Question

# The instantaneous values of current and voltage in an AC circuit are $$i=100\sin 314 t$$ amp and $$e=200\sin (314t+\dfrac{\pi}{3})V$$ respectively. If the resistance is $$1\Omega$$, then the reactance of the circuit will be:

A
3Ω
B
1003Ω
C
2003Ω
D
200/3Ω

Solution

## The correct option is A $$\sqrt{3}\Omega$$We have, $$V_0=i_0Z$$$$\Rightarrow 200=100Z$$$$Z=2\Omega$$So, the impedance of the circuit$$Z^2=R^2+X^2_L$$$$\Rightarrow (2)^2=(1)^2+X^2_L$$$$X_L=\sqrt{3}\Omega$$Physics

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