A sphere of radius R carries a charge density kr(where k is a constant!).What will be the energy of the Configuration??
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.
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.!
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