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?

• A

  2mH 

• B

  3.3mH 

• C

  16mH 

• D

  $\sqrt{5}mH$