Show that, for small changes, the fractional change in the resonant frequency of an…

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Show that, for small changes, the fractional change in the resonant frequency of an LC tuning circuit is related to the fractional change in capacitance by Δff=−12 ΔCC.\frac{\Delta f}{f} = -\frac{1}{2}\,\frac{\Delta C}{C}.

Related theory

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