The earths magnetic dipole moment is 8.0 x 10^22 Am^2. What is the magnetic fiel

Question

The earths magnetic dipole moment is 8.0 x 10^22 Am^2. What is the magnetic field strength on the surface of the earth at the earth's north magnetic pole? You can assume that the current loop is deep inside the earth. Express your answer to two significant figures and include the appropriate units. Part B Astronauts discover an earth-size planet without a magnetic field. To create a magnetic field at the north pole with the same strength as earths, they propose running a current through a wire around the equator. What size current would be needed? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

B(r) = (µ0/4*)*(2*m/r³)
r = earth radius = 6.36*10^6 m
µ0 = 4**10^-7 H/m
m = 8.0*10^22 A-m²

B = 6.2*10^-5 T or 62 µT

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