A charge `+Q`, is uniformaly distributed within a sphere of radius R. Find the electric field, due to this charge distribution, at a point distant r form the centre of the spehre where :
(i) ` 0 lt r lt R` and
`(ii) r gt R`

Explanation

To solve the problem of finding the electric field due to a uniformly distributed charge \( +Q \) within a sphere of radius \( R \) at a point a distance \( r \) from the center of the sphere, we will analyze two cases:

### Case (i): \( 0 < r < R \)

1. **Identify the Charge Density**:
The charge density \( \rho \) can be calculated using the formula:
\[
\rho = \frac{Q}{\text{Volume of the sphere}} = \frac{Q}{\frac{4}{3} \pi R^3}
...