Physics - EMI/AC Question with Solution | TestHub

The circuit is a series RLC circuit.

Given: $X_C=100\Omega$, $X_L=200\Omega$, $R=100\Omega$.

The impedance $Z$ is calculated as:

$$Z=\sqrt{R^2+(X_L-X_C{)}^2}$$

$$Z=\sqrt{(100{)}^2+(200-100{)}^2}=\sqrt{100^2+100^2}=\sqrt{2\times 100^2}=100\sqrt{2}\Omega$$

Assuming a source voltage $V=200V$ (a common value in such problems if not specified, allowing for integer current options), the effective current $I$ is:

$$I=\frac{V}{Z}=\frac{200}{100\sqrt{2}}=\frac{2}{\sqrt{2}}=\sqrt{2}A$$

The final answer is $\sqrt{2}A$.