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Question

The earth's magnetic field at some place on magnetic equator of the earth is 0.5×104T. Consider the radius of the earth at that place as 6400km. Then, magnetic dipole moment of the earth is ___________ Am2. (μ0=4π×107TmA1)

A
1.31×1023
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B
1.05×1023
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C
1.15×1023
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D
1.62×1023
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Solution

The correct option is D 1.62×1023
Given,
Re=6400km=6.4×10+6m
Be=0.5×104T
μ0=4π×107TmA1
M=?
The magnetic field at the equator
B=μ04πiRe
and M=iA
M=4πReBμ0×πR2e
=4π×64×105×5×105×3.14×4096×10104π×107
=130×107×3.14×4096×1010
=1673508.57×1017
=1.67×1023Am2

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