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In the given circuit, rms value of current \left(I_{r m s}\right) through the resistor R is:

Option: 1

2 \sqrt{2} \mathrm{~A}


Option: 2

2 \mathrm{~A}


Option: 3

20 \mathrm{~A}


Option: 4

\frac{1}{2} \mathrm{~A}


Answers (1)

best_answer

\mathrm{Z}=\sqrt{\mathrm{R}^{2}+\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{e}}\right)^{2}}
\mathrm{Z}=\sqrt{(100)^{2}+(200-100)^{2}}
\mathrm{Z}=100 \sqrt{2} \Omega

\mathrm{I}_{\mathrm{rms}}=\frac{\mathrm{V}_{\mathrm{rms}}}{\mathrm{Z}}=\frac{200 \sqrt{2}}{100 \sqrt{2}}=2 \mathrm{~A}

Posted by

rishi.raj

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