Question:

What is the magnitude of axial field due to a bar magnet of length 3 cm at a distance of 75 cm from its mid-point if its magnetic moment is $0.6\, A\, m^2$?

Updated On: Jun 23, 2023
  • $0.013\, ?T$
  • $0.113\, ?T$
  • $0.284\, ?T$
  • $0.313\, ?T$
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The Correct Option is C

Solution and Explanation

Here $m=0.6\,A\,m^{2}, r=75\,cm=0.75\,m$ $B_{axial}=\frac{\mu_{0}}{4\pi}.\left(\frac{2m}{r^{3}}\right)=10^{-7}\times\frac{2\times0.6}{\left(0.75\right)^{3}}$ $\therefore B_{axial}=2.84\times10^{-7}\,T=0.284\,\mu T.$
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Notes on Magnetism and matter

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.