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Question: A 10 ohm resistance, 5 mH coil and 10 μF capacitor are joined in series. When a suitable frequency a...

A 10 ohm resistance, 5 mH coil and 10 μF capacitor are joined in series. When a suitable frequency alternating current source is joined to this combination, the circuit resonates. If the resistance is halved, the resonance frequency

A

Is halved

B

Is doubled

C

Remains unchanged

D

In quadrupled

Answer

Remains unchanged

Explanation

Solution

Resonant frequency =12πLC= \frac{1}{2\pi\sqrt{LC}}does not depend on resistance.