The electric potential due to a uniformly charged sphere at a point outside the
Practice Questions
Q1
The electric potential due to a uniformly charged sphere at a point outside the sphere is equivalent to that of?
A point charge at the center
A point charge at the surface
A point charge at the edge
A hollow sphere
Questions & Step-by-Step Solutions
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.
