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## Homework Statement

A conducting sphere with radius

*R*is charged to voltage

*V*0 (relative to a point an infinite distance from the sphere where the potential is zero). What is the surface charge density

*σ*? Express your answer in terms of the given quantities and

*ϵ*0.

## Homework Equations

Electric field on a sphere, E=(1/4π

*ϵ*0)*(Q/r^2)

Surface charge density:

*σ=Q/A, where Q is the charge and A is the area of the surface.*

A for a sphere: A=4πr^2

A for a sphere: A=4πr^2

## The Attempt at a Solution

I need to find

*σ and I have Q in two of the equations I replaced A with the area of a sphere, so I get*

*σ=Q/4**πr^2*

Then I solved for Q from this, so I have Q=Then I solved for Q from this, so I have Q=

*σ**4**πr^2, now I substitute this into the first equation and solve for**σ, so now I have, E=(1/**but this is not the correct answers. Does E=V0?**4**π**ϵ*0r^2)*(*σ**4**πr^2/r^2), this gives me E***ϵ*0,