Damoed Oscillation in an RLC circuit

AI Thread Summary
The discussion centers on calculating the charge on a capacitor in a damped RLC circuit after a specified number of cycles. The relevant equation involves the charge, resistance, inductance, capacitance, and angular frequency. Participants express confusion about converting the number of cycles into time and understanding angular frequency's relationship to circuit components. Clarification is sought on how to derive angular frequency and its impact on the timing of cycles. The conversation highlights the need for a clear grasp of these concepts to solve the homework problem effectively.
Senrab
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Homework Statement


A single loop circuit consists of a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20*10^-6 F capacitor. Initially the Capacitor has a charge of 6.20*10^-6 C and the current is zero. Find the charge on the capacitor N complete cycles later for a) N=5, b) N=10, and c) N=100.

Homework Equations


q=Qe^(-Rt/2L)cos(wt + p), where p is the phase constant and w is the angular frequency.


The Attempt at a Solution


I can't figure out how to solve this considering I'm given a # of complete cycles and I can't convert it to time. Sorry if I'm being dumb, I've been working on the same type of stuff for several hours now.
 
Physics news on Phys.org
What is angular frequency? How is related the angular frequency to L, C, and R?

ehild
 
ehild said:
What is angular frequency? How is related the angular frequency to L, C, and R?

ehild

After you find the angular frequency, how is it related to the time it takes the system to go through one cycle?
 

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