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Resonant Frequency

06/02/2025

In a series circuit, the resonant frequency condition occurs when the inductive reactance equals the capacitive reactance. Changing the supply frequency alters the values of X_L = 2πfL and X_C = 1/2πfC.As the frequency increases, $X L$ rises while $X C$ falls. Conversely, a decrease in frequency causes $X L$ to drop and $X C$ to rise.To achieve series resonance, the frequency is tuned to $f r$ (point $P$ in the curve below), where $X L = X C$ .

At series resonance, when X_L = X_C

Where

fr

denotes the resonant frequency in hertz, with inductance

L

measured in henries and capacitance

C

in farads.

Topics

Basic Physics Articles

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