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Three charges -q₁,+q₂ and -q₃ are placed as shown in the figure. The x -component of the force on -q₁ is proportional to

Options

  1. Aq ₂ ~b ^2 - q ₃ a ^2
  2. Bq ₂ ~b ^2 + q ₃ a ^2
  3. Cq ₂ ~b ^2 + q ₃ a ^2
  4. Dq ₂ ~b ^2 - q ₃ a ^2

Correct answer

B. q ₂ ~b ^2 + q ₃ a ^2

Step-by-step solution

The force body diagram F₁= 1 4 ₀ q₁ q₃ a^2 F ₂= 1 4 ₀ q ₁ q ₃ ~b ^2 F _ X = F ₁ + F ₂= q ₁ 4 ₀ [ q ₃ a ^2 + q ₁ ~b ₂ ] F _ X ( q ₃ a ^2 + q ₂ ~b ^2 )

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