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Resonance in RLC Circuit

In a LCR circ...

Question

In a LCR circuit at resonance which of these will effect the current in circuit

A

R

only

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B

L

and

R

only

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C

R

and

C

only

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D

all

L, C, R

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Solution

The correct option is A $R$ only
At resonance, $ω L = \frac{1}{ω C}$
Hence, the impedence of the circuit would be just equal to $R$ (minimum).
In other words, the LCR-series circuit will behave as a purely resistive circuit. Due to this the current is maximum.
This condition, is know as resonance.
$∴$ $Z = R$ , Current $= \frac{V}{R}$

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