Why is the potential inside a hollow spherical constant?

Electric field intensity is zero inside the hollow spherical charged conductor. So, no work is done in moving a test charge inside the conductor and on its surface. Therefore, there is no potential difference between any two points inside or on the surface of the conductor.

Why is the electric potential inside a sphere constant?

When a conductor is at equilibrium, the electric field inside it is constrained to be zero. Since the electric field is equal to the rate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.

Why is the potential inside a hollow spherical charged conductor and has the same value as on its surface?

Electric field inside the shell is zero. So no work is done in moving a charge inside the shell. This implies that potential is constant, and therefore equal to its value at the surface i.e.

Why must the electrostatic potential inside a hollow charged conductor?

The potential difference between the shells depends on charge of inner shell. Reason: Potential due to charge of outer shell remains same at every point inside the sphere.

What is the electric potential inside a hollow sphere?

According to Gauss’s Law, since there is no charge inside of an hollow object, the electric field inside would be zero, even if it were an insulator. Therefore, the potential difference would be zero.

Why is electric field inside hollow sphere zero?

Hi, According to Gaussian’s law the electric field inside a charged hollow sphere is Zero. This is because the charges resides on the surface of a charged sphere and not inside it and thus the charge enclosed by the guassian surface is Zero and hence the electric field is also Zero.

What is the electric potential at any point in a hollow sphere?

The electric potential is same at any point because the electric inside the charged hollow sphere is zero . Electric field E = – gradient( V) V = electric potential at any point .

Why is the potential constant at the surface of a sphere?

Therefore the potential is the same as that of a point charge: The electric field inside a conducting sphere is zero, so the potential remains constant at the value it reaches at the surface:

How do electric field lines travel through a hollow sphere?

Electric field lines go from areas of high potential (=) to lower potential (maybe -). An electric field line going across the inside of hollow sphere must be going from high potential to low. The sphere is a conductor. there is a potential difference across the conductor so a current will flow.

What is Gauss’ law of electric potential?

The use of Gauss’ lawto examine the electric fieldof a charged sphere shows that the electric field environment outside the sphere is identical to that of a point charge. Therefore the potentialis the same as that of a point charge: