A spherical conductor has a charge Q. What is the electric potential inside the

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Question: A spherical conductor has a charge Q. What is the electric potential inside the conductor?

Options:

Correct Answer: Constant throughout

Solution:

The electric potential inside a charged spherical conductor is constant and equal to the potential on its surface, which is Q/(4πε₀R).

A spherical conductor has a charge Q. What is the electric potential inside the conductor?

A spherical conductor has a charge Q. What is the electric potential inside the conductor?

Step 1: Understand that a spherical conductor is a type of object that can hold electric charge evenly distributed on its surface.
Step 2: Know that when a conductor is charged, the electric field inside the conductor is zero. This means there is no change in electric potential inside.
Step 3: Recognize that the electric potential at any point inside the conductor is the same as the electric potential at the surface of the conductor.
Step 4: Calculate the electric potential at the surface of the conductor using the formula: V = Q / (4πε₀R), where Q is the charge, ε₀ is the permittivity of free space, and R is the radius of the sphere.
Step 5: Conclude that since the potential inside is constant and equal to the surface potential, the electric potential inside the conductor is also V = Q / (4πε₀R).

Electric Potential in Conductors – The electric potential inside a conductor is constant and equal to the potential on its surface due to the redistribution of charge.
Spherical Symmetry – For a spherical conductor, the electric field inside is zero, leading to a uniform potential throughout the interior.
Gauss's Law – Understanding Gauss's Law helps in determining the electric field and potential around symmetric charge distributions.