Does the resonant frequency of an AC circuit depend on the peak voltage of the AC source? Explain why or why not.

Short Answer

Expert verified

The resonant frequency is the frequency at which the circuit would oscillate if the voltage source were not there, and it is independent of the peak voltage.

Step by step solution

01

Definition of frequency and voltage

The number of times a repeated event occurs per unit of time is known as frequency. It's also referred to as temporal frequency to distinguish it from spatial frequency, and ordinary frequency to distinguish it from angular frequency.

The difference in electric potential between two points, also known as voltage, electric potential difference, electric pressure, or electric tension, is defined as the work required per unit of charge to move a test charge between the two points.

02

Explanation

The peak voltage of the AC source has no bearing on the resonant frequency of an AC circuit. The circuit's natural frequency is the frequency at which it would oscillate if it were not pushed by the source.

In addition, the resonant frequency formula is:

\({f_0} = \frac{1}{{2\pi \sqrt {{\rm{LC}}} }}\)

And neither L nor C depends on the peak voltage.

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