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7.Alternating Current
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$220 \;V, 50\; Hz$ 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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