Question

Two points at distances x & 3x from a short magnetic dipole, lie 180° apart. The ratio
of the magnetic field inductions at these point is
(a) 1:27
(b) 1:9
(c) 9:1
(d) 27:1​

Answer 1

Answer:

Two points at distances x & 3x from a short magnetic dipole, lie 180° apart. The ratio of the magnetic field inductions at these point is 27:1

Explanation:

The strength of that tiny magnet, the magnetic dipole moment m, is given by m = NIA, giving the units - Ampere meter square. The magnetic dipole moment is a vector quantity and its direction is given by the right-hand thumb rule.

The strength of that tiny magnet, the magnetic dipole moment m, is given by m = NIA, giving the units - Ampere meter square. The magnetic dipole moment is a vector quantity and its direction is given by the right-hand thumb rule.

Generally a tiny magnet of microscopic to subatomic dimensions, equivalent to a flow of electric charge around a loop. Electrons circulating around atomic nuclei, electrons spinning on their axes, and rotating positively charged atomic nuclei all are magnetic dipoles.

The magnetic dipole field induction follows an inverse cube law, so the ratio of fields at two points at distances x and 3x from the dipole is 1/27.

The correct answer is (d) 27:1

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