Question
Induced Currents A loop of wire is being pushed into a B = 1 T magnetic field at v = 10 m/s. The resistance of
Induced Currents A loop of wire is being pushed into a B = 1 T magnetic field at v = 10 m/s. The resistance of the loop is R= 10 ?. Before the bottom side enters the magnetic field:
(a) What is the direction of the force due the the magnetic field on the charges that make up the loop in each of the four sides?
(b) Will there be a buildup of positive charge on one side or the other? Which side?
(c) What is the strength of the force on a given charge q?
(d) The charges will polarize due to the magnetic force until there is an electric force that balances it out. What must be the strength of this electric force? (Again for a given charge q).
(e) What is the corresponding electric field?
(f ) Using what you know about electric fields causing changes in potential, what is the potential difference between the end points of the top side? (Hint: this is the same as finding the potential difference due to an electric field in a wire, for example)
(g) Draw a circuit diagram that takes into account this potential difference (model it as a battery) and the loop resistance.
(h) What is the magnitude of the current in the loop?
(i) What is the direction of the current? (Clockwise vs counterclockwise)
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