If the angular frequency of the generator exceeds 1/sqrt(LC)

Thread starter Luke Cohen
Start date Jul 27, 2015
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Angular Angular frequency Frequency Generator

AI Thread Summary

If the angular frequency of the generator exceeds 1/sqrt(LC), the average energy stored in the inductor is indeed greater than that stored in the capacitor. This is based on the relationship between angular frequency, inductance, and capacitance in an LC circuit. The derivation involves calculating the average energy stored in both components using their respective formulas. As the frequency increases, the energy dynamics shift, leading to a higher energy storage in the inductor compared to the capacitor. Understanding these principles is crucial for analyzing LC circuits in electrical engineering.

Jul 27, 2015

Luke Cohen

Homework Statement

If the angular frequency of the generator exceeds 1/sqrt(LC), the average energy stored in the inductor is greater than the average energy stored in the capacitor.

True of False?

Can someone explain to me the derivation of this answer?

Homework Equations

The Attempt at a Solution

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Jul 28, 2015

BvU

Science Advisor

Homework Helper

Yes: write down the equations for the average energy stored in the devices

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