A solid nonconducting sphere of radius R carries a uniform charge density throughout its volume. At a radial distance R/4 from the center, the electric field has a magnitude E. What is the magnitude of the electric field at a radial distance R/2?

2E

Explanation:

The electric field inside a charged, nonconducting sphere is given by

(1)

where

k is the Coulomb's constant

Q is the total charge on the sphere

r is the distance from the centre of the sphere

R is the radius of the sphere

In this problem, the magnitude of the electric field at r = R/4 is E, so we can write:

Then, we want to calculate the magnitude of the electric field at a distance of

Substituting into (1), we find:

Therefore, the electric field at R/2 is twice the electric field at R/4.

the order for strong to weak forces such as

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force

the fundamental forces are those forces that act between to objects or element to make interactions. there are four types of fundamental forces such as strong and weak nuclear forces (due to protons and electrons), electromagnetic force (due to the motion of electrons) and gravitational force (due to orbital movement of the planet). if these forces are arranged on the basis of their maximum strength then the order is

strong nuclear force → electromegnetic force → weak nuclear force → gravitational force