In the figure, a 42 cm length of conducting wire that is free to move is held in

Question

In the figure, a 42 cm length of conducting wire that is free to move is held in place between two thin conducting wires. All of the wires are in a magnetic field. When a 9.0 A current is in the wire, as shown in the figure, the wire segment moves upward at a constant velocity. The acceleration of gravity is 9.81 m/s2 . Assuming the wire slides without friction on the two vertical conductors and has a mass of 0.15 kg, find the magnitude of the minimum magnetic field that is required to move the wire. Answer in units of T. What is its direction? Into the page Toward the right edge of the page Out of the page Toward the bottom edge of the page None of these Toward the left edge of the page Toward the top edge of the page

Explanation / Answer

L = 42 cm, I = 9 A, m = 0.15 kg, g = 9.81 m/s2 constant velocity ==> no acceleration ==> net force = 0 mg = IBL. B = mg/(IL) = 0.389 T magnetic force up, current to the left, by the right hand rule, Bis out of the page

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