7.Alternating Current
medium

$50\,Hz$ આવૃતિ એ $30\,ohm$ અવરોધ અને $20\,ohm$ ઇન્ડક્ટીવ રીએક્ટન્સ કોઇલને $200\,volt$, $100\,Hz$ આવૃતિવાળા ઉદગમ સાથે જોડતા પ્રવાહ ....... $A$

A

$4$

B

$8$

C

$\frac {20}{\sqrt {13}}$

D

$2$

Solution

If $\omega=50 \times 2 \pi$ then $\omega L=20 \Omega$

If $\omega^{\prime}=100 \times 2 \pi$ then $\omega^{\prime} \mathrm{L}=40 \Omega$

Current flowing in the coil is

$I=\frac{200}{Z}=\frac{200}{\sqrt{R^{2}+\left(\omega^{\prime} L\right)^{2}}}=\frac{200}{\sqrt{(30)^{2}+(40)^{2}}}$

$I=4 A.$

Standard 12
Physics

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