Resonant Frequency
The resonant frequency is the frequency of a resonant circuit. The other name of the resonance circuit is a tank circuit of LC circuit. The resonant circuit consist of a parallel-connected capacitor and inductor in it. Resonant circuit is mainly used to generate a specific frequency or to consider a specific frequency from the complicated circuit a resonant circuit is being used. The formula of resonant frequency is
Where
fo = resonant frequency in Hz
L = Inductance
C = Capacitance
Solved Examples
Example 1: Determine the resonant frequency of a circuit whose inductance is 35mH and capacitance is 10μF?
Answer:
Given
L = 35mH and
C = 10μF
The resonant frequency formula
f0 = 269.16 Hz
Example 2: The capacitance and inductance of a resonant circuit are given as 0.5F and 1H. Calculate the resonant frequency of the circuit?
Answer:
Given
L = 1H and
C = 0.5F
The formula for resonant frequency is
f0 = 0.2251Hz
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