Answer
a) counter-clockwise
b) counter-clockwise
Work Step by Step
(a) We know that the magnetic field lines leave the north pole and enter the south pole. There is a change in the magnetic flux and it increases to the right. This change by decreasing the magnetic flux on her left and increasing on her right will be accounted by the coils. Thus, the current in the coil on her right will turn counter-clockwise, forming a magnetic field that opposes the field created by the magnet in her teeth.
(b) We know that to her left, the current in the coil will turn counter-clockwise, forming a magnetic field that accounts for the increase in the magnetic flux on her left side.