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

e

Explanation:

From the given information:

Suppose Q = total charge of the sphere.

here, the electric field outside the sphere at distance R/2 can be expressed as:

where:

For the electric field inside the sphere, we have:

here:

r = distance of the point from the center = R/2

R = radius of the sphere

∴

As such, the ratio of the electric field outside the sphere to the one inside is:

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