What Determines the Period of Oscillation in an LC Circuit?

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Homework Help Overview

The discussion revolves around determining the period of oscillation in an LC circuit, specifically involving a 100 mH inductor and a 36.0 mF capacitor. Participants are analyzing the relationship between the circuit components and the resulting oscillation period.

Discussion Character

  • Conceptual clarification, Assumption checking, Mixed

Approaches and Questions Raised

  • Participants discuss the formula for frequency and period, with some questioning the values of capacitance used. There are attempts to clarify whether the capacitance is in milliFarads or microFarads, which affects the calculations. Others raise questions about the nature of electromagnetic oscillations in the circuit.

Discussion Status

The discussion is ongoing, with participants providing different interpretations of the capacitance value and its impact on the calculations. Some guidance has been offered regarding the correct formula for frequency, but no consensus has been reached on the correct period of oscillation.

Contextual Notes

There is confusion regarding the units of capacitance (mF vs. μF), which is critical for accurate calculations. Participants are also exploring the underlying causes of electromagnetic oscillation in the circuit.

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A series LC circuit contains a 100 mH inductor, a 36.0 mF capacitor and a 12 V battery. The period of the electromagnetic oscillations in the circuit is



1. 0.0227 s.

2. 1750 s.

3. 105 s.

4. 2.26 s.

5. 0.376 s.


f= 1/ 2*π *√L *C

L =100mH
C= 36uF

so,,f = 2.65

T = 1/f = 0.376S Is this correct?

Thanks in advance!
 
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I don't think the correct answer is there at all. The correct equation for the frequency
is: [tex]f = \frac {1} {2 \pi \sqrt{L C}}[/tex].
if you type it in ascii you should type f = 1 / (2 * pi * √(L*C)) to prevent misunderstanding. If I substitute L = 0.1 H and C = 36 * 10^(-6) F, I get f = 83.9 Hz and T = 0.0119 s
 
In the original problem statement you have that the capacitance is 36 milliFarads, but later in your post you state that the capacitance is 36 microFarads. If the capacitance is 36 mF, then I believe your answer is correct.
 
I apologize the the m in the mF for 36mF is the greek letter Mu (10E-6). With that said is my answer correct?
 
WAIT! IT IS 36mF.. The m is not Mu!
 
may I ask what causes this electromagnetic oscilliation? never heard of it before...
 
Well, you had listed it as uF at the very bottom, not mF.

An alternating voltage source causes the oscillation.
 
Last edited:

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