What is electric field inside charged metal sphere?

Answer 1

Zero. By Gauss' or Coulomb's law - eclectic field inside a conductor or a charged empty shell is always zero. If there were a field inside a sphere it would never be able to reach equilibrium with itself.

Answer 2

Gauss's Law states that the magnitude of electric field within a non-uniform, charged

sphere is zero. This is because the divergence of the field is zero (if, as you go outward

from the center, yet beneath the surface of the sphere, you test the field strength, you will

find that the charges directed toward the center and pointing outward all balance out exactly).

However, at the surface of the sphere, the only field vectors present at those pointing

outward, making the surface of the sphere the only non-zero electric field intensity.

In all cases, if you have a uniformly-charged sphere with source charge placed in the center, then the symmetry based on electric field flux at each radius, moving outward in infinitesimal volumes, cancels out. This symmetry makes the NET electric field magnitude at each point within the sphere exactly zero. This is taken exactly from Gauss's Law and the divergence of the electric field vectors throughout the sphere, based on infinitesimal radii.

On the surface of the sphere, however, you can expect the total charge, Q, to the present.

Answer 3

The electric field inside a charged metal sphere is zero. This is due to the property of conductors which allows charges to redistribute themselves on the surface, leading to the cancellation of the electric field inside the sphere.