Engineering Resonant frequency of a circuit

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The discussion centers on calculating the resonant frequency of a circuit, where one participant initially calculated it as 10^8 rad/s, while the provided solution states it should be 10^4 rad/s. The error was identified in the approach to solving for the equivalent impedance; specifically, the imaginary part of the impedance should be set to zero, not the entire equation. This adjustment is crucial because, at resonance, the circuit is purely resistive. The participant successfully resolved the issue after receiving clarification.
gfd43tg
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Hello, I am working on this circuit to find the resonant frequency.
ImageUploadedByPhysics Forums1398753368.063181.jpg


I calculate 10^8 rad/s, but the solution says it's 10^4 rad/s. Here is my work. I just solved for the equivalent impedance, and then separated the j term and solved for the inside of the parenthesis to be equal to zero.

ImageUploadedByPhysics Forums1398753450.226063.jpg


Am I wrong or the solution?
Thank you
 
Last edited:
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Hey, you should make imaginary part of impedance zero not the whole equation because at resonance the circuit will be purely resistive ...impedance doesnot equal zero
 
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Thank you very much, I solved it now!
 

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