Understanding Energy in RLC Circuits: Initial Conditions

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Homework Help Overview

The discussion revolves around understanding energy in RLC circuits, particularly at resonance and initial conditions. Participants are examining the implications of resonance on circuit behavior and energy storage in inductors and capacitors.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants question the initial energy state of the circuit, while others discuss the relationship between reactance and resistance at resonance. There are inquiries about the meaning of resonance and its effects on voltage and current in the circuit.

Discussion Status

The discussion is active, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the implications of resonance and the energy stored in reactive components, though there is no explicit consensus on the original question's clarity.

Contextual Notes

Participants note that the problem involves understanding energy storage when the current is zero and that the generator voltage may have been constant prior to the measurement time. There is also mention of needing specific formulas for energy storage in inductors and capacitors.

CH1991
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Homework Statement



Please check picture

http://i.imgur.com/YMQBR.png

YMQBR.png


Homework Equations





The Attempt at a Solution



Shouldn't all the energy be 0 at beginning?
Thanks!
 

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It tells you that this circuit is at resonance. Do you know what this means about the values of Xl, Xc and R.
 
Xl = Xc

R = R...
 
The question doesn't make much sense!
It is at resonance and that means:
1) Xl = Xc
2) Supply voltage and current are in phase
3) Supply voltage is the voltage across R
4) The power is dissipated in R
This means that you can calculate the value of R. You are given the resonant frequency so you can calculate Xc and therefore Xl.
I don't understand what they are asking !
 
The problem asks about the energy stored in the inductor and in the capacitor, when the current is zero, so the voltage across the reactive elements is of maximum magnitude. You need the formula for the energy stored in an inductor and in a capacitor.
t=0 does not mean that the source was switched on at that instant. The generator voltage has been the same before we started to measure time.

ehild
 
thank you!
 

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