Conceptual: Reasonant Frequency

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In an LRC series circuit, the resonant frequency is determined by the formula f = 1/(2π√(LC)). When both inductance (L) and capacitance (C) double, the new resonant frequency can be calculated using this formula. Doubling L and C results in the resonant frequency decreasing to 1/2 its original value. Understanding the relationship between L, C, and resonant frequency is crucial for solving this problem. The discussion emphasizes the importance of the resonant frequency formula in determining the effects of changes in inductance and capacitance.
BuBbLeS01
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Homework Statement


If the inductance and the capacitance both double in an LRC series circuit, the resonant frequency of the circuit will...
decrease to 1/4 its original value
decrease to 1/2 its original value
decrease to 1/8 its original value

Homework Equations





The Attempt at a Solution


I don't understand how to figure this out...
 
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Hi BuBbLeS01,

What is the formula for resonant frequency? That should guide you as to what happens when L and C change.
 

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