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(B) Given frequency $f = \frac{50}{\pi} \, Hz$.Resistance $R = 1 \, \Omega$.Inductance $L = 10 \, mH = 10 	imes 10^{-3} \, H = 0.01 \, H$.Angular fre

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$\frac{1}{\sqrt{2}}$

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(B) Given frequency $f = \frac{50}{\pi} \, Hz$.Resistance $R = 1 \, \Omega$.Inductance $L = 10 \, mH = 10 	imes 10^{-3} \, H = 0.01 \, H$.Angular frequency $\omega = 2\pi f = 2\pi 	imes \frac{50}{\pi} = 100 \, rad/s$.Inductive reactance $X_L = \omega L = 100 	imes 0.01 = 1 \, \Omega$.The power factor $\cos \phi$ is given by $\frac{R}{Z}$,where $Z = \sqrt{R^2 + X_L^2}$.$Z = \sqrt{1^2 + 1^2} = \sqrt{2} \, \Omega$.Power factor $= \frac{1}{\sqrt{2}}$.

$A$ choke coil is connected to an $AC$ source of frequency $\frac{50}{\pi} \, Hz$. If the resistance of the coil is $1 \, \Omega$ and the inductance is $10 \, mH$,what would be the value of the power factor?

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