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Sagot :
The resonance frequency will remain the same if the capacitor value is doubled and, at the same time, the inductor value is halved.
The resonant frequency is a term used to describe the oscillation of a system at its natural or unforced resonance.
In an LC circuit, the resonance frequency can be determined by the following equation;
ω = 1 / √LC
Here L represents the inductor value and C illustrates the value of the capacitance.
If the capacitance is doubled, C'=2C, and the inductance is halved, L'=L/2, then;
ω = 1 / √L'C'
ω = 1 / √(L/2) × (2C) = 1 / √LC = ω
Therefore the frequency of resonance is equal to the original value.
To learn more about resonance frequency; click here:
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