Resonant Frequency Formula

The resonant frequency is the frequency at which an oscillating system will vibrate if some outside force or damping did not act upon it. At this particular frequency, then, the system can respond with maximum amplitude to any outside driving force.

The form of resonant frequency is determined by what system it is: mass-spring system (mechanical system), or an RLC circuit (electrical circuit).

Formula

Where,

• fo = resonant frequency in Hz

• L = Inductance

• C = Capacitance

Solved Problems

Problem 1: Find 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

   fo = 269.16Hz

Problem 2: The capacitance and inductance of a resonant circuit are  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

 

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