- #1
jegues
- 1,097
- 3
Homework Statement
See figure attached.
Homework Equations
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?