Question: In a uniform electric field, how does the electric potential change with distance?
Options:
Linearly
Quadratically
Exponentially
Remains constant
Correct Answer: Linearly
Solution:
In a uniform electric field, the electric potential changes linearly with distance.
In a uniform electric field, how does the electric potential change with distanc
Practice Questions
Q1
In a uniform electric field, how does the electric potential change with distance?
Linearly
Quadratically
Exponentially
Remains constant
Questions & Step-by-Step Solutions
In a uniform electric field, how does the electric potential change with distance?
Correct Answer: Electric potential changes linearly with distance.
Step 1: Understand what a uniform electric field is. It means the electric field strength is the same everywhere in that area.
Step 2: Know that electric potential is related to the electric field. It tells us how much potential energy a charge would have in that field.
Step 3: Realize that in a uniform electric field, as you move in the direction of the field, the electric potential decreases.
Step 4: Recognize that the change in electric potential is consistent over equal distances. This means if you move a certain distance, the change in potential is the same every time.
Step 5: Conclude that because the change is consistent, the electric potential changes in a straight line (linearly) with distance.
Uniform Electric Field β A region where the electric field strength is constant in magnitude and direction.
Electric Potential β The work done per unit charge in bringing a charge from infinity to a point in the electric field.
Linear Relationship β In a uniform electric field, the electric potential decreases linearly with distance in the direction of the field.
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