Given below are two statements : Statement I : In an LCR series c… - Vidyadip

Question

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 :
(1) Statement I is true but Statement II is false
(2) Statement I is false but Statement II is true
(3) Both Statement I and Statement II are true
(4) Both Statement I and Statement II are false

✓

Answer

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
$I =\left(\frac{ V }{ R }\right)$ in purely resistive circuit.

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