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

Practice Questions

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

Questions & Step-by-Step Solutions

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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