Physics

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Question: Calculate the direction of Earth's magnetic field.

3 components of the magnetic field:

Geographic South to North: 0.01670 mT
Geographic West to East: 0.002147 mT
Up to down (up is the sky, down is the ground): 0.03722 mT

Calculating angle East of North:

tanθ=0.002147/0.01670
θ=7.33° East of North

Angle below horizontal:

tanθ=0.03722/√(0.01670^2+0.002147^2)
θ=65.66° below horizontal

Is my attempt correct?

If I did the first question correctly, I need help with this question:

Compare the direction of the projection of this magnetic field vector on the horizontal
plane (the angle to the east (or west) of geographic north) with the direction of the
compass.

I honestly don't understand what they're asking here. Are they saying to compare 7.33° with the direction of the compass? How do I find the direction of the compass?

Also, one last question:

The magnetic field in anywhere between two helmholtz coils is uniform, right?

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