Show that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis if the line joining the point with the centre of the dipole makes an angle of tan –1 (√2) with the magnetic axis.

Question

Philoid · Accepted Answer

we can written as,

we know that,

Now from equation (1) and (2) we get

Tanα =Cotθ

⇒ Tanα = Tan(90-θ)

α = 90-θ

θ + α =90°
hence we proved that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis

Show that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis if the line joining the point with the centre of the dipole makes an angle of tan–1 (√2) with the magnetic axis.

Show that the magnetic field at a point due to a magnetic dipole is perpendicular to the magnetic axis if the line joining the point with the centre of the dipole makes an angle of tan^–1 (√2) with the magnetic axis.