# How to calculate resonance frequency

Written by rick paulas
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The resonance frequency of something is the frequency at which an object moves when an outside stimulus is applied to the object. For example, if you tug at a taut wire for a moment, the resonance frequency is how quickly the wire is vibrating back and force. To find the resonance frequency of something you must know the capacitance (the elasticity of the object) and the inductance (the amount of energy applied to the object).

Skill level:
Moderate

• Calculator
• LCR meter

## Instructions

1. 1

Multiply the Inductance by the Capacitance. (To find both the Inductance and Capacitance, use a LCR meter.) Inductance should be entered into the equation by using the unit picohenry, which is abbreviated uh. Capacitance should be entered using the unit picofarad, which is abbreviated pF. (For example, if the Inductance is 2 uh and the Capacitance is 3 pF, then you are multiplying 2 times 3 to get 6.)

2. 2

Divide the answer to step 1 by 1000. (In our example, that means dividing 6 by 1000, which equals .006.)

3. 3

Find the square root of the answer to step 2. (In our example, the square root of .006 equals .077459.)

4. 4

Multiply 2 times pi (3.14159) times the answer to step 3. (In our example, 2 times pi times .077459 equals 0.4873410444.)

5. 5

Divide 1 by the answer to step 4 to find the resonance frequency. (In our example 1 divided by .4873410444 equals 2.051951, which is the resonance frequency of the object.)

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