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Harmonic Resonance Frequency
Statistics - Harmonic Resonance Frequency
Harmonic Resonance Frequency represents a signal or wave whose frequency is an integral multiple of the frequency of a reference signal or wave.
Formula
${ f = frac{1}{2 pi sqrt{LC}} } $
Where −
${f}$ = Harmonic resonance frequency.
${L}$ = inductance of the load.
${C}$ = capacitanc of the load.
Example
Calculate the harmonic resonance frequency of a power system with the capcitance 5F, Inductance 6H and frequency 200Hz.
Solution:
Here capacitance, C is 5F. Inductance, L is 6H. Frequency, f is 200Hz. Using harmonic resonance frequency formula, let s compute the resonance frequency as:
${ f = frac{1}{2 pi sqrt{LC}} \[7pt] imppes f = frac{1}{2 pi sqrt{6 imes 5}} \[7pt] , = frac{1}{2 imes 3.14 imes sqrt{30}} \[7pt] , = frac{1}{ 6.28 imes 5.4772 } \[7pt] , = frac{1}{ 34.3968 } \[7pt] , = 0.0291 }$
Thus harmonic resonance frequency is $ { 0.0291 }$.
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