(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

See figure attached.

2. Relevant equations

3. The attempt at a solution

I'm extremely confused.

For r<1,

The total charge enclosed should always be,

[itex] \rho \frac{4}{3\epsilon_{0} \epsilon_{r}} \pi r^{3} = \oint _{S} \vec{E} \cdot \vec{dA} = I[/itex]

The electric field will disperse radially out of the sphere, in the same direction as [itex]\vec{dA}[/itex] so,

[itex]I = E\oint_{S} dA = 4\pi r^{2}E[/itex]

Thus,

[itex]E = \frac{\rho r}{3 \epsilon_{0} \epsilon_{r}}[/itex]

I'm confused about what is suppose to change in the region r > 1 ?

Can someone explain?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Gauss's Law, Sphere (Electric Field

**Physics Forums | Science Articles, Homework Help, Discussion**