Shown below is a conducting rod that is movable on a U$-$shaped conducting rail. The rod and rail sit inside a uniform magnetic field $=100$ Gauss created by a permanent magnet. The magnetic field is pointing out of the paper plane. There is a constant, counter$-$clockwise current $=1$A flowing in the loop formed by rod and rail Let the length of the rod be $=10cm.$

a$)$ Is the rod sitting still or moving? If moving, in which direction? is it moving at a constant velocity or accelerating? $(5)$

b$)$ Calculate the force on the rod numericality. $(5)$

c$)$ Does the whole structure $($rod$+$U$-$shaped rail$)$ experience a torque? Why or why not? $(5)$

d$)$ Now assume the magnetic field is switched so it is pointing up instead of pointing out of the page, What will happen to the structure? Do you expect the rod, that is sitting freely on the rail, to stay on it$?$ Explain