Electromagnetics: Moving loop in a static magnetic field

[JasonHathaway]

Homework Statement

A conducting square loop (L × L) moving with velocity v_{o ay} m/s where the magnetic flux density is B=B_{o ax} Wb/m² in 0 < y < 2L, and is equal to zero when 0 > y and y > L. Determine the current in the loop and plot its magnitude as a function in the loop's position in the y-axis. Assume the loop's front at y=0 and t=0 (time), and its resistance is R Ω.

Homework Equations

I=V/R (Ohm's law)
V_emf=u × B × dl (× refers to cross product, u is the velocity)

The Attempt at a Solution

V_emf=- v_o B l V
I=V_emf/R = ( - v_o B l )/ R A

I don't know whether I am doing OK or not. I feel like I've missed up with dl. Can anyone clarify?

 

[rude man]

Homework Equations

I=V/R (Ohm's law)
V_emf=u × B × dl (× refers to cross product, u is the velocity)

This formula is wrong, in fact, it's not a formula at all since you can't write "a x b x c". Plus, you're equating a differential quantity with a finite quantity. You need to be more careful with your vector math. But express V as a differential and fix your "u × B × dl" term, and you're there.
As for your "Vemf=- vo B l V", that is OK in magnitude but you need to get the vector formula right to determine the direction of the current. Or use Lenz's law.
And BTW V is not a vector.