Question:

At a point on the right bisector of a magnetic dipole the magnetic

Updated On: Jun 23, 2023
  • potential varies as $\frac{1}{r^2}$
  • potential is zero at all points on the right bisector
  • field varies as $r^2$
  • field is perpendicular to the axis of dipole
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The Correct Option is A

Solution and Explanation

The magnetic potential due to a magnetic dipole at distance $r$ is given by $ V=\frac{\mu_0}{4\pi} \frac{M\, cos\, \theta}{r^2}$ On the right bisector (ie, on axial line), $\theta = 0^\circ$ $\therefore =\frac{\mu_0}{4\pi}.\frac{M}{r^2}$ or $V??frac{1}{r^2}$
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Concepts Used:

Magnetism & Matter

Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.

Magnetite is the world’s first magnet. This is also called a natural magnet.  Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.

Read More: Magnetism and Matter

Some of the properties of the magnetic field lines are:

  • The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
  • They form closed loops traversing inside the magnet. 
  • But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
  • More number of close lines indicate a stronger magnetic field
  • The lines do not intersect each other
  • The tangent drawn at the field line gives the direction of the field at that point.