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.