Damoed Oscillation in an RLC circuit

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SUMMARY

The discussion focuses on calculating the charge on a capacitor in a damped oscillation scenario within an RLC circuit, specifically a circuit with a 7.2 ohm resistor, a 12.0 H inductor, and a 3.20 x 10^-6 F capacitor. The formula q=Qe^(-Rt/2L)cos(wt + p) is utilized to determine the charge after N complete cycles, where N is specified as 5, 10, and 100. Key concepts discussed include angular frequency and its relationship to the circuit's components, which are essential for solving the problem accurately.

PREREQUISITES
  • Understanding of RLC circuit components: resistor, inductor, and capacitor
  • Familiarity with the formula for charge in damped oscillation: q=Qe^(-Rt/2L)cos(wt + p)
  • Knowledge of angular frequency and its calculation: w = 1/√(LC)
  • Basic concepts of oscillatory motion and damping in electrical circuits
NEXT STEPS
  • Calculate angular frequency for RLC circuits using the formula w = 1/√(LC)
  • Explore the relationship between angular frequency and the time period of oscillation
  • Investigate the effects of resistance on damping in RLC circuits
  • Practice solving similar problems involving charge calculations in RLC circuits
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone seeking to understand the dynamics of RLC circuits and damped oscillations.

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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