The figure below shows two parallel conducting rails, oriented vertically, conne

Question

The figure below shows two parallel conducting rails, oriented vertically, connected to each other at the top by a wire with a resistance R. A conducting metal rod is oriented horizontally and is in contact with the two vertical rails. The horizontal rod has a length

and mass 33.3 g. The rod is released from rest at location A and begins to fall through a region of uniform magnetic field indicated by the shaded area in the figure. When the rod reaches point B, there is an induced current of 2.85 A flowing to the right in the rod, and the rod is moving downward with an acceleration of magnitude 7.85 m/s2.

What are the direction and magnitude of the magnetic field in the shaded region?

http://www.webassign.net/webassignalgphys1/23-p-019a.gif

magnitude     T direction     ---Select--- upward downward toward the left toward the right into the page out of the page



The figure below shows two parallel conducting rails, oriented vertically, connected to each other at the top by a wire with a resistance R. A conducting metal rod is oriented horizontally and is in contact with the two vertical rails. The horizontal rod has a length L = 46.7 cm and mass 33.3 g. The rod is released from rest at location A and begins to fall through a region of uniform magnetic field indicated by the shaded area in the figure. When the rod reaches point B, there is an induced current of 2.85 A flowing to the right in the rod, and the rod is moving downward with an acceleration of magnitude 7.85 m/s2. What are the direction and magnitude of the magnetic field in the shaded region?

Explanation / Answer

m g - i L B = m a

==> B = m (g - a)/(i L) = 33.3e-3*(9.8-7.85)/(2.85*0.467) = 0.0488 T

direction: into the page

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