First slide

AC Circuits

Question

A 10 ohm resistance, 5 mH coil and 10 $μ$ F 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

Moderate

A

Is halved
B

Is doubled
C

Remains unchanged
D

In quadrupled

Solution

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

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