Electric field of a spherical metal shell

[baker265]

Homework Statement

A spherical metal shell has charge per unit area sigma and radius R. What is the magnitude of the electric field at a distance x from the surface of the sphere? You may include only these variables in your formula: sigma, R, epsilon_0, x

Homework Equations

σ=Q/(4*pi*R^2)
k=1/(4*pi*epsilon_0)

The Attempt at a Solution

(4*pi*k*R*σ)/((R+x)^2)

 

[SammyS]

Homework Statement

A spherical metal shell has charge per unit area sigma and radius R. What is the magnitude of the electric field at a distance x from the surface of the sphere? You may include only these variables in your formula: sigma, R, epsilon_0, x

Homework Equations

σ=Q/(4*pi*R^2)
k=1/(4*pi*epsilon_0)

The Attempt at a Solution

(4*pi*k*R*σ)/((R+x)^2)

That looks good, but I think the problem calls for you to use ε₀ rather than k .

 

[Simon Bridge]

Cool! Was there a question in there?

Note:
Your reasoning and working is usually helpful to answering questions.
The permittivity of free space is an allowed "variable" but it is actually a constant ...
I take it you used k to save typing?