II. The planet earth has a magnetic field, B = (415 mT)j - (114 mT)k. %3D a) A wire of mass 22 g and 25 cm long with a current of 33 mA in the i direction is placed near the surface of the earth. What is the magnitude and direction of the magnetic force on the wire due to the Earth's magnetic field? b) Consider the same wire, but this time ignore the Earth's magnetic field. What magnitude and direction of magnetic field could this wire be placed in in order to levitate it, i.e., overcome the force of gravity acting upon it? Assume gravity acts in the -k direction.

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Chapter1: Units, Trigonometry. And Vectors
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II. The planet earth has a magnetic field...

II. The planet earth has a magnetic field, B = (415 mT)j - (114 mT)k.
a) A wire of mass 22 g and 25 cm long with a current of 33 mA in the i direction is
placed near the surface of the earth. What is the magnitude and direction of the
magnetic force on the wire due to the Earth's magnetic field?
b) Consider the same wire, but this time ignore the Earth's magnetic field. What
magnitude and direction of magnetic field could this wire be placed in in order to
levitate it, i.e., overcome the force of gravity acting upon it? Assume gravity acts in
the -k direction.
Transcribed Image Text:II. The planet earth has a magnetic field, B = (415 mT)j - (114 mT)k. a) A wire of mass 22 g and 25 cm long with a current of 33 mA in the i direction is placed near the surface of the earth. What is the magnitude and direction of the magnetic force on the wire due to the Earth's magnetic field? b) Consider the same wire, but this time ignore the Earth's magnetic field. What magnitude and direction of magnetic field could this wire be placed in in order to levitate it, i.e., overcome the force of gravity acting upon it? Assume gravity acts in the -k direction.
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