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R = 100 ohms in a series RLC circuit. C capacitor disable (RL) current, pi /...

R = 100 ohms in a series RLC circuit. C capacitor disable (RL) current, pi / 3 radian lags behind the voltage. When the inductor L is removed (RC), the current rises more than the voltage up to pi / 3 radians. Find the total impedance of the circuit
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Answer #1

Firstly C disabled means It becomes LR circuit

    (1)    Where XL is the reactance of inductor

when L disabled means It becomes RC circuit

    (2)     Where XC is the reactance of capacitor

From (1) and (2)

This is the condition for resonance condition for LCR circuit.

At resonance the impedence is equal to R. here R=100 ohm

Hence impedence of the circuit =

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