An electronics manufacturer specifies an inductor as with a tolerance of and a…
PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current
Problem
An electronics manufacturer specifies an inductor as L=50mH with a tolerance of ±5% and a capacitor as C=200nF with a tolerance of ±2%.
For a series LC circuit built with one such inductor and one such capacitor, answer the following:
(i) Starting from the standard expression for the resonant frequency of an LC circuit, derive a relationship that shows how the fractional change in resonant frequency depends on the fractional changes in L and C. (Use differentials or percentage errors as appropriate.)
(ii) Using the tolerances given, calculate the minimum and maximum possible values of the resonant frequency. State each value in kHz correct to three significant figures.