7.Alternating Current
medium

$220 \;V, 50\; Hz$ ના $ac$ સ્ત્રોત સાથે $44\; mH$ નું ઇન્ડક્ટર જોડેલ છે. પરિપથમાં પ્રવાહનું $rms$ મૂલ્ય શોધો.

A

$11.96$

B

$15.92$

C

$18.34$

D

$22.42$

Solution

$L =44 \,mH =44 \times 10^{-3} \,H\,V =220 \,V$

Frequency $(f)$ $=50 \,Hz$

Angular frequency, $\omega=2 \pi f$

Inductive reactance, $X _{ L }=\omega L=2 \pi f L$

$I_{m s}$ is given by $=\frac{V}{X_{L}}$

Determining inductive reactance

$X _{ L }=2 \times 3.14 \times 50 \times 44 \times 10^{-3}\, \Omega$

$X _{ L }=13.82$ ohms

Therefore

$I_{r m s}=220 / 13.82 \frac{220}{13.82}$

$I_{r m}=15.92\, A$

Standard 12
Physics

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