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An electric dipole is placed at the origin and is directed along the x -axis. At a point P , far away from the dipole, the electric field is parallel to the y -axis. O P makes an angle θ with the x -axis, then

Options

  1. Atan θ = 3
  2. Btan θ = 2
  3. Cθ = 4 5 ∘
  4. Dtan θ = 1 / 2

Correct answer

B. tan θ = 2

Step-by-step solution

Direction of the electric field from the axis of the dipole is given by = θ + tan - 1 tan θ 2 Here given that E is along the y -axis. θ + tan - 1 tan θ 2 = π 2 tan θ 2 = cot θ tan θ = 2 cot θ ⇒ tan 2 θ = 2 ∴ tan θ = 2

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