Solving Oscillations in an Electrical Circuit

AI Thread Summary
The discussion focuses on solving oscillations in an electrical circuit, specifically addressing the frequency of current oscillation, potential difference oscillation, and the charge on the capacitor after one complete oscillation. The formula for current oscillation frequency is provided as ω = 1/(sqrt[LC]), while the formula for damped frequency is w' = w^2 - b^2, where b = R/(2L). Participants express confusion about the initial conditions of the capacitor and the meanings of current and potential difference oscillations. The Q-factor for an LRC circuit is also mentioned as a relevant concept. Understanding these formulas and concepts is crucial for solving the homework problems effectively.
Thefox14
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Homework Statement


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a. What is the frequency of the current oscillation of the circuit as it is shown?

b. What is the frequency of the oscillations in electrical potential difference, V, between the two ends of the resistor in the circuit as it is shown?

c. What is the charge on the capacitor after the current has oscillated back and forth once?

Homework Equations



\omega = 1/(sqrt[LC]) --LaTeX's sqrt wasn't working

The Attempt at a Solution



I can easily find the freq of the current oscillations using the formula above, but I can't recall what the formula is for damped freq. Once I know that, I'm fairly certain I'll be able to solve the rest.
 
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Was the capacitor charged before closing the switch? Are you sure you wrote the problem correctly? What do current oscillation and potential difference oscillation mean?

ehild
 
Alright I found the formula for dampened oscillations. In case someone wants to know it's:
w' = w^2 - b^2

where b = R/(2L) and w = 1/sqrt[LC]
 
Look up the Q-factor for an LRC circuit. How's it defined?
 

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