An inductive coil has resistance of `100 Omega`. When an ac signal of frequency `1000 Hz` is fed to the coil. The applied voltage leads the current by `45^(@)`. What is the inductance of the coil?

Options

A. `(1)/(10pi)`
B. `(1)/(2pi)`
C. `(1)/(40pi)`
D. `(1)/(60pi)`

Answer

B

Explanation

Since, `tanphi=(X_(L))/(R)`
`thereforetan45^(@)=(Lomega)/(R)`
`L=(R)/(omega)=(100)/(2pixx1000)" "(becausetan45^(@)=1)`
`L=(1)/(20pi)`