Consider the arrangement shown in the diagram: a conduction bar slides along a U

Question

Consider the arrangement shown in the diagram: a conduction bar slides along a U-shaped conduction rail of width w under the action of an applied foce which maintains its constant velocity v = vi (i.e. to the right). There is a uniform magnetic field B directed perpendicular to, and out of, the page. Express all of your quantitative answers in terms of some or all of w, x, v, and/or B only. If an answer is a direction (up, down, left, right, in or out), give an explanation justifying your answer.

1. When the bar is at position x, what is the magnetic flux through the closed circuit?

2. What is the magnitude of the emf around the circuit?

3. The induced current will produce a contribution to the magnetic field. In which direction will this field be (inside the rectangular loop)?

4. In which direction (up or down) through the conduction bar will the induced current flow?

5. What is the direction of the magnetic force on the conducting bar?

Answers:

1. Bwx

2. Bwv

3. Into the page

4. Down

5. To the left

Really need help with this one! Explanation and formulas would be great! Thanks!

Explanation / Answer

a)flux=Bwx

b)BwV

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