In an LCR circuit R =100 ohm. When capacitance C is removed, the current lags behind the voltage byπ3 . When inductance L is removed, the current leads the voltage by π3 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 tan nπ3=XLRWhen L is removed circuit becomes RC circuit hence tan π3=XCRFrom equation (1) and (2) we obtain L C X 1 X 2This is the condition of resonance and in resonance Z=R=100Ω