) At the equator, the earth’s field is essentially horizontal; near the north po

Question

) At the equator, the earth’s field is essentially horizontal; near the north pole, it is nearly vertical. In between, the angle varies. As you move farther north, the dip angle, the angle of the earth’s field below horizontal, steadily increases. We generally use a compass when its face is oriented parallel to the ground, consequently only picking up the horizontal component of the earth’s magnetic field. Say you were on planet X and feeling a magnetic field of 30.0T horizontal to the surface of the planet. If you passed 480mA of current through on a current loop of diameter 20.0cm, how would you orient the loop so that your compass needle rotates 45 degrees. (Your compass face is level with the surface of the planet, and at the center of the loop.)

Explanation / Answer

so context: depending on where you are on Earth, the field is angled differently - for example if you're at one of the poles, the field will be coming in or out of the ground whereas at the equator the field will be tangential to the Earth's surface. the dip angle is the angle a compass will experience, "dip beneath the horizontal (the tangent to the surface depending on where you are on the Earth)" due to the fact that it's following the magnetic field of the Earth rather than the curvature of the Earth.

So we have a dip angle that's caused by the increasing vertical component of the Earth's magnetic field as you go from the equator to the poles, and we have a desired angle - in order to get that desired angle, we have to add to the vertical component of the Be (Earth's magnetic field) with our own B caused by the coil in the loop surrounding the turtles

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