Energy loss, stopping power equation,

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Homework Help Overview

The discussion revolves around estimating the energy loss of electrons before they reach a detector, specifically using the concept of stopping power in particle physics. The original poster expresses uncertainty about integrating the stopping power function to calculate energy loss.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between stopping power and energy loss, with the original poster attempting to integrate the stopping power function. Questions arise regarding the correct formulation of the integral and the implications of including the differential element dx.

Discussion Status

Some participants provide clarifications on the integration process and the dependence of stopping power on various factors. There is an ongoing exploration of the mathematical formulation, but no explicit consensus has been reached regarding the solution.

Contextual Notes

Participants note that the stopping power is influenced by the energy of the particle and the medium it traverses, suggesting that a specific model may be necessary for a complete solution.

m3h
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Homework Statement



I need to estimate the energy loss of electrons before they reach a detector, but I am unsure how to do it. I think I am supposed to integrate the stopping power function over the total distance but I can't solve the equation...

Homework Equations



Stopping power=-dE/dx

Energy loss=∫-dE/dx (I think)

The Attempt at a Solution



Is the solution - e*x?

Any help is appreciated!
 
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m3h said:
Stopping power=-dE/dx

Energy loss=∫-dE/dx (I think)
That is the stopping power, but for the energy loss, you've forgotten to write dx, to show what variable you are integrating over. And about the solution, the stopping power will depend on the energy of the particle, and the medium its going through, etc, so you'll need to use a particular model to find a solution. This might be useful: http://en.wikipedia.org/wiki/Stopping_power_(particle_radiation )
 
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Yes. that's the article I first looked at, specifically "The deposited energy can be obtained by integrating the stopping power over the entire path length of the ion when it moves in the solid."

When you said I needed to add dx, did you mean I should write ∫(dE/dx)dx? Doesn't dx disappear then?

Shouldn't it be enough to solve the diff equation above?
 
m3h said:
When you said I needed to add dx, did you mean I should write ∫(dE/dx)dx? Doesn't dx disappear then?

Shouldn't it be enough to solve the diff equation above?

Yes, you should write it like that. The idea is that you know something about dE/dx, so then you integrate it to get the change in energy.
And you're right that you could make the dx disappear, which just tells us that the change in energy is equal to the change in energy (as we would expect).
 
Ok, thank you. I think I know what to do now.

Thanks for the help!
 
yep, glad if I've helped a bit
 

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