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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2023 · 15 April · Morning Shift · Physics · Electrostatics

The electric field due to a short electric dipole at a large...

The electric field due to a short electric dipole at a large distance (r)\left(r\right) from center of dipole on the equatorial plane varies with distance as :

Options

  1. Arr
  2. B1r2\dfrac{1}{{r}^{2}}
  3. C1r3\dfrac{1}{{r}^{3}}
  4. D1r\dfrac{1}{r}

Correct answer

C. 1r3\dfrac{1}{{r}^{3}}

Step-by-step solution

An electric dipole is a system of two charges of equal and opposite magnitude placed at a short distance.

The dipole moment is, p=2qlp = 2ql.

The electric field due to the dipole is,

E=2kpr3E = \dfrac{2kp}{{r}^{3}}

Clearly, the electric field varies as 1r3\dfrac{1}{{r}^{3}}.

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