Solving Oscillations in an Electrical Circuit

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Homework Help Overview

The discussion revolves around oscillations in an electrical circuit, specifically focusing on the frequency of current oscillation, the frequency of oscillations in electrical potential difference across a resistor, and the charge on a capacitor after one complete oscillation. The subject area includes concepts from electrical engineering and circuit theory.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to find the frequency of current oscillations using a specific formula and expresses uncertainty about the formula for damped frequency. Some participants question the initial conditions of the circuit, such as whether the capacitor was charged before closing the switch, and seek clarification on the meanings of current oscillation and potential difference oscillation.

Discussion Status

Participants are exploring different aspects of the problem, with some providing formulas related to damped oscillations and others prompting for clarification on definitions and assumptions. There is no explicit consensus yet, but the discussion is progressing with relevant questions and insights being shared.

Contextual Notes

There are questions regarding the initial conditions of the circuit, specifically the state of the capacitor before the switch is closed, which may affect the interpretation of the problem. Additionally, the original poster's uncertainty about the correct formulas indicates potential gaps in understanding that are being addressed through discussion.

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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