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Question

# A 10 Ω resistor, 10 mH coil and 10 μF capacitor are connected in series across an AC supply. For a certain frequency of the source, the circuit resonates. If the resistance of the resistor is halved, the resonant frequency will -

A
be halved.
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B
be doubled.
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C
remain the same.
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D
Either option (A) or (B)
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Solution

## The correct option is C remain the same.The resonant frequency is given by, f0=12π√LC As the resonant frequency is independent of the resistance (R) of the resistor, any change in the resistance will not affect the resonant frequency. Hence, option (C) is the correct answer.

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