A coil A A\,A is connected in series with a DC power source and a switch. Initially, the switch is open and no current flows. A second closed, coaxial conducting ring B B\,B is situated parallel to A A\,A and to its right.

When the switch is closed, the current in coil A A\,A rises from zero to a steady value. Which row in the table below correctly describes the magnetic force experienced by coil B B\,B during this growth process?
Force magnitude: increases to a constant value; Direction of force: to the left
Force magnitude: increases to a constant value; Direction of force: to the right
Force magnitude: increases then decreases; Direction of force: to the left
Force magnitude: increases then decreases; Direction of force: to the right