Question
Asked Dec 2, 2019
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A horizontal compass is placed 0.29 m due south from a straight vertical wire carrying a 45 A current downward. Assume the horizontal component of the Earth's field at this point is 0.45E-4 T. In what direction does the compass needle point at this location? Give your answer as a decimal fraction of degrees west of north.

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Expert Answer

Step 1

Given data:

Current in the wire, I = 45 A

The earth’s magnetic field, BE = 0.45 x 10-4 T

Step 2

The magnetic field due to wire at the distance 0.29 m:

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В - 2лr 4л х10-7 x45 2x3.14x0.29 — 310.344 x1о =3.10 x10 T

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Step 3
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В e=tan В. earth 3.10x10 0.45x10 = tan 34.56° (West of north

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