Question

What will be the self inductance of a coil, to be connected in a series with a resistance of $\pi \sqrt{3}\Omega$ such that the phase difference between the emf and the current at 50 Hz frequency is ${30}^{\circ }$

• A. 0.5 Henry
• B. 0.03 Henry
• C. 0.05 Henry
• D. 0.01 Henry

Answer 1

The correct option is D 0.01 Henry

$tan\varphi =\frac{X_L}{R}=\frac{2\pi vL}{R}\Rightarrow tan{30}^{\circ }=\frac{2\pi \times 50\times L}{\pi \sqrt{3}}L=0.01H$.