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Energy of Configuration

by heman
Tags: configuration, energy
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heman
#1
Aug22-05, 10:57 AM
P: 354
A sphere of radius R carries a charge density kr(where k is a constant!).What will be the energy of the Configuration??
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Meir Achuz
#2
Aug22-05, 11:36 AM
Sci Advisor
HW Helper
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P: 2,015
1. Find the potential phi(r) inside the sphere.
2. Integrate rho*phi/2 over the volume of the sphere.
3. The algebra is a bit complicated. I get 35pi^2k^2R^7/72, but check me for errors.
heman
#3
Aug22-05, 11:39 AM
P: 354
Gentleman,Why won't will be find the Potential outside the sphere..
I am very much perplexed with this Energy term..This is interaction energy
Pls help logically,i can do the maths involved.!!
Pls explain the origin of energy and i think we will integrate over whole space...but i don't have clear idea.!

heman
#4
Aug22-05, 12:07 PM
P: 354
Energy of Configuration

Quote Quote by Meir Achuz
1. Find the potential phi(r) inside the sphere.
2. Integrate rho*phi/2 over the volume of the sphere.
3. The algebra is a bit complicated. I get 35pi^2k^2R^7/72, but check me for errors.

Well i got the solution as 4pi*k^2*R^7/21*epsilon!!
I don't know whether you are correct or me!
mukundpa
#5
Aug22-05, 12:52 PM
HW Helper
P: 505
The energy is due to the work done in configuring the sphere. Consider the sphere of radius r, and add a layer of thickness dr. Calculate the work dw is required to put this layer of charge. Integrate the work dw over the radius 0 to R. This will be the energy of the configuration


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