MHT CET · Physics · Waves and Sound
At a point on the right bisector of a magnetic dipole the magnetic
- A potential varies as \(\frac{1}{r^{2}}\)
- B potential is zero at all points on the right bisector
- C field varies as \(r^{2}\)
- D field is perpendicular to the axis of dipole
Answer & Solution
Correct Answer
(A) potential varies as \(\frac{1}{r^{2}}\)
Step-by-step Solution
Detailed explanation
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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