Magnetism Question 217
Question: The magnetic potential at a point on the axial line of a bar magnet of dipole moment M is V. What is the magnetic potential due to a bar magnet of dipole moment $ \frac{M}{4} $ at the same point
[MH CET 2004]
Options:
A) $ 4V $
B) $ 2V $
C) $ \frac{V}{2} $
D) $ \frac{V}{4} $
Show Answer
Answer:
Correct Answer: D
Solution:
Magnetic potential at a distance d from the bar magnet on it’s axial line is given by $ V=\frac{{\mu _{0}}}{4\pi }.\frac{M}{d^{2}} $
Therefore $ V\propto M $
Therefore $ \frac{V _{1}}{V _{2}}=\frac{M _{1}}{M _{2}} $
Therefore $ \frac{V}{V _{2}}=\frac{M}{M/4} $
Therefore $ V _{2}=\frac{V}{4} $
BETA
