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At a point on the right bisector of a magnetic dipole the magnetic
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Verified Answer
The correct answer is:
potential varies as $\frac{1}{r^{2}}$
The magnetic potential due to a magnetic dipole at distance $r$ is
$$
V=\frac{\mu_{0}}{4 \pi} \frac{M \cos \theta}{r^{2}}
$$
On the right bisector (ie, on axial line), $\theta=0^{\circ}$
$$
V=\frac{\mu_{0}}{4 \pi} \frac{M}{r^{2}} \quad \text { or } \quad V \propto \frac{1}{r^{2}}
$$
$$
V=\frac{\mu_{0}}{4 \pi} \frac{M \cos \theta}{r^{2}}
$$
On the right bisector (ie, on axial line), $\theta=0^{\circ}$
$$
V=\frac{\mu_{0}}{4 \pi} \frac{M}{r^{2}} \quad \text { or } \quad V \propto \frac{1}{r^{2}}
$$
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