Alternating Current

JEE Main level, single correct, medium

69 of 190

Question 69 of 190

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:

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Answer: (C) Both Statement I and Statement II are true

Statement-I
Im=VmR2+(XL−XC)2I_m=\frac{V_m}{\sqrt{R^2+\left(X_L-X_C\right)^2}} at resonance XL=XCX_L=X_C
Thus, Im=VmRI_m=\frac{V_m}{R}
∵\because Impendence is minimum therefore II is maximum at resonance.
Statement-II
I=(VR)\mathrm{I}=\left(\frac{\mathrm{V}}{\mathrm{R}}\right) in purely resistive circuit.

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