) At t = 1.00 ms, find the charge on the capacitor.
124.511
με
(c) At t = 1.00 ms, find the current in the circuit.
X
13
If you know the charge on the capacitor as a function of time, how do you determine the current? mA
(d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again?
smallest value
4.387
ms
8.778
ms
largest value
13.16
ms
Transcribed Image Text:An LC circuit like the one in the figure below contains an 65.0 mH inductor and a 30.0 uF capacitor that initially carries a 165 μC charge. The switch is open for t < 0 and is then thrown closed at t = 0. C L Qmax S eee (a) Find the frequency (in hertz) of the resulting oscillations. 113.97 Hz (b) At t = 1.00 ms, find the charge on the capacitor. 124.511 με (c) At t = 1.00 ms, find the current in the circuit. X 13 If you know the charge on the capacitor as a function of time, how do you determine the current? mA (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? smallest value 4.387 ms 8.778 ms largest value 13.16 ms
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