The figure below shows a circular loop of wire moving to the left through a region of uniform magnetic field pointing into the screen. The magnetic field only exists in the dashed region with the blue crosses. Five times are shown. a) t₂ to t3 X X X t5 -Ö 0:0:0 0- b) t4 to t5 IX t4 X For each time interval noted below, answer the following questions: 1) Will there be an induced current in the loop? If not, explain why not. 2) If there is an induced current in the loop, will it be clockwise or counterclockwise? Explain how you know! 4 X X X X B
Solution:
A circular loop moves towards the left in the uniform magnetic field into the page. Different time intervals of circular loop motion are noted.
1) Will there be an induced current in the loop?
Whenever the magnetic flux linked with the loop changes an induced current will be produced in the loop. During time t1, there is no magnetic field entering into the loop. As the loop starts moving toward the left, the change in the magnetic flux increased with time t. At the time t3, the magnetic flux linked with the coil is maximum. During these time intervals, the magnetic flux lines linked with the loop change with time. So the induced current will be produced. After the time t3, the magnetic flux starts decreasing with time, and the induced current is produced in the opposite direction.
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