An LC circuit like the one in the figure below contains an 60.0 mH inductor and a 25.0 µF capacitor that initially carries a 185 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. Qmax (a) Find the frequency (in hertz) of the resulting oscillations. 129.95 Hz (b) At t = 1.00 ms, find the charge on the capacitor. 183.15 |x Remember that your answer to part (a) is in hertz rather than radians/second. µC (c) At t = 1.00 ms, find the current in the circuit. 2.15 If you know the charge on the capacitor as a function of time, how do you determine the current? mA |x (d) What If? What are the first three times (in ms), after t = 0, when the capacitor is fully charged again? 3.8 7.6 smallest value ms ms largest value 11.5 ms ell

University Physics Volume 2
18th Edition
ISBN:9781938168161
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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...
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An LC circuit like the one in the figure below contains an 60.0 mH inductor and a 25.0 µF capacitor that initially carries a 185 µC charge. The
switch is open for t < 0 and is then thrown closed at t = 0.
L
Qmax
(a) Find the frequency (in hertz) of the resulting oscillations.
129.95
Hz
(b) At t = 1.00 ms, find the charge on the capacitor.
183.15
Remember that your answer to part (a) is in hertz rather than radians/second. µC
(c) At t = 1.00 ms, find the current in the circuit.
2.15
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?
3.8
7.6
smallest value
ms
ms
largest value
11.5
ms
ell
Transcribed Image Text:An LC circuit like the one in the figure below contains an 60.0 mH inductor and a 25.0 µF capacitor that initially carries a 185 µC charge. The switch is open for t < 0 and is then thrown closed at t = 0. L Qmax (a) Find the frequency (in hertz) of the resulting oscillations. 129.95 Hz (b) At t = 1.00 ms, find the charge on the capacitor. 183.15 Remember that your answer to part (a) is in hertz rather than radians/second. µC (c) At t = 1.00 ms, find the current in the circuit. 2.15 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? 3.8 7.6 smallest value ms ms largest value 11.5 ms ell
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