- #1
Kosta1234
- 46
- 1
- Homework Statement
- conductive and grounded shells
- Relevant Equations
- ## E\cdot dS = \frac {q}{\epsilon_0} ##
Problem Statement: conductive and grounded shells
Relevant Equations: ## E\cdot dS = \frac {q}{\epsilon_0} ##
Hi.
I'll be glad if you can help me with this question.I've two conductive and grounded shells with radius 'a' and radius 'b' with their center on the same point.
And another conductive (But not grounded) shell with radius R (a<R<b) and charge density ## \sigma ##. I'm asked to figure out what is the potential in space and the charge distribution on the grounded shells.So my way to solution was first to figure out what is the potential in space is using gaus law.
so where ## r < a ## the Electric field is zero therefore the potential in ## r < a ## is constant and because of the potential on the edge is zero so ## V_{r<a} = 0 ##.
When I'm moving to ## R < r < a ##, (between the grounded conductive shell and the conductive shell) . I'm in a little bit in a trouble here.
grounding the shell will bring the potential to be to zero, and will make not trivial charge distribution on it, but does that mean that in TOTAL all the charge is zero on the conductive grounded shell? So that I could use gaus law here again, and in this way I get that ##E\vec = 0## in ## R < r < a ## as well?
thanks.
Relevant Equations: ## E\cdot dS = \frac {q}{\epsilon_0} ##
Hi.
I'll be glad if you can help me with this question.I've two conductive and grounded shells with radius 'a' and radius 'b' with their center on the same point.
And another conductive (But not grounded) shell with radius R (a<R<b) and charge density ## \sigma ##. I'm asked to figure out what is the potential in space and the charge distribution on the grounded shells.So my way to solution was first to figure out what is the potential in space is using gaus law.
so where ## r < a ## the Electric field is zero therefore the potential in ## r < a ## is constant and because of the potential on the edge is zero so ## V_{r<a} = 0 ##.
When I'm moving to ## R < r < a ##, (between the grounded conductive shell and the conductive shell) . I'm in a little bit in a trouble here.
grounding the shell will bring the potential to be to zero, and will make not trivial charge distribution on it, but does that mean that in TOTAL all the charge is zero on the conductive grounded shell? So that I could use gaus law here again, and in this way I get that ##E\vec = 0## in ## R < r < a ## as well?
thanks.