Oscillation frequency of circuit

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SUMMARY

The oscillation frequency of an L-C circuit containing an 83.0 mH inductor and a 1.50 nF capacitor is calculated using the formula f = 2π/√(LC). The correct calculation yields an angular frequency (ω) of approximately 89622.14 rad/s, leading to a frequency (f) of approximately 563112.53 Hz. The initial confusion arose from a miswritten equation in the notes, which was clarified during the discussion. This highlights the importance of accurate note-taking in solving circuit problems.

PREREQUISITES
  • Understanding of L-C circuits
  • Familiarity with the formulas for angular frequency and frequency
  • Basic knowledge of inductance and capacitance units
  • Ability to perform unit conversions accurately
NEXT STEPS
  • Review the principles of L-C circuit oscillation
  • Study the derivation of the formulas for angular frequency and frequency
  • Practice solving problems involving different values of inductance and capacitance
  • Explore the effects of resistance on oscillation frequency in RLC circuits
USEFUL FOR

Students studying electrical engineering, circuit designers, and anyone interested in understanding oscillation frequencies in L-C circuits.

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[SOLVED] oscillation frequency of circuit

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.
 
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Are you sure about your "relevant equations" ?
:rolleyes:
 
oh wow...thanks. I had copied it down incorrectly in my notes. >_<
 

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