The electric potential due to a uniformly charged sphere at a point outside the

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Question: The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?

Options:

Correct Answer: A point charge at the center

Solution:

The electric potential outside a uniformly charged sphere is the same as that due to a point charge located at the center of the sphere.

The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?

The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?

Step 1: Understand that a uniformly charged sphere means the charge is spread evenly over the surface of the sphere.
Step 2: Recognize that when we talk about electric potential, we are referring to the ability of the charge to do work on another charge placed in its electric field.
Step 3: Note that the electric potential at a point outside the sphere depends only on the total charge of the sphere and the distance from the center of the sphere to that point.
Step 4: Realize that for points outside the sphere, the electric field behaves as if all the charge were concentrated at a single point at the center of the sphere.
Step 5: Conclude that the electric potential at a point outside the uniformly charged sphere is the same as if all the charge were located at the center of the sphere, which is equivalent to a point charge.

Electric Potential of Charged Objects – Understanding how the electric potential behaves for different charge distributions, particularly for uniformly charged spheres and point charges.
Superposition Principle – The principle that allows us to treat the electric potential of a uniformly charged sphere as equivalent to that of a point charge at its center when considering points outside the sphere.