Understanding Energy in RLC Circuits: Initial Conditions

In summary, the conversation discusses a circuit at resonance and how it affects the values of Xl, Xc, and R. It also mentions the formula for calculating the energy stored in an inductor and capacitor. The problem asks about the energy stored in the reactive elements when the current is zero and clarifies that t=0 does not necessarily mean the source was just turned on.
  • #1
CH1991
27
0

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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  • #2
It tells you that this circuit is at resonance. Do you know what this means about the values of Xl, Xc and R.
 
  • #3
Xl = Xc

R = R...
 
  • #4
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 !
 
  • #5
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
 
  • #6
thank you!
 

1. What is an RLC circuit?

An RLC circuit is a type of electrical circuit that consists of a resistor (R), inductor (L), and capacitor (C) connected in series or parallel. This type of circuit is commonly used in electronic devices and power systems.

2. What is the purpose of an RLC circuit?

The purpose of an RLC circuit is to regulate and control the flow of electrical energy. It can be used to filter out unwanted frequencies, amplify signals, or store energy for later use.

3. How does energy flow in an RLC circuit?

In an RLC circuit, energy moves back and forth between the capacitor and inductor, with the resistor limiting the amount of energy that can flow through the circuit. This creates a resonant frequency, where the circuit can store and release large amounts of energy.

4. What factors affect the energy in an RLC circuit?

The amount of energy in an RLC circuit is affected by the values of the components (resistor, inductor, and capacitor), the frequency of the input signal, and the quality factor (Q) of the circuit. The Q factor determines how efficiently the circuit can store and release energy.

5. How is energy dissipated in an RLC circuit?

Energy in an RLC circuit is dissipated through the resistor as heat. This is known as resistive loss or damping. The amount of energy dissipated is determined by the resistance of the circuit, and can be reduced by using components with lower resistance values.

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