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Physics · JEE | Magnetism and Matter

हिन्दी

Using the electrostatic analogy, what is the equatorial magnetic field \( B_E \) of a short bar magnet of magnetic moment \( m \) at a distance \( r \) (\( r \gg l \))?

  1. A
    \( \frac{\mu_0 m}{4\pi r^3} \)
  2. B
    \( -\frac{\mu_0 m}{4\pi r^3} \)
  3. C
    \( -\frac{\mu_0 2m}{4\pi r^3} \)
  4. D
    \( \frac{\mu_0 2m}{4\pi r^3} \)
View Answer & Solution

Correct answer · Option B

\( -\frac{\mu_0 m}{4\pi r^3} \)

Explanation

Replacing \( \frac{1}{4\pi\varepsilon_0} \) with \( \frac{\mu_0}{4\pi} \) and \( p \) with \( m \) in the electric dipole equatorial field formula yields \( B_E = -\frac{\mu_0 m}{4\pi r^3} \).
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