> Q. An inductive coil has a resistance of 100 $ Omega $ When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by $ 45{}^circ $ . The inductance of the coil is – LIVE ANSWER TODAY

Q. An inductive coil has a resistance of 100 $ Omega $ When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by $ 45{}^circ $ . The inductance of the coil is

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An inductive coil has a resistance of 100 $ Omega $ When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by $ 45{}^circ $ . The inductance of the coil is

Solution:

$ tan phi text{=}frac{{{X}_{L}}}{R} $

$ therefore $ $ tan {{45}^{o}}=frac{Lomega }{R} $

$ L=frac{R}{omega }=frac{100}{2pi times 1000} $

$ (because ,tan{{45}^{o}}=1) $

$ L=frac{1}{20pi } $

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