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ttiger2k7
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[SOLVED] oscillation frequency of circuit
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.
[tex]\omega[/tex] = [tex]\frac{1}{\sqrt{LC}}[/tex]
[tex]f=2\pi\omega[/tex]
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.
Homework Statement
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.
Homework Equations
[tex]\omega[/tex] = [tex]\frac{1}{\sqrt{LC}}[/tex]
[tex]f=2\pi\omega[/tex]
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.