How much energy is dissipated by the 25 ohm resistor?

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Homework Help Overview

The problem involves a capacitor discharging through two resistors, specifically focusing on the energy dissipated by a 25 ohm resistor. The subject area pertains to electrical circuits and energy conservation principles.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the initial energy stored in the capacitor and how it dissipates through the resistors in series. There is mention of using power formulas related to current and resistance, as well as the formula for charge stored in a capacitor.

Discussion Status

Some participants have provided guidance on considering energy conservation and the relationship between charge, voltage, and energy stored in the capacitor. Multiple interpretations of how to calculate the energy dissipated are being explored, but no consensus has been reached.

Contextual Notes

There is a potential misunderstanding regarding the distinction between charge and energy, as well as the appropriate formulas to use for calculating energy in this context.

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Question:

A 0.25 x 10^-6 F capacitor is charged to 50V. It is then connected in series with a 25 ohm resistor and a 100 ohm resistor and alowed to discharge completely. How much energy is dissipated by the 25 ohm resistor ?


Attempt:

I found a formula in the textbook related to this question:

The resistors dissipate energy at the rate:

PR = I^2R = (Delta V)^2 / R


I don't know what to do next ... and if I'm using the right formula. Please somebody help.:confused: :confused: :confused:
 
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ok... conservation of energy
ask yourself, how much energy was stored in capacitor initially, then how do u think the energy are dissipated between the 25 and 100 ohm resistor? remember everything is in series... and you already have [tex]P=I^2 R[/tex]
 
mjsd said:
ok... conservation of energy
ask yourself, how much energy was stored in capacitor initially, then how do u think the energy are dissipated between the 25 and 100 ohm resistor? remember everything is in series... and you already have [tex]P=I^2 R[/tex]

Hi, Do you calculate the energy by this formula;

Q=CV
Q= (0.25 * 10^-6) ( 50)
Q = 0.0000125 C
 
ada15 said:
Hi, Do you calculate the energy by this formula;

Q=CV
Q= (0.25 * 10^-6) ( 50)
Q = 0.0000125 C

Your Q means "charge" not energy

formula for energy stored in a capacitor is given in most books or can easily googled...
[tex]\displaymath{U = \frac{1}{2}CV^2}[/tex]
 

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