A slide wire of length l, mass m, and resistance R slides down a U-shaped metal track that is tilted upward at angle θ. The track has zero resistance and no friction. A vertical magnetic field B fills the loop formed by the track and the slide wire.

a. Find an expression for the induced current I when the slide wire moves at speed v.

b. Show that the slide wire reaches a terminal speed v_term, and find an expression for v_term.