The earth's magnetic field, with a magnetic dipole moment of 8.0×1022Am2, is generated by currents within the molten iron of the earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter “wire.” The loop diameter is measured from the centers of this very fat wire. 1) What is the current in the current loop? 2) What is the current density JJ in the current loop? 3) To decide whether this is a large or a small current density, find the ratio of the current density JJ in the current loop to the current density of a 2.0 AA current in a 1.6-mmmm-diameter wire.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 12OQ: A magnetic field exerts a torque on each of the current carrying single loops of wire shown in...
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The earth's magnetic field, with a magnetic dipole moment of 8.0×1022Am2, is generated by currents within the molten iron of the earth's outer core. Suppose we model the core current as a 3000-km-diameter current loop made from a 1000-km-diameter “wire.” The loop diameter is measured from the centers of this very fat wire.

1) What is the current in the current loop?

2) What is the current density JJ in the current loop?

3) To decide whether this is a large or a small current density, find the ratio of the current density JJ in the current loop to the current density of a 2.0 AA current in a 1.6-mmmm-diameter wire.

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