Problem 2 The figure below shows the same long straight wire with current i to the right and wire loops that we have been examining for the past few homework sets. In this problem, we will focus just on loop (a), the larger square loop on the left. At the time depicted in the figure, the upper edge is at some distance a from the long wire, the loop has edge length L, and has resistance R. Note that this is essentially the same situation as presented in example 27.2 in the text PHY 205 Homework 11- Due November 20, 2019 2 b The loop has clockwise current iL flowing around it, but this time the source of the current in the loop is a changing magnetic flux through it. The flux may be changing because the straight-line current, i, is changing in time while the loops remain in the locations shown (and therefore the field is changing at the location of the loops) or because the loops are moving while the straight wire current remains constant (a) At the time depicted by the diagram, what is the flux through the square loop, as a function of the parameters listed in the problem statement? (Note that the field is NOT uniform so you do have to set up an integral similar to the one in the example.) (b) If the currents in the straight wire and loop are as shown above, and the loop current is due to the wire current changing, is that wire current increasing in magnitude or decreasing? (c) Use the flux you worked out in part (a), which is a function of the wire current i, to answer the following: If the the loop current is due to a wire current that is changing at a constant rate di/dt, what is the magnitude of the induced EMF and the induced current i in the loop? (d) If the loop current is, instead, due to the motion of the loop, in which of the following directions could the loop be moving: toward the wire, away from the wire, to the left, or to the right? (e) If the loop current is due to the motion of the loop, and it is moving with speed v = what is the EMF and current il (again, in terms of the parameters given) in the loop? Note a is now the variable that is changing in time, and we have flux in terms of a - don't forget the chain rule in taking derivatives. da/dt,