let r be the distance of a point on the axis of a magnetic dipole from its centre. the magnetic field at such a point is proportional to?
Answers
The magnitude of bar magnet can be calculated by following equation:
B = 10^(-7) 2Mr/(r^2 – l^2)^2 ………… (i)
In this equation, it is clear that magnetic field does not have simple relation with the radius r. In the denominator, r has power 4. If we look at expression with attention, it can be observed that B has inverse relation with r.
Given:
r is the distance of a point of axis of magnetic dipole from center
Formula Used:
Where, M is the magnetic dipole moment.
Calculations:
Let l be the length of the dipole. Then, if l >>r
Thus, Magnetic field at the point would be inversely proportional to cube of the distance from the center of dipole.
Learn more about: Magnetic dipole
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