A resonant frequency of a circuit is f . If the capacitance is made four times the initial value, then the resonant frequency will become

Question

Aicharya · Accepted Answer

Resonance frequency of an L-C circuit is the frequency when the intensity of current is maximum in the circuit.

Resonant frequency, $f = \frac{1}{2 π \sqrt{L C}}$

$f \propto \frac{1}{\sqrt{C}}$ or $\frac{f_{1}}{f_{2}} = \sqrt{\frac{C_{2}}{C_{1}}}$

Now, if the capacitance is made four times the initial value,

$\frac{f}{f_{2}} = \sqrt{\frac{4 C}{C}} \Rightarrow f_{2} = \frac{f}{2}$

A resonant frequency of a circuit is f . If the capacitance is made four times the initial value, then the…