(i) Starting from the expression for the resonant frequency of a series LCR circuit,…
PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current
Problem
(i) Starting from the expression for the resonant frequency of a series LCR circuit, derive an expression for the fractional change f0Δf0 in terms of the fractional change LΔL when the capacitance is kept constant.
(ii) Using the result obtained, find the percentage change in f0 if the inductance increases by 3%.
(iii) If instead the capacitance were increased by 3% with L unchanged, what would be the percentage change in f0? Compare the two results and state which parameter the resonant frequency is more sensitive to.