The on-axis magnetic field strength 15cm from a small bar magnet is 4.8 μT
a)What is the bar magnet's magnetic dipole moment?
b)What is the on-axis field strength 19cm from the magnet?
The concept required to solve this question is the magnetic field on the axis of the dipole.
Initially, write the expression for the magnetic field on the axis of the bar magnet. Then, rearrange the expression of the magnetic field for the magnetic dipole moment.
The magnetic field on the axis of the bar magnet can be calculated using the calculated value of the dipole moment and the distance.
The expression of the magnetic field on the axis of the bar magnet is,
Here, B is the magnetic field, is the permeability, p is the magnetic dipole moment, and z is the distance.
(a)
The expression of the magnetic field on the axis of the bar magnet is,
Rearrange the expression for the dipole moment.
Substitute for B, 15 cm for z, and for .
(b)
The expression of the magnetic field on the axis of the bar magnet is,
Substitute for p, 19 cm for z, and for .
Ans: Part a
The magnetic dipole moment is .
Part bThe magnetic field is .
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