Electrostatics

Potential energy

Derive the expression for the electric potential energy of a system of two point charges q₁ and q₂ separated by distance r. What is the significance of this energy?

LA
Hard
5 Marks
70% Confidence

Confidence Score

70%

Times Viewed

0

Max Marks

5

Hints

  • 1.work done in assembling the charges
  • 2.use formula W = q₁q₂/(4πε₀r)
  • 3.units: joule

Answer Outline

  1. 1.Bring charge q1, then bring q2 from infinity
  2. 2.Work done = ∫ F dr = q₁q₂/(4πε₀r)
  3. 3.Thus potential energy U = q₁q₂/(4πε₀r)
  4. 4.Significance: stored energy due to configuration