First slide

Electrical Resonance series circuit

Question

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

Easy

A

Is halved
B

Is doubled
C

Remains unchanged
D

Is quadrupled

Solution

Resonant frequency $= \frac{1}{2 π \sqrt{LC}} .$ It does not depend on resistance.

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