Given below are two statements: Statement I: In an LCR series...

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:

Options

AStatement I is false but Statement II is true
BStatement I is true but Statement II is false
CBoth Statement I and Statement II are true
DBoth Statement I and Statement II are false

Correct answer

C. Both Statement I and Statement II are true

Step-by-step 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.

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