## Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m fr

Question

Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point P, which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. At what distance from the center of the sphere does the electric field have the same magnitude as it has at P?

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6 months 2021-07-19T00:49:11+00:00 1 Answers 99 views 0

The point that would have the same electric field as P is   from the center of the sphere.

Explanation:

From the question we are told that

The  radius of the sphere is

The Electric field at point P is

The distance of point P from the center is

Since the electric is directed radially outward it mean this it would be felt both inside and outside the sphere

The Electric field inside the sphere at a distance z is mathematically represented as

where k is the coulomb’s constant with a  value

q is the charge

The Electric field inside the sphere at a distance D  is mathematically represented as

To obtain the point of equal electric field

We have that

Substituting values