Chapter 1, Problem 2DQ

A rectangle measuring 30.0 cm by 40.0 cm is located inside a region of a spatially uniform magnetic field of 1.70 T , with the field perpendicular to the plane of the coil (the figure (Figure 1)). The coil is pulled out at a steady rate of 2.00 cm/s traveling perpendicular to the field lines. The region of the field ends abruptly as shown. Find the emf induced in this coil when it is all inside the field, when it is partly in the field, and when it is fully outside. Please show all steps.

A rectangular circuit is moved at a constant velocity of 3.00 m/s into, through, and then out of a uniform 1.25 T magnetic field, as shown in the figure (Figure 1). The magnetic field region is considerably wider than 50.0 cm . Find the direction (clockwise or counterclockwise) of the current induced in the circuit as it is going into the magnetic field (the first case), totally within the magnetic field but still moving (the second case), and moving out of the field (the third case).  Find the magnitude of the current induced in the circuit as it is going into the magnetic field . Find the magnitude of the current induced in the circuit as it is totally within the magnetic field but still moving. Find the magnitude of the current induced in the circuit as it is moving out of the field. Please show all steps

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 161 cm , but its circumference is decreasing at a constant rate of 15.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop. Find the magnitude of the emf E induced in the loop after exactly time 9.00 s has passed since the circumference of the loop started to decrease. Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field. Please explain all steps