The following figures show the arrangement of | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The direction of the magnetic dipole moment is from the south pole to the north pole of the magnet.In configuration $(1)$,the angle between the tw

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) The direction of the magnetic dipole moment is from the south pole to the north pole of the magnet.In configuration $(1)$,the angle between the two magnetic moments is $90^{\circ}$. The net magnetic dipole moment is $m_{	ext{net}} = \sqrt{m^2 + m^2 + 2m^2 \cos 90^{\circ}} = \sqrt{2m^2} = m\sqrt{2} \approx 1.414m$.In configuration $(2)$,the magnetic moments are in opposite directions,so the angle is $180^{\circ}$. The net magnetic dipole moment is $m_{	ext{net}} = m - m = 0$.In configuration $(3)$,the angle between the two magnetic moments is $30^{\circ}$. The net magnetic dipole moment is $m_{	ext{net}} = \sqrt{m^2 + m^2 + 2m^2 \cos 30^{\circ}} = \sqrt{2m^2 + 2m^2(\frac{\sqrt{3}}{2})} = m\sqrt{2 + \sqrt{3}} \approx m\sqrt{3.732} \approx 1.932m$.In configuration $(4)$,the angle between the two magnetic moments is $60^{\circ}$. The net magnetic dipole moment is $m_{	ext{net}} = \sqrt{m^2 + m^2 + 2m^2 \cos 60^{\circ}} = \sqrt{2m^2 + 2m^2(\frac{1}{2})} = m\sqrt{3} \approx 1.732m$.Comparing the values,configuration $(3)$ has the highest net magnetic dipole moment.

The following figures show the arrangement of bar magnets in different configurations. Each magnet has a magnetic dipole moment $\vec{m}$. Which configuration has the highest net magnetic dipole moment?

Similar Questions

The magnitude of magnetic fields at a distance $r$ from the centre of a short bar magnet,in longitudinal position to transverse position,is in the ratio:

$A$ bar magnet is cut into two equal parts. Then,which of the following quantities may change?

Two magnets,each of magnetic moment $M$,are placed so as to form a cross at right angles to each other. The magnetic moment of the system will be

Three identical bar magnets each of magnetic moment $M$ are placed in the form of an equilateral triangle as shown. The net magnetic moment of the system is

$A$ short bar magnet has a magnetic moment of $0.48 \; J \; T^{-1}$. Give the direction and magnitude of the magnetic field produced by the magnet at a distance of $10 \; cm$ from the centre of the magnet on
$(a)$ the axis,
$(b)$ the equatorial lines (normal bisector) of the magnet.

Vedclass Test Series

Exam Paper Generator

Online Exam Module