Answer
See answers.
Work Step by Step
a. Yes. The battery is connected to the front loop and current starts to flow clockwise. By the right hand rule, this creates an increasing primary magnetic field that points away from you. The magnetic flux will be changing in the second loop, which means that an emf and current will be induced in it.
b. The induced current in the second loop starts right when the magnetic flux through it changes. This happens the instant you connect the battery to the front loop (there is a fraction of a nanosecond delay due to the time for the magnetic field to propagate to the second loop, but that is negligible and far beyond the ability of human senses to detect).
c. The current in the second loop stops as soon as the flux in it stops changing. This occurs when the current in the front loop reaches its steady-state value, and the magnetic field it creates doesn’t change anymore. At that instant, the magnetic flux through the second loop is constant and the induced current becomes zero.
d. The induced current in the second loop is counterclockwise. As the battery is connected, the number of magnetic field lines going through the second loop, pointing away from you, increases with time.
The induced current in the second loop will cause a field to oppose this change in magnetic flux. The secondary field makes magnetic field lines through the loop that point toward you. By the right hand rule, a counterclockwise induced current appears in the second loop.
e. Yes. Both loops carry currents and create magnetic fields (for a short interval, as described above). Each current sits in the magnetic field created by the other loop, and feels a force.
f. The force between the two loops is repulsive. The directions of the currents in the 2 loops is described above. This is equivalent to two magnetic dipoles whose north poles are between the 2 loops, pointing at each other. Like poles repel.
A second way to see this is to note that the two currents flow in opposite directions (front loop: clockwise, back loop: ccw). Currents that flow in opposite directions repel one another.
