Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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# 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 - Physics

Sum

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(sqrt 2) with the magnetic axis

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#### Solution

Given :

Angle made by observation point P with the axis of the dipole, θ = tan^-1 (sqrt 2)

⇒ tan θ = sqrt 2

⇒ 2 = tan^2 θ

⇒ tan θ = cot θ

⇒ tan θ /2 = cot θ         .....(1)

we know ,

tan θ /2 = tan α      ....(2)

On comparing (1) and (2), we get

tan α = cot θ

⇒ tan α = tan (90 - θ)

⇒ α = 90 - θ

⇒ θ + α = 90^circ

Hence, the magnetic field due to the dipole is perpendicular to the magnetic axis.

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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 14 Permanent Magnets
Q 6 | Page 277
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#### Video TutorialsVIEW ALL [1]

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