The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of magnitude 890 n/c and points radially toward the center of the sphere. what is the net charge in nano coulomb within the sphere’s surface?

55.6 nC

Explanation:

The electric field at the surface of a charged sphere has the same expression of the electric field produced by a single point charge located at the centre of the sphere and having the same charge of the sphere, so it is given by

where

is the Coulomb's constant

Q is the charge on the sphere

r is the radius of the sphere

In this problem we know

E = 890 N/C is the magnitude of the electric field on the sphere

r = 0.750 m is the radius of the sphere

So by re-arranging the equation we can find the net charge on the sphere: