In the sketch, a bar is moving to the right at constant speed of 30.0 m/s in a uniform magnetic field of 8.0 T directed into the page. The resistance R is 6.0 . The separation L between the rails is 3.0 m. The bar slides with no friction while making continuous electrical contact with the rails. Find the current flowing in the resistor and the direction of the current.

Complete Question

The diagram for this question is shown on the first uploaded image

The current is

the direction is counter clockwise

Explanation:

From the question we are told that

       The speed of the bar is  

        The magnetic field is

        The resistace is

       The seperation is

The induced emf due to the change in magnetic flux as a result of the bar

sliding is mathematically represented as

Substituting values

 According to ohm law

Substituting values

     According to Lenz's law the emf should be opposing the magnetic force  which produced it so since the magnetic force is  moving in the clockwise direction the current due to the emf would be moving in a counter clockwise direction

0.11 m/s and 0.28 m/s should be correct

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