What is the relationship between electric field E and potential V in electrostat

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Question: What is the relationship between electric field E and potential V in electrostatics?

Options:

Correct Answer: E = -dV/dx

Solution:

The electric field is the negative gradient of the electric potential, E = -dV/dx.

What is the relationship between electric field E and potential V in electrostatics?

What is the relationship between electric field E and potential V in electrostatics?

Step 1: Understand that electric field (E) and electric potential (V) are related concepts in electrostatics.
Step 2: Know that electric potential (V) is a measure of the potential energy per unit charge at a point in space.
Step 3: Recognize that the electric field (E) represents the force experienced by a unit positive charge placed in the field.
Step 4: Learn that the electric field is related to how the electric potential changes in space.
Step 5: The relationship is expressed mathematically as E = -dV/dx, where dV/dx is the change in electric potential with respect to distance (x).
Step 6: The negative sign indicates that the electric field points in the direction of decreasing potential.

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