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A residential power line carries a current of 325 Amperes. The power line is 6.50 meters...

A residential power line carries a current of 325 Amperes. The power line is 6.50 meters off the ground. What is the magnitude of the magnetic field of this power line at ground level? How does that compare to the earth’s magnetic field magnitude of 5E-5 Teslas?

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Answer #1

Current through the wire, I = 325 A

We will consider the wire to be very long (so we will take it as infinite).

Distance from the wire to the ground is, r = 6.50 m

Magnetic field due to earth is

So, earth's magneric field is 5 times of the magnetic field due to the power line.

Or, the magnetic field due to power line is (1/5)th of the earth's magnetic field.

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