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JEE Main201910 Jan 2019Morning ShiftPhysicsElectrostaticsActual

Two electric dipoles, A , B with respective dipole moments d A → = - 4 q a i ^ and d B → = - 2 q a i ^ are placed on the x -axis with a separation R , as shown in the figure The distance from A at which both of them produce the same potential is:

Options

  1. AR 2 - 1
  2. B2 R 2 - 1
  3. C2 R 2 + 1
  4. DR 2 + 1

Correct answer

B. 2 R 2 - 1

Step-by-step solution

V 1 + V 2 = 0 K 4 q a x 2 - K 2 q a x - R 2 = 0 x 2 = 2 x - R 2 x = 2 R 2 - 1

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