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Oscillation frequency of circuit

by ttiger2k7
Tags: circuit, frequency, oscillation, solved
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ttiger2k7
#1
Apr15-08, 05:09 PM
P: 58
1. The problem statement, all variables and given/known data

An L-C circuit containing an 83.0 [tex]\rm mH[/tex] inductor and a 1.50 [tex]\rm nF[/tex] capacitor oscillates with a maximum current of 0.800 A.

Calculate the oscillation frequency of the circuit.


2. Relevant equations
[tex]\omega[/tex] = [tex]\frac{1}{\sqrt{LC}}[/tex]

[tex]f=2\pi\omega[/tex]


3. The attempt at a solution

First I solved for omega

[tex]\omega[/tex] = [tex]\frac{1}{\sqrt{.083 H * 1.5*10^{-9} F}}[/tex]
[tex]\omega[/tex] = 89622.14299

Then, since

[tex]f=2\pi\omega[/tex]

I just plugged in omega.

[tex]f=2\pi*89622.14299[/tex] = [tex]563112.532 Hz[/tex]

..

I typed in it, but it came back as incorrect. I looked and I can't find my mistake. I'm pretty sure I converted the units right and am using the right formulas. Can someone check to see if i did any thing wrong? Thanks.
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Rogerio
#2
Apr15-08, 05:21 PM
P: 403
Are you sure about your "relevant equations" ?
ttiger2k7
#3
Apr15-08, 05:26 PM
P: 58
oh wow...thanks. I had copied it down incorrectly in my notes. >_<


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