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 L 54.7 cm and mass 30.3 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 2.75 A flowing to the left in the rod, and the rod is moving downward with an acceleration of magnitude 7.85 m/s. What are the direction and magnitude of the magnetic field in the shaded region? magnitude -Select u Tutorial

Explanation / Answer

magnetic force, Fb = IL x B

as acceleration is less than g (9.8 m/s^2) so Fb is upward.

and IL-> -i

Fb -> j

j = -i^ x B^

=> B^ -> k^ Or out of page

F_net = m g - Fb = m a

(30.3 x 10^-3 x 9.8) - (2.75 x 0.547 x B) = (30.3 x 10^-3 x 7.85)

B = 0.0395 T  

Magnitude = 0.0395 T  

direction = out of page

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