Electromagnetic Induction...

[MCAT guy]

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So I was doing a practice passage and came across an answer solution...

In the problem there is a rod sliding across and completing a circuit, obviously by sliding across the area the flux increases through this area inducing voltage/electric potential...

Then there was this question:

If the rod in figure 2 (just as described above) is released with zero velocity and if the rails on which the rod sits are frictionless, the rod will

A. not move when a current is running through the resistor
D. remain stationary, to keep the flux through the circuit loop constant

I actually answered this one right BUT I don't understand answer A, in the solutions they said:

using the right hand rule on a current running through the wire shows you that the rod is pushed either to the right or to the left(depending on the direction of the current). This invalidates choice A, magnetic flux tends not to change.

So I understand that the new magnetic field created is in response to a resist the change that you are making by shifting the rod (increasing area), but I do not understand why they are saying that the rod will actually move when a current runs through the circuit.

Are they saying my actually creating the current, I create a magnetic field and then THIS is causing the rod to actually slide across the circuit?

here is a related picture I found on the web, although not my problem:

(I guess, looking at the picture below I'm trying to figure out if I drop the rod with zero velocity and then push a current through, will I actually cause this rod to move?)