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Q.

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

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a

50 ohm

b

100 ohm

c

200 ohm

d

400 ohm

answer is B.

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Detailed Solution

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