Question

A solid non-conducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance r₁ = R/2 from the center, the electric field has a magnitude E₀. What is the magnitude of the electric field at a radial distance r₂ = 3R?

Answer 1

apply time period T = 2piR/V

where here V = sqrt(GM/R)

electric field at a point outside the sphere E = KQ/r^2

here r = 3R

so

E = KQ/9R^2

as Eo = 4KQ/R^2

KQ/R^2 = E0/4

so

ENew = Eo/(4*9)

Enew = Eo/36

Answer 2

We can use Gauss

Answer 3

electkie tela, g thcough aSpherc Iven That flu ausslan Eo Incide the sphere at xn,, dhe Held will be Outside the sphere at n, he eld will hare magnitude 21Eo since all the chonge is rhuilde a