What is the relationship between electric field and electric potential?

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Question: What is the relationship between electric field and electric potential?

Options:

Correct Answer: E = -dV/dr

Solution:

The electric field E is the negative gradient of the electric potential V, given by E = -dV/dr.

What is the relationship between electric field and electric potential?

What is the relationship between electric field and electric potential?

Step 1: Understand that electric potential (V) is a measure of the potential energy per unit charge at a point in an electric field.
Step 2: Recognize that the electric field (E) is a vector that represents the force experienced by a positive charge placed in the field.
Step 3: Learn that the electric field is related to how the electric potential changes in space.
Step 4: The relationship is expressed mathematically as E = -dV/dr, where dV is the change in electric potential and dr is the change in distance.
Step 5: The negative sign indicates that the electric field points in the direction of decreasing electric potential.

No concepts available.