In an LCR circuit, the capacitance is changed from $C$ to 2C. For the resomant frequency to remain u

Question

In an LCR circuit, the capacitance is changed from $C$ to 2C. For the resomant frequency to remain unchanged, the inductance should be changed from $L$ to

Professor PC Thomas Classes · Answer

Resonant frequency $\omega = \frac{1}{\sqrt{LC}}$. If $C \rightarrow 2C$, $L$ must become $L/2$ to maintain product.