Find potential inside spherical shell

1. May 3, 2014

utkarshakash

1. The problem statement, all variables and given/known data
A conducting sphere of radius R has a charge Q. A particle carrying a charge q is placed a distance 2R from the sphere. Find the potential at point A located a distance R/2 from the center of the sphere on the line connecting the center of the sphere and particle q. Note that the charge distribution of the sphere is not symmetrical due to the influence of particle q

3. The attempt at a solution

The potential at point A will be equal to sum of potential due to sphere and charge 'q'.
Due to sphere, V= kQ/R
and due to charge, V= 2kq/5R

But this is not the correct answer.

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2. May 3, 2014

Tanya Sharma

The item in red is not correct .

3. May 3, 2014

projjal

Hint:the whole sphere is an equipotential region.

4. May 3, 2014

SammyS

Staff Emeritus
The reason that V= kQ/R is incorrect for the sphere is highlighted in RED above.

Use the concept of image charges .

5. May 3, 2014

utkarshakash

Will the potential at centre be equal to kQ/R due to sphere?

6. May 3, 2014

projjal

Yeah.

You also know the potential at centre due to charge q and wid that you get the answer.