What is the relationship between electric field and electric potential?

Practice Questions

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

Questions & Step-by-Step Solutions

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.
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