For a solid uniformly charged sphere of radius R,calculate the electric field at a distance R/2 outside the sphere,divided by the electric field at a distance R/2 inside the sphere.
A)9/8
B)infinity
C)2.0
D)8.0
E)8/9

Question

Quizplus · Accepted Answer

Using Gauss's law, we can find that the electric field inside the sphere is given by:
E_inside = (1/3ε0) * (Q/R^3) * r^2, where Q is the total charge of the sphere and r is the distance from the center.

Similarly, the electric field outside the sphere is given by:
E_outside = (1/4πε0) * (Q/R^2) * (R^3/r^2), where Q is the total charge of the sphere, R is the radius of the sphere and r is the distance from the center.

Substituting r = R/2, we get:
E_inside = (2/27) * E_outside

Dividing the electric field outside the sphere by the electric field inside the sphere will give:
E_outside/E_inside = 27/2 = 8/9

Therefore, the best answer is E) 8/9.

For a Solid Uniformly Charged Sphere of Radius R,calculate the Electric