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What is the relationship between electric potential and electric field?

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

Options:

  1. E = -dV/dx
  2. E = dV/dx
  3. E = V/d
  4. E = -V/d

Correct Answer: E = -dV/dx

Solution: 

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

What is the relationship between electric potential and electric field?

Practice Questions

Q1
What is the relationship between electric potential and electric field?
  1. E = -dV/dx
  2. E = dV/dx
  3. E = V/d
  4. E = -V/d

Questions & Step-by-Step Solutions

What is the relationship between electric potential and electric field?
Correct Answer: E = -dV/dx
  • 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 in that 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/dx, where dV/dx is the change in electric potential with respect to distance (x).
  • Step 5: The negative sign indicates that the electric field points in the direction of decreasing electric potential.
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