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Questions  

In an LCR circuit  R = 100 ohm. When capacitance C is removed, the current lags behind the voltage by \frac{\pi}{3} . When inductance L is removed, the current leads the voltage by \frac{\pi}{3} . The impedance of the circuit is

a
50 ohm
b
100 ohm
c
200 ohm
d
400 ohm

detailed solution

Correct option is B

When C is removed circuit becomes RL circuit hence            .....(i)When L is removed circuit becomes RC circuit hence            .....(ii)From equation (i) and (ii) we obtain XL = XC. This is the condition of resonance and in resonance Z = R = 100Ω

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