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Problem 45 Medium Difficulty

You travel to the north magnetic pole of the Earth, where the magnetic field points vertically downward. There, you draw a circle on the ground. Applying Ampere's law to this circle, show
that zero current passes through its area.

Answer

$I_{e n c}=0$

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Video Transcript

So here we are at the Earth's north magnetic pole so reserved for my medical holding make old even medic field lines from the earth We point vertically downwards towards the floor. Now we're gonna do is we're gonna draw circle on the floor to go on the understory, get confused by a bear Slaughter this circle Some personal looks like this work just amenity full components perpendicular to the line sentiment that were growing too close Lunch center Where Tony This delay is the piece of the likes them in and the sun's over All the life sentence contestant people to the currently close in sight The only clothing site this loop time because time you zero who are you know that only the components of the Monday filled all barrel to disclose that contribute to the But the circle we drew is on the floor And if all the one that I feel points vertically down worst enemy said every single magnetic field line that passed that studies in this area is perpendicular to the close pat Before all of these terms here are zero because we only have a predictable components of the magnetic field. Therefore, this left science all zero and it on. The only way for this equation to still be crew is for close current in the circle to also easier. Therefore, even and personal, we can see that the current that passenger circle has to show.

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Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Farnaz M.

Other Schools

Meghan M.

McMaster University

Physics 102 Electricity and Magnetism Bootcamp

Lectures

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