- #1

- 55

- 0

## Homework Statement

A ground spherical conductor of radius a lies at the center of a uniform spherical sheet of charge Q

_{B}and radius b.

a) How much charge is induce on the conductor's surface? Ans(-Q

_{B}a/b)

Evaluate V(r) at position between the conductor and the sheet and outside the sheet

Ans[Q

_{B}(r-a)/4πε

_{0}br]

Ans (ii) [Q

_{B}(b-a)/4πε

_{0}br

## Homework Equations

E.dr=Q/ε

_{0}

E=σ/ε

_{0}

Total Charge on a sphere 4/3πr^3ρ

## The Attempt at a Solution

I know that

there is no electric field inside a conductor

charges exist only on the surface of a conductor

all points of a conductor are at the same potential

however the charge I'm getting on the conductor surface since there is a spherical charge sheet is dq=4πr^2drρ=3qr^2/R^3dr but that doesn't even come close to the answer

the second I would only get once I solve a, since V(x)=-∫E.dl

If I have the charge I know that EA=Q/ε

_{0}