A conducting bar is sliding at velocity v to the right on the V-shaped conducting rail. There is a uniform magnetic field B out of the page. The rails are frictionless and resistance less. The bar consists of a resistance x per unit length. The half-angle of the V is A.
(i) Determine the current I as a function of time (taking the position of the bar to be x = 0 at time t = 0)?
(ii) Determine the direction of the current?
(iii) Determine the magnitude and direction of the force needed to maintain the constant velocity versus time?