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
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
Chapter14: Inductance
Section: Chapter Questions
Problem 65P: In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum...
Question
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
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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