Resonant frequency of a circuit

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SUMMARY

The discussion centers on calculating the resonant frequency of a circuit, where the user initially calculated 108 rad/s, but the provided solution states it should be 104 rad/s. The error was identified as a misunderstanding of how to handle the impedance; specifically, the imaginary part of the impedance must be set to zero at resonance, not the entire equation. After clarification, the user successfully resolved the issue.

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  • Understanding of circuit impedance
  • Knowledge of resonant frequency concepts
  • Familiarity with complex numbers in electrical engineering
  • Ability to solve equations involving imaginary components
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  • Learn about the conditions for resonance in electrical circuits
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Electrical engineers, circuit designers, students studying circuit theory, and anyone involved in analyzing resonant circuits.

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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