In an L-C-R circuit, the capacitance is changed from C to 4 C . For the same resonant frequency, the inductance should be changed from L to

Step-by-step solution

In L-C-R circuit, Resonant frequency, f₀= 1 2 L C When, C^ =4 C , then resonant frequency is given as aligned f^ ₀^ & = 1 2 L^ C^ & = 1 2 L^ 4 C = 1 4 L^ C aligned According to question, aligned & f₀=f^ ₀ & 1 2 L C = 1 4 L^ C & 1 L C = 1 2 L^ C 1 L C = 1 4 L^ C & 4 L^ =L L^ = L 4 & aligned