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 = 50.0 cm and mass 35.0 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 1.85 A flowing to the left 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?

Magnitude? ___ T

Direction?

Explanation / Answer

step;1

Given that

induced emf I=1.85 A

acceleration a=7.85 m/s^2

length L=0.5 m

mass m=0.035 kg

step;2

now we find the magnitude of the magnetic field

the magnetic field B=ma/iL=0.035*7.85/0.5*1.85

=0.275/0.925

=0.2973 T

the direction of the magnetic field is plane of the paper

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