Question

In an LCR series circuit, the value of only capacitance $C$ is varied. The resulting variation of resonance frequency $f_0$ as a function of $C$ can be represented as

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is C

The resonance frequency $f_0$ of an LCR circuit is given by:
$f_0 = \frac{1}{2 \pi} \sqrt{\frac{1}{LC}}$.

As the capacitance $C$ increases, the resonance frequency $f_0$ decreases, because $f_0$ is inversely proportional to the square root of $C$. This means that as $C$ increases, $f_0$ decreases, resulting in a graph with a downward slope as $C$ increases.