Answer to Question #211527 in Electricity and Magnetism for Rocky Valmores

Question

Use Gauss’s law to find the electric field inside a uniform charged sphere (ρ).

Answer 1

We know that

Electric flux

$\phi=E.A=EAcos\theta$

$\theta=0°$

$\phi=E.A$

We know that

$E .A=\frac{Q}{\epsilon_0}$

$E(4\pi r^2)=\frac{Q}{\epsilon_0}$

$E_{out}=\frac{Q}{4\pi r^2\epsilon_0}=\frac{kQ}{r^2}$ (r>R)

When( r<R)

Total given charge distributed along the sphere surface

Then conducting sphere innerside charge is zero

$E_{in}=0$ r<R

When Q=0

$E_{in}=0$