How do you find the electric potential in a conducting sphere?

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What is the electric potential of a conducting sphere?

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.

How do you calculate the electric potential of a conductor?

Since an electric field requires the presence of a charge, the electric field inside the conductor will be zero i.e., E=0 . Now the electrostatic field can be expressed as E=−dVdr . Thus the electric potential will be constant inside the conductor.

Is there electric potential inside a conductor?

Conductors are equipotentials. Since a charge is free to move around in a conductor, no work is done in moving a charge from one point in a conductor to another. … That means the electric potential inside the conductor is constant.

What is a conducting sphere?

Conducting Sphere : A conducting sphere will have the complete charge on its outside surface and the electric field intensity inside the conducting sphere will be zero. For a spherical charged Shell the entire charge will reside on outer surface and again there will be no field anywhere inside it.

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What is the potential of a sphere?

The electric potential on the surface of a sphere of radius R and charge 3×10−6C is 500V. The intensity of electric field on the surface of the sphere (inNC−1) is.

What is the potential inside a charged sphere?

The electrostatic potential inside a charged spherical ball is given by potential inside a charged spherical ball is given by ϕ=ar2+b. where r is the distance from the centre and a b are constants.

Why is the electric potential inside a sphere not zero?

But precisely because the electric field inside the sphere is zero, you won’t have to do any work. Thus the potential remains the same inside the sphere and equal to the potential of the charge at the outer boundary of the sphere. You only have to do work till the outer boundary of the sphere.