Q73 / 90 · JEE Main 2024 (06 Apr Shift 1) · Physics
Given below are two statements:
Statement I: In an LCR series circuit, current is maximum at resonance.
Statement II: Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.
In the light of the above statements, choose the correct from the options given below:
- AStatement I is false but Statement II is true
- BStatement I is true but Statement II is false
- Correct answerCBoth Statement I and Statement II are true
- DBoth Statement I and Statement II are false
Solution
Statement-I
$I_m=\frac{V_m}{\sqrt{R^2+\left(X_L-X_C\right)^2}}$ at resonance $X_L=X_C$
Thus, $I_m=\frac{V_m}{R}$
$\because$ Impendence is minimum therefore $I$ is maximum at resonance.
Statement-II $\mathrm{I}=\left(\frac{\mathrm{V}}{\mathrm{R}}\right)$ in purely resistive circuit.
Statement-II $\mathrm{I}=\left(\frac{\mathrm{V}}{\mathrm{R}}\right)$ in purely resistive circuit.
Hence, the correct answer is option: 'C'.