Question

The graphs given below depict the dependence of two reactive impedance $X_1$ and $X_2$ on the frequency of the alternating e.m.f. applied individually to them, we can then say that-

• A. $X_1$ is an inductor and $X_2$ is a resistor.
• B. $X_1$ is a capacitor and $X_2$ is an inductor.
• C. $X_1$ is a resistor and $X_2$ is a capacitor.
• D. $X_1$ is an inductor and $X_2$ is a capacitor.

Answer 1

The correct option is B $X_1$ is a capacitor and $X_2$ is an inductor.

From the given graph, we can say that,

(i) $X_2=X_L=L\omega =L\times 2\pi f$

$\Rightarrow X_L\propto f$

(ii) $X_1=X_C=\frac{1}{\omega C}=\frac{1}{2\pi fC}$

$\Rightarrow X_C\propto \frac{1}{f}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(B\right)$ is the correct answer.