The Magnetic Compass Calibration · AI Generator #GEN-F864F7AF

Physics · electromagnetism

Problem

A hiker is using a magnetic compass near a power transmission line to navigate through fog. The transmission line carries a steady current of

I = 500\;\text{A}

and runs horizontally in the east-west direction at a height of

h = 12\;\text{m}

above the ground. The hiker stands directly below the transmission line with her compass held horizontally at ground level. The Earth's magnetic field has a horizontal component of

B_{\text{Earth}} = 2.0 \times 10^{-5}\;\text{T}

pointing due north. What is the angle

\theta

by which the compass needle is deflected from true north due to the magnetic field from the transmission line?

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