Question:

The value of magnetic potential at a distance \( r \) from a pole strength \( m \) is:

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Magnetic potential varies inversely with distance \( r \) from the pole.
  • \(\displaystyle \frac{\mu_0 m}{4\pi r} \)
  • \(\displaystyle \frac{\mu_0 m}{4\pi r^2} \)
  • \(\displaystyle \frac{\mu_0 m}{4\pi r^3} \)
  • zero
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The Correct Option is A

Solution and Explanation

The magnetic potential \( V \) at a point located at a distance \( r \) from a magnetic pole of strength \( m \) is given by the expression: \[ V = \frac{\mu_0 m}{4 \pi r}, \] where \( \mu_0 \) is the permeability of free space. This formula is analogous to the electric potential due to a point charge, and it describes how the magnetic potential decreases inversely with distance from the pole.
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