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sal1234

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[Note from mentor: this was originally posted in a non-homework forum, so it does not use the homework template.]

There is a general relation between the

Now using this specific formula i would like to calculate the electrostatic energy of a Hollow conducting Sphere of Radius ''

WKT,

Now let us consider a spherical element of radius "r" and thickness "dr". The potential is uniform in this small element.The energy in this small element is

du = (1/2 )ρ φ dv

dv = area * thickness

dv = 4πr^2 * dr

du = (1/2 ) ρ (1/4πε0) Q/r dr

integerating from R to infinity in order to get the total energy

U =

But i am not able to get right answer.

There is a general relation between the

**work U**required to assemble a**charge distribution ρ**and the**potential φ(r)**of that distribution:**U = 1/2 ∫ ρ φ dv**Now using this specific formula i would like to calculate the electrostatic energy of a Hollow conducting Sphere of Radius ''

**R**'' which is given a Charge ''**Q**''.**MY ATTEMPT AT THE SOLUTION:**WKT,

**φ(r) = (1/4πε0)Q/r**For every r > R**ρ = Q/****4π****R^2**

Now let us consider a spherical element of radius "r" and thickness "dr". The potential is uniform in this small element.The energy in this small element is

du = (1/2 )ρ φ dv

dv = area * thickness

dv = 4πr^2 * dr

du = (1/2 ) ρ (1/4πε0) Q/r dr

integerating from R to infinity in order to get the total energy

U =

**∫**(1/2 ) ρ (1/4πε0) Q/r drBut i am not able to get right answer.

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