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  • An inductive coil has a resistance of 100 Ω. When an a.c. signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by   What i

An inductive coil has a resistance of 100 Ω. When an a.c. signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 45^0  What is the inductance of the coil?
Option: 1 6.7 x 10-7 H
Option: 2 1.1 x 10-1 H
Option: 3 1.1 x 10-5 H  
Option: 4 1.6 x 10-3 H

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\\ \text{The applied voltage leads the current by}\ 45^{\circ} \\ i.e., \frac{X_{L}}{R}=\tan 45^{\circ} \\ X_{L}=R \\ \Rightarrow 2 \times 3.14 \times 1000 L=100 \\ \Rightarrow 6280 L=100 \\ \Rightarrow L=\frac{25}{1570}=0.01592 \cong 16 m H

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