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What is the relationship between electric field E and potential V in a uniform e

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

Options:

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

Correct Answer: E = -dV/dx

Solution: 

In a uniform electric field, the relationship is given by E = -dV/dx, indicating that the electric field points in the direction of decreasing potential.

What is the relationship between electric field E and potential V in a uniform e

Practice Questions

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

Questions & Step-by-Step Solutions

What is the relationship between electric field E and potential V in a uniform electric field?
Correct Answer: E = -dV/dx
  • Step 1: Understand what an electric field (E) is. It is a region around a charged object where other charged objects experience a force.
  • Step 2: Understand what electric potential (V) is. It is the potential energy per unit charge at a point in an electric field.
  • Step 3: Recognize that in a uniform electric field, the strength of the field is constant throughout the region.
  • Step 4: Learn the formula E = -dV/dx. This means that the electric field (E) is related to how the electric potential (V) changes with distance (x).
  • Step 5: The negative sign in the formula indicates that the electric field points in the direction where the potential decreases.
  • Step 6: Conclude that in a uniform electric field, as you move in the direction of the electric field, the electric potential decreases.
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