A non-conducting solid sphere has volume charge density that varies as `rho=rho_(0)` r, where `rho_(0)` is a constant and r is distance from centre. Find out electric field intensities at following positions.
(i) `r lt R" "`(ii) `r ge R`

Explanation

To find the electric field intensity at different positions in a non-conducting solid sphere with a volume charge density that varies as \(\rho = \rho_0 r\), where \(\rho_0\) is a constant and \(r\) is the distance from the center, we will use Gauss's law. We will consider two cases: (i) when \(r < R\) (inside the sphere) and (ii) when \(r \geq R\) (outside the sphere).

### Step-by-Step Solution:

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

1. **Identify the Charge Density**:
The volume charge density is given as \(\rho = \rho_0 r\).
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