Problem 2. Magnets and electromagnetic induction. (a) One electron and one proton are launched into a uniform magnetic field. Initially, they move to the right at the same velocity, and once they enter the region of magnetic field they follow these paths (not perfectly to scale, but enough to get the idea): Which path is which particle? (Remember, electrons and protons have equal and opposite charge, but protons have about 2000x the mass of an electron.) Which direction is the magnetic field pointing? Explain both answers. (b) A loop of wire moving over a stationary bar magnet will have a current induced, due to the magnetic force acting on the mobile charges in the wire. From a different frame of reference, a bar magnet moving past a stationary loop of wire will have a current induced due to a (Faraday) electric force acting on the mobile charges in the wire. Answer these questions about the Faraday-induced electric field of a moving bar magnet, and explain your reasoning: (1) What might the electric field lines look like in (or near) the loop of wire? (Remember, there are no net charges around for field lines to start or stop! And, the field has to induce a net current.) (2) Does the Faraday-induced electric field exist outside of the wire, or just inside the wire? (3) Does the Faraday-induced electric field exist if the magnet is at rest, and how could you tell experimentally if you are right?

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Chapter29: Magnetic Fields
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Problem 29.23P: A singly charged ion of mass m is accelerated from rest by a potential difference V. It is then...
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Can you answer part b of problem 2 in the image?

Problem 2. Magnets and electromagnetic induction.
(a) One electron and one proton are launched into a uniform magnetic field. Initially, they move
to the right at the same velocity, and once they enter the region of magnetic field they follow
these paths (not perfectly to scale, but enough to get the idea):
Which path is which particle? (Remember, electrons and protons have equal and opposite
charge, but protons have about 2000x the mass of an electron.) Which direction is the
magnetic field pointing? Explain both answers.
(b) A loop of wire moving over a stationary bar magnet will have a current induced, due to the
magnetic force acting on the mobile charges in the wire. From a different frame of reference,
a bar magnet moving past a stationary loop of wire will have a current induced due to a
(Faraday) electric force acting on the mobile charges in the wire.
Answer these questions about the Faraday-induced electric field of a moving bar magnet, and
explain your reasoning: (1) What might the electric field lines look like in (or near) the loop
of wire? (Remember, there are no net charges around for field lines to start or stop! And, the
field has to induce a net current.) (2) Does the Faraday-induced electric field exist outside
of the wire, or just inside the wire? (3) Does the Faraday-induced electric field exist if the
magnet is at rest, and how could you tell experimentally if you are right?
Transcribed Image Text:Problem 2. Magnets and electromagnetic induction. (a) One electron and one proton are launched into a uniform magnetic field. Initially, they move to the right at the same velocity, and once they enter the region of magnetic field they follow these paths (not perfectly to scale, but enough to get the idea): Which path is which particle? (Remember, electrons and protons have equal and opposite charge, but protons have about 2000x the mass of an electron.) Which direction is the magnetic field pointing? Explain both answers. (b) A loop of wire moving over a stationary bar magnet will have a current induced, due to the magnetic force acting on the mobile charges in the wire. From a different frame of reference, a bar magnet moving past a stationary loop of wire will have a current induced due to a (Faraday) electric force acting on the mobile charges in the wire. Answer these questions about the Faraday-induced electric field of a moving bar magnet, and explain your reasoning: (1) What might the electric field lines look like in (or near) the loop of wire? (Remember, there are no net charges around for field lines to start or stop! And, the field has to induce a net current.) (2) Does the Faraday-induced electric field exist outside of the wire, or just inside the wire? (3) Does the Faraday-induced electric field exist if the magnet is at rest, and how could you tell experimentally if you are right?
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