Q.

An LCR series circuit with a resistance of 100 ohm is connected to an ac source of 200 V (r.m.s.) and angular frequency 300 rad/s. When only the capacitor is removed, the current lags behind the voltage by  600. When only the inductor is removed the current leads the voltage by 600 . If all elements are connected, the current in the circuit is

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a

5A

b

2 A

c

4 A   

d

 1 A

answer is D.

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Detailed Solution

tanϕ=XLR=XCRtan60o=XLR=XCR

XL=XC=3R

i.e.  Z=R2+(XLXC)2=R

So, irms=Vrms R=200100=2A

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