j out of the page k into the page 0 zero magnitude e A points North of In the re

Question

j out of the page k into the page 0 zero magnitude e A points North of In the region shown in the diagram, the magnitude of the horizontal component of the Earth's magnetic feld is about 2e-5 T. Ongnally a compass placed at location Then a bar magnet is placed at the location shown in the diagram, with its center 15 cm from location A. With the magnet present, the compass North. (Take North to be toward the top of the page.) needle points 70 degrees East Which pole of the magnet is nearer to location A7 SouthX which arrow best represents the drection of the magnetic field at location 8, due to the bar magnet? b which arrow best represents the direction of the magnetic field at location C, due to the bar magnet? Select Which arrow best represents the direction of the magnetic field at location D, due to the bar magnet? c What is the magnetic dipole moment of the bar magnet? = 0.926 A m2

Explanation / Answer

To find the magnetic field at point A , we imagine a a north pole ( a mono pole ) is placed at point A.

This monopole (north pole) is repelled by north pole of magenet and attracted towards the south pole of the magnet.

i)

The resultant direction of magnetic field due to earth's magnetic field and bar magnet is pointing 700 east of north, that means there is strong repulsion(towards east) by bar magnet than attraction ( towards west). so the nearest pole to location of point A is North pole.

ii)

At point B , the monopole ( north pole) is repelled by north pole of bar bagnet (towards south -west) and attracted by south pole of bar magent ( towards north-west) , the resultant of this yields the direction of field B along west.

Here the repulsion and attraction takes place in equal magnitudes.

Correct representation of arrow is g ( towards west )

iii)

At point C , the monopole ( north pole) is repelled by north pole of bar bagnet weakly (towards west) and attracted by south pole of bar magent strongly ( towards east) , the resultant of this yields the direction of field B along east.

Correct representation of arrow is c ( towards east )

iv)

At point D , the monopole ( north pole) is repelled by north pole of bar bagnet (towards north-west) and attracted by south pole of bar magent ( towards south-west) , the resultant of this yields the direction of field B along west.

Here the repulsion and attraction takes place in equal magnitudes.

Correct representation of arrow is g ( towards west )

v)

At point A:

Angle between B and BH is 700

cos 700 = BH / B

B= (2x10-5 ) / cos 700 = 5.85 x 10-5 T

Magnetic field on the axial line of bar magnet B=10-7 (2M /d3 )

d=0.15 m

Magneti dipole moment , M = 0.987 Am2

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