Practicing Lenz’s law and finding the direction of the induced current in a rectangular loop

A single-turn rectangular loop of width W and length L moves parallel to its length with a speed v. The loop moves from a region with a magnetic field B perpendicular to the plane of the loop to a region where the magnetic field is zero, as shown in the figure. Find the rate of change in the magnetic flux through the loop in the following moments:
a) Before it enters the region of zero magnetic fields,
b) Just after it enters the region of zero magnetic fields,
c) Once it is entirely within the region of zero fields,
d) For each case considered in parts (a), (b), and (c), state whether an electric current is induced in the loop or not.
e) For each case considered in part (d), find the direction of the induced current (clockwise, counterclockwise, or zero). Explain your reasoning in a sentence or two.

Learning Goals:
• Practicing how to use the rate of the magnetic flux change (Lenz’s law) to find the direction of the induced magnetic field.
• Using the induced magnetic field to find the direction of induced current in the loop.

Timeline:
00:18 – Reading the problem statement and analyzing it
01:50 – Finding the rate of change in magnetic flux and direction of the induced current before it enters the region of zero magnetic fields
02:08 – Part (B) Finding the rate of change in magnetic flux and direction of the induced current just after it enters the region of zero magnetic fields
03:27 – Part (C) Finding the rate of change in magnetic flux and direction of the induced once it is entirely within the region of zero fields