Show all work. Draw diagrams and explain answers as needed. Below is a rectangul
ID: 1302403 • Letter: S
Question
Show all work. Draw diagrams and explain answers as needed.
Below is a rectangular region where a uniform magnetic field extending out of the page exists. The field region abruptly ends along the perimeter of the rectangle. A loop of wire is shown to the right. a) The wire is pulled to the left, starting outside the rectangle, entering it and then exiting. Describe the direction of the induced current (if any) that will flow in the wire. Note: there may be intervals where no current flows. Be specific and explain your reasoning. b) Would the results be the same or different if the wire were pulled to the right starting outside the rectangle on the left and then exiting on the right? Explain. c) How could the coil be moved (still facing out as shown) so that no induced current flows? Explain your answer.Explanation / Answer
a) When the wire is pulled inside the magnetic field region, The magnetic flux starts to increase, SO, the direction of the induced current will tend to minimize this effect. Therefore the direction of induced current will be such that the induced magnetic field by the wire will be inside the page direction. This can be done by a current in CLOCKWISE DIRECTION as per right hand thumb rule.
When the wire loop will fully enter the region of magnetic field and continue to move forward, the change in magnetic flux through the loop will be zero. And hence no current will flow through the circuit.
Again when the coil starts to leave the magnetic field region, a current will be induced because the magnetic flux will be changing ( decreasing ) so, the direction of the induced magnetic field mus be outside the paper, and this is possible by a current induced in COUNTERCLOCKWISE DIRECTION.
b) The results will be SAME, as the direction of induced current doesnot depend upon the direction of motion but it depends upon the change in flux. First the change in flux is checked and then the direction of induced current is decided according to the pre-present magnetic field. When the coil moves from left to right, first it will experience an increase in magnetic flux as in part (a), then an area of no current and finally an area of decreasing magnetic flux. So the directions of induced current will remain SAME.
c) For zero induced current, The magnetic field present must be turned OFF or the path can be traversed along the perimeter of the rectangle, where there is absence of magnetic field.
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