In the given circuit, rms value of current through the resistor is [2023]

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Solution

Q.
In the given circuit, rms value of current $(I_{rms})$ through the resistor $R$ is [2023]

1 $2 A$

2 $\frac{1}{2} A$

3 $20 A$

4 $2 \sqrt{2} A$

Ans.
(1)

$z = \sqrt{100^{2} + {(200 - 100)}^{2}} = 100 \sqrt{2} Ω$

$i_{rms} = \frac{V_{rms}}{Z} = \frac{200 \sqrt{2}}{100 \sqrt{2}} = 2 A$

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