Thanks for the explanation.
I get the reasoning, but I thought that the B induced should oppose the change in magnetic flux hence it is into the page?
I know you're right, but how would I differentiate between field directions?
From what I know, what actually happens is that the induced current creates the induced field.
When in the current is in a loop, this induced field opposes the change in the flux that produced it. With relative motion, the situation in Question 6, the field created by the induced current applies a force that opposes the motion.
Wikipedia describes Lenz's Law as "An induced current is always in such a direction as to oppose the motion
or change causing it". So I don't think it matters which way you look at it (flux is opposed or motion is opposed), but there always has to be some form of opposition (in order to not violate the conservation of energy).
When applying the right hand slap rule, both the field and the force cannot be reversed in direction at the same time; It would be like simply rotating the vectors, not actually changing anything.
It's kind of confusing and I don't really understand this beyond the right hand rule, but this makes some sense to me. Try playing around with this applet:
http://www.phy.syr.edu/courses/java-suite/crosspro.html. Reverse the direction of A and see what happens. Then reverse the direction of A and B and then see what happens to C. Khan Academy has some videos on the cross product in the physics section - I haven't watched them yet, but they should clear things up.
If you look at it as if the field is opposing the change in magnetic flux, but this would mean that the direction of motion would have to remain the same. So you'd have field into the page, force to the right which leaves the thumb point south. Which is X to Y, the same answer.
Feel free to correct me. I'm not 100% sure on this (I think I contradicted myself somewhere), someone else might want expand on it.