- #1
Terocamo
- 47
- 0
Homework Statement
There is a Charged metal sphere with radius b placed inside the central of a ground metallic shell with a radius a. What will be the work done in bring a small positive charge q from infinity to the surface of the inner sphere?
Homework Equations
[tex]\emph{V=}\frac{qQ}{4r\pi\epsilon}[/tex]
The Attempt at a Solution
What i think is that if the outer shell is earthed, than i will have 0V potential, and an infinite object also have 0V so there is no work done to bring a charged object q from infinite far to the outer shell, so what left is the potential of the inner sphere which is
[tex]\emph{V=}\frac{qQ}{4b\pi\epsilon}[/tex]
However, the solution manual mentioned there is induced charge induced on the outher shell and thus, its produce a potential [tex]\emph{V=}\frac{-qQ}{4a\pi\epsilon}[/tex].
What bothers me is if the shell is grounded, how can there be any potential?
Attachments
Last edited: