Physics, asked by suchandradg1516, 1 year ago

Calculate the electrostatic potential energy of a system of three point charges q1, q2 and q3 located respectively at r1 ,r2 and r3 with respect to the common origin O.

Answers

Answered by Fatimakincsem
3

The net potential is  

U= K q₁q₂/|r₂ - r₁| + Kq₂q₃/|r₃ - r₂| + Kq₃q₁/|r₁ - r₃|

Explanation:

  • Potential energy of charge q₁ and q₂ is given by U₁₂ = Kq₁q₂/|r₁₂|
  • U₁₂ = K q₁q₂/|r₂ - r₁|
  • Similarly , potential energy of charge q₂ and q₃ is given by U₂₃ = Kq₂q₃/|r₂₃|
  • U₂₃ = K q₂q₃/|r₃ - r₂|
  • Potential energy of charge q₃ and q₁ is given by U₃₁ = Kq₃q₁/|r₃₁|
  • U₃₁ = K q₃q₁/|r₁ - r₃|
  • So, the net potential energy of the system of three charges is U = U₁₂ + U₂₃ + U₃₁
  • e.g., U= K q₁q₂/|r₂ - r₁| + Kq₂q₃/|r₃ - r₂| + Kq₃q₁/|r₁ - r₃|

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