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  • A coil of 0.01 henry inductance and 1-ohm resistance is connected to 200 volts, 50 Hz ac supply. Find the impedance of the circuit and time lag between max. alternating voltage and current.

A coil of 0.01 henry inductance and 1-ohm resistance is connected to 200 volts, 50 Hz ac supply. Find the impedance of the circuit and time lag between max. alternating voltage and current.

Answers (1)

Inductance (L)=0.01 \; H

Resistance (R)=1\Omega

Voltage (V)=200 V

Frequency (f)=50 Hz

X_{L}=2\pi fL=3.14\Omega

z=\sqrt{R^{2}+X_{L}^{2}}=\sqrt{10.86}=3.3\Omega

\tan \phi =\frac{\omega L}{R}=\frac{2\pi fL}{R}=3.14

\text {Phase different}(\phi )=\tan ^{-1}3.14=72^{o}=\frac{72}{180}*\pi

\text {Time lag}(\Delta t )=\frac{\phi }{\omega }=\frac{\frac{72\pi }{180}}{2\pi *50}=0.004\; s

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