Question

An inductive coil has resistance of $100\Omega$. When an ac signal of frequency $1000Hz$ is fed to the coil, the applied voltage leads the current by ${45}^{\circ }$. What is the inductance of the coil?

• A. $2mH$
• B. $3.3mH$
• C. $16mH$
• D. $\sqrt{5}mH$

Answer 1

The correct option is C $16mH$

$tan\left(45\right)=1=\frac{L\omega }{R}$
$L=R/\omega =R/\left(2\pi 1000\right)=.016H$