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  4. In the given circuit, rms value of current ( I rms ) through the resistor R is:

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Q. In the given circuit, rms value of current $\left( I _{ rms }\right)$ through the resistor $R$ is:Physics Question Image

JEE MainJEE Main 2023Alternating Current

Solution:

$ z =\sqrt{100^2+(200-100)^2} $
$ =100 \sqrt{2} \Omega $
$ i _{ rms }=\frac{ V _{ rms }}{ z }=\frac{200 \sqrt{2}}{100 \sqrt{2}} $
$ =2 A$