electricity and magnetism

giladsof

ideasrule

You're trying to calculate the current induced by the movement of the rod. That current is 0 when the rod is at equilibrium, because the rod wouldn't be moving. Even when it's not at equilibrium, the induced current is usually so small as to be negligible compared to the current supplied by the power source.

So you just need to consider the force applied by the magnetic field on the rod, due to the existing current I. There's no need to consider induction.

giladsof

OK.... As I try your idea I get into the following dilemma: which way is V? The movement of the rod or the movement of the current?

Unfortunately neither one of those options creates a force upwards using the right hand rule... \: