Question

In an LCR series circuit, the value of only capacitance C is varied. The resulting variation of resonance frequency f₀ as a function of C can be represented as

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is C

In an LCR series circuit, the resonance frequency is given by: \[ f_0 = \frac{1}{2\pi \sqrt{LC}} \] From this formula, we see that the resonance frequency \(f_0\) is inversely proportional to the square root of the capacitance \(C\). That means as \(C\) increases, \(f_0\) decreases in a non-linear fashion (specifically, it decreases as a square root function). So the graph of \(f_0\) versus \(C\) will be a decreasing curve, matching option (3) – Option C.