In the region shown in the diagram, the magnitude of the horizontal component of

Question

In the region shown in the diagram, the magnitude of the horizontal component of the Earth's magnetic field is about 2e-5 T. Originally a compass placed at location A points North. Then a bar magnet is placed at the location shown in the diagram, with its center 21 cm from location A. With the magnet present, the compass needle points 80 degrees East of North. (Take North to be toward the top of the page.)

Which arrow best represents the direction of the magnetic field at location B, due to the bar magnet?

Which arrow best represents the direction of the magnetic field at location D, due to the bar magnet?

What is the magnetic dipole moment of the bar magnet? = A*m2

Explanation / Answer

Which arrow best represents the direction of the magnetic field at location B, due to the bar magnet?

g

Which arrow best represents the direction of the magnetic field at location C, due to the bar magnet?

c

Which arrow best represents the direction of the magnetic field at location D, due to the bar magnet?

g

What is the magnetic dipole moment of the bar magnet?

B = u0I/2pi*r

SO, I = 2pi*rB/u0

So, magnetic dipole moment = I x A = IAsin(th)

= (2pi*rB/u0)* pi*r2 sin(th)

= (2pi2*r3B/u0)* sin(th); r = 0.21m, B = 2e-5T, th = 80

= 2.865 Am2

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