- #1

Redfire66

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## Homework Statement

So I was given the equation that in a sphere, if at a distance r outisde a sphere of radius R (The sphere insulated, I guess it matters since it would prevent charge to leave?)

The electric field E = kqR/r^3

I'm not sure how they got this

## Homework Equations

Flux = Integral of E *delta A

Flux = total charge/epsilon0

(Density was used which I ended up using to go in circles)

p = q/V

## The Attempt at a Solution

So I started off, please correct me if I get anything wrong

Flux = integral of E deltaA = E*4piR^2

I think it should use the full radius of the sphere here. But I hope you can explain if this is correct and why

Then Flux is also equal to q/epsilon0

q = p/V where V = 4/3 pi*r^3

In the end I ended up with E*4piR^2 = p4/3(pi)r^3/epsilon

Then when I look at the answer it shows that r^3 is on the bottom so I'm kind of stuck here.

I'd appreciate it if you could explain how this all works instead of just giving a solution with no explanation

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