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Resonance in RLC Circuit

At resonant f...

Question

At resonant frequency the current amplitude in series LCR circuit is:

A

maximum

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B

minimum

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C

zero

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D

Infinity

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Solution

The correct option is B maximum
$I_{0} = \frac{V_{0}}{\sqrt{R^{2} + {(X_{C} - X_{L})}^{2}}}$
At resonant frequency, $X_{C} = X_{L}$
So $Z =$ minimum

$\Rightarrow I_{0} =$ maximum

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