An inductive coil has a resistance of $$100 ~\Omega$$. When an a.c. signal of frequency $$1000 \mathrm{~Hz}$$ is applied to the coil the voltage leads the current by $$45^{\circ}$$. The inductance of the coil is $$\left(\tan 45^{\circ}=1\right.$$)
- A$$\frac{0.25}{2 \pi} \mathrm{H}$$
- B$$\frac{0.05}{\pi} \mathrm{H}$$
- C$$\frac{0.25}{\pi} \mathrm{H}$$
- D$$\frac{0.5}{\pi} \mathrm{H}$$
✓ Correct answer: B
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