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.

Learn more about Gauss law:

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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

the answer is to check all of them! they all apply well at least i think so!