An insulating sphere of radius a, centered at the origin, has a uniform volume charge density ρ. part a find the electric field e⃗ (r⃗ ) inside the sphere (for r< a. in terms of the position vector r⃗ . express your answer in terms of r⃗ , ρ (greek letter rho), and ϵ0. hints

The electric field is in the inner area.

Given to us

Insulating sphere radius = a,

Uniform volume charge density = ρ,

We know that according to the Gauss Law,

,

We know that to know that the charge is enclosed or not,

Substitute the above equation against each other,

Hence, the electric field is in the inner area.

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As per Gauss law we can say

now here in order to find the enclosed charge

now from the above equation

so above is the electric field in this inner position