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Q.

The instantaneous values of current and voltage in an ac circuit are i=100sin 314 t amp  and e=200sin (314 t+π/3)V  respectively. If the resistance is 1Ω then the reactance of the circuit will be

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a

−2003 Ω

b

3 Ω

c

−200/3 Ω

d

1003 Ω

answer is B.

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Detailed Solution

V0=i0Z⇒200 = 100Z⇒Z= 2ΩAlso Z2=R2+XL2⇒(2)2=(1)2+XL2⇒XL=3Ω
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