Question 358: AC fundamentals

Question

In the given circuit, r.m.s. value of current through the resistor $$\mathrm{R}$$ is

Accepted Answer

$$\begin{aligned}
& \mathrm{Z}=\sqrt{\mathrm{R}^2+\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}ight)^2} \\
&\mathrm{Z} =\sqrt{100^2+100^2} \\
& \mathrm{Z} =100 \sqrt{2} \Omega \\
& \mathrm{i}_{	ext {rms }}=\frac{\mathrm{V}_{	ext {rms }}}{\mathrm{Z}} \\
&	herefore \quad \mathrm{i}_{	ext {rms }}  =\frac{200 \sqrt{2}}{100 \sqrt{2}} \\
&\mathrm{i}_{	ext {rms }}  =2 \mathrm{~A}
\end{aligned}$$

Answer

$$2 \mathrm{~A}$$

Answer

$$0.5 \mathrm{~A}$$

Answer

$$20 \mathrm{~A}$$

Answer

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

AC fundamentals

In the given circuit, r.m.s. value of current through the resistor $\mathrm{R}$ is

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