The instantaneous values of current and voltage in an AC circuit are `i=100sin314t` amp and `e=200sin(314t+pi//3)V` respectively. If the resistance is `1Omega` then the reactance of the circuit will be

Options

A. `-200sqrt(3) Omega`
B. `sqrt(3) Omega`
C. `-200//sqrt(3) Omega`
D. `100sqrt(3) Omega`

Answer

B

Explanation

`V_(0)=i_(0)Z implies 200=100Z implies Z=2 Omega`
Also `Z^(2)=R^(2)+X_(L)^(2) implies (2)^(2)=(1)^(2)+X_(L)^(2)impliesX_(L)=sqrt(3)Omega`