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  4. In the circuit diagram shown, XC=100 Ω, XL=200 Ω and R=100 Ω. The effective current through the source is m √n ampere. Find (m+n).

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Q. In the circuit diagram shown, $X_{C}=100 \, \Omega, X_{L}=200 \,\Omega$ and $R=100\, \Omega$. The effective current through the source is $m \sqrt{n}$ ampere. Find $(m+n)$.Physics Question Image

Alternating Current

Solution:

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$I_{R}=\frac{V}{R}=\frac{200}{100}=2\, A$
$I'=\frac{V}{X_{L}-X_{C}}=\frac{200}{100}=2 \, A$
$I=\sqrt{I_{R}^{2}+I^{\prime 2}}=2 \sqrt{2} \, A$

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