A horizontal wire is free to slide without friction on the vertical rails of a conducting frame, as in the figure below. The wire has a mass m and length I, and the resistance of the circuit is R. A uniform magnetic field B is directed (out of the page) perpendicular to the frame. What is the terminal speed of the wire as it falls under the force of gravity? (Hint: Once the terminal speed is reached, there is no acceleration on the falling object, thus the sum of all the forces acting on the object must be equal to zero.) Do check units! 1 Ohm: 2= (kg-m?/(C2-s) 1 Tesla: T=kg/(C:s) B(out of the page) 1.

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A horizontal wire is free to slide without friction on the vertical rails of a conducting frame, as in the figure
below. The wire has a mass m and length I, and the resistance of the circuit is R. A uniform magnetic field B is
directed (out of the page) perpendicular to the frame. What is the terminal speed of the wire as it falls under the
force of gravity?
(Hint: Once the terminal speed is reached, there is no acceleration on the falling object, thus the sum of all the
forces acting on the object must be equal to zero.) Do check units!
1 Ohm:
= (kg-m³)/(C²-s)
1 Tesla: T=kg/(C:s)
B(out of the page)
1.
Transcribed Image Text:A horizontal wire is free to slide without friction on the vertical rails of a conducting frame, as in the figure below. The wire has a mass m and length I, and the resistance of the circuit is R. A uniform magnetic field B is directed (out of the page) perpendicular to the frame. What is the terminal speed of the wire as it falls under the force of gravity? (Hint: Once the terminal speed is reached, there is no acceleration on the falling object, thus the sum of all the forces acting on the object must be equal to zero.) Do check units! 1 Ohm: = (kg-m³)/(C²-s) 1 Tesla: T=kg/(C:s) B(out of the page) 1.
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