A wire carrying a current is shaped in the form of a circular loop of radius 4.0 mm. If the magnetic field strength at its center is 1.1 mT with no external magnetic fields contributing to it, how do you determine what is the magnitude of the current that flows through the wire?

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Asked Nov 17, 2019
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A wire carrying a current is shaped in the form of a circular loop of radius 4.0 mm. If the magnetic field strength at its center is 1.1 mT with no external magnetic fields contributing to it, how do you determine what is the magnitude of the current that flows through the wire?

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Expert Answer

Step 1

Given data:

Radius of the loop, R = 4.0 mm = 4 x 10-3 m/s

Magnetic field at the center of the loop, B = 1.1 mT = 1.1 x 10-3 T

Let the current flow through the wire be I.

Step 2

The formula of magnetic field at the center of the wire:

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B = 2R Magnetic permeability of free space =4T x10- T.m/A

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Step 3

Therefore...

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2R Вx 2R Plugging in the values 1.1x 103 2x 4x 103 4л х10-7 =7 A

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