The electric field for the nonconducting sphere of radius r₀ carries a total charge q distributed uniformly throughout its volume will be,[tex]E=kQ\frac{r}{r_0^3}[/tex].
It is a physical field occupied by a charged particle on another particle in its surrounding.
For a non-conducting sphere, the charge density is;
[tex]\rm \rho = \frac{q}{V} \\\\ \rho = \frac{Q}{\frac{4}{3}\pi r^3 } \\\\ \rho = \frac{3Q}{4 \pi r_0^3} \\\\[/tex]
The electric field is found as;
[tex]\rm E=K \frac{\rho V}{r^2} \\\\ E= k \frac{3Q \times 4 \pi r^3}{4 \pi r_0^3 \times 3r^2} \\\\ E=kQ\frac{r}{r_0^3}[/tex]
Hence, the electric field for the nonconducting sphere of radius r₀ carries a total charge q distributed uniformly throughout its volume will be,[tex]E=kQ\frac{r}{r_0^3}[/tex].
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