Earth has a magnetic dipole moment of 8.0*10^22 J/T (a) What current would have to be produced in a single turn of wire extending around Earth at its geomagnetic equator if we wished to set up such a dipole? Could such an arrangement be used to cancel out Earth’s magnetism (b) at points in space well above Earth’s surface or (c) on Earth’s surface?

VarceprewN3M

VarceprewN3M

Answered question

2022-11-25

Earth has a magnetic dipole moment of
8.0 × 10 22 J / T
(a) What current would have to be produced in a single turn of wire extending around Earth at its geomagnetic equator if we wished to set up such a dipole? Could such an arrangement be used to cancel out Earth’s magnetism
(b) at points in space well above Earth’s surface or
(c) on Earth’s surface?

Answer & Explanation

camelatcat

camelatcat

Beginner2022-11-26Added 5 answers

a) The magnetic dipole moment
μ = I A I = μ A
the cross section area of a loop with radius equals the radius of earth R=6370 km, is A = π R 2
I = μ π R 2 I = 8.0 × 10 22 A m 2 π ( 6370 × 10 3 m ) 2 = 6.3 × 10 8 A

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