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Should VL and VC be equal at resonance frequency (explain why “yes” or “no”).

Should VL and VC be equal at resonance frequency (explain why “yes” or “no”).

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Answer #1

Yes, LCR series circuit is in resonance when the magnitude of inductive reactance and capacitive reactance are equal similarly VL and VC are also equal. Then the impedance of circuit will be equal to Resistance of the resistor as the inductive reactance and capacitive reactance cancel each other. Z² = R² +( XL² − XC² )

Then it means, Z = R.

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