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A bar magnet is aligned east-west, with its center 26 cm from the center of a co

ID: 778370 • Letter: A

Question

A bar magnet is aligned east-west, with its center 26 cm from the center of a compass (see figure below). The compass is observed to deflect 55o away from north as shown, and the horizontal component of the Earth's magnetic field is known to be 2 x 10-5 T. Northte (a) Label the N and S poles of the bar magnet and explain your choice The N pole is on the left and the S pole is on the right because the N pole of the compass needle points toward magnetic north. The N pole is on the left and the S pole is on the right because the N pole of the compass needle points toward magnetic south The N pole is on the right and the S pole is on the left because the N pole of the compass needle points toward magnetic north. The N pole is on the right and the S pole is on the left because the N pole of the compass needle points toward magnetic south (b) Determine the magnetic dipole moment of this bar magnet, including correct units. (Enter the magnitude.)

Explanation / Answer

a) 3rd option is the correct answer.

magnet in compass always points towards magnetic south.

b) use B = Bh*tan(theta)

= 2*10^-5*tan(55)

= 2.86*10^-5 T

we know,

magnetic field due to a bar magnet,

B = (mue/(4*pi))*(2*M/d^3)


M = B*d^3*2*pi/mue

= 2.86*10^-5*0.26^3*2*pi/(4*pi*10^-7)

= 2.51 A.m^2

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