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.
Zero, because the electric field inside a charged hollow sphere is zero. This is due to the Gauss's law and symmetry of the charged hollow sphere, which results in no net electric field inside the sphere.
The electric field inside a charged hollow sphere is zero because the net contribution from the charges on the inner surface of the sphere cancels out due to symmetry. This means that the field created by the positive charges is equal and opposite to the field created by the negative charges, resulting in a net field of zero inside the sphere.
Inside a hollow charged sphere, the electric potential is constant and zero throughout the interior of the sphere. This is because the electric field due to the charges on the outer surface cancels out within the hollow region, resulting in no work done on a test charge to move it within the hollow sphere.
The electric field intensity at the center of a hollow charged sphere is zero. This is because the electric field created by the positive charges on one side of the sphere cancels out the electric field created by the negative charges on the other side, resulting in a net electric field of zero at the center.
No, the electric field being zero inside a hollow uniformly charged sphere does not necessarily imply that the potential is zero inside. The potential depends on the location of the reference point used to calculate it. If the reference point is chosen at infinity, the potential inside a hollow sphere will not be zero.
Zero, because the electric field inside a charged hollow sphere is zero. This is due to the Gauss's law and symmetry of the charged hollow sphere, which results in no net electric field inside the sphere.
The electric field inside a charged hollow sphere is zero because the net contribution from the charges on the inner surface of the sphere cancels out due to symmetry. This means that the field created by the positive charges is equal and opposite to the field created by the negative charges, resulting in a net field of zero inside the sphere.
The electric field halfway to the center of a conducting sphere with a charge of 15V would be zero. Inside a conducting sphere, the electric field is zero because charges distribute themselves in such a way that cancels out the field in the interior of the sphere.
Inside a hollow charged sphere, the electric potential is constant and zero throughout the interior of the sphere. This is because the electric field due to the charges on the outer surface cancels out within the hollow region, resulting in no work done on a test charge to move it within the hollow sphere.
The electric field intensity at the center of a hollow charged sphere is zero. This is because the electric field created by the positive charges on one side of the sphere cancels out the electric field created by the negative charges on the other side, resulting in a net electric field of zero at the center.
No, the electric field being zero inside a hollow uniformly charged sphere does not necessarily imply that the potential is zero inside. The potential depends on the location of the reference point used to calculate it. If the reference point is chosen at infinity, the potential inside a hollow sphere will not be zero.
That region is called the electric field. It is a vector field that describes the influence a charged object has on other charged objects in its vicinity.
Inside a charged insulator, the electric field is 0, as charges cannot move freely in insulators. Outside the insulator, the electric field behaves as if all the charge is concentrated at the center of the insulator.
Inside a conductor, it's zero.
The pith balls will be attracted to the charged sphere due to the electric field it creates. This will cause the pith balls to move towards the sphere until they reach equilibrium where the electric forces are balanced by gravity.
The electric field on the surface of a conductor is zero in electrostatic equilibrium. This is due to the fact that charges inside the conductor rearrange themselves such that the net electric field inside the conductor is zero. This causes any external electric field to be canceled out at the surface of the conductor.
A uniformly charged spherical shell will have a constant electric field inside the shell and zero electric field in the hollow region. Additionally, the electric potential on the surface of the shell is constant and only dependent on the total charge and radius of the shell.