1. The problem statement, all variables and given/known data A square loop of side length L is moving in the x direction with velocity v. v=vx. B points along the z axis and is defined by B=αxez where α is a constant. Find EMF along the loop Hint: Find forces on charges in rod by virtue of motion of the rod. 2. Relevant equations ε=-d[itex]\Phi[/itex]B/dt 3. The attempt at a solution I figured that [itex]\Phi[/itex]B=∫B[itex]\cdot[/itex]da=BL2cosθ. Because the field is perpendicular, [itex]\Phi[/itex]B=BL2 ^^^I was told this was incorrect So therefore ε=d(αxeL2)/dt, giving ε=αeL2v This is incorrect I was told, and looking now I see that the B field varies with x. I was given a hint to "do the integral [itex]\Phi[/itex]=∫B[itex]\cdot[/itex]da" When I look at this, I think that da is constant at L2 so I don't see how this helps me. The hint also doesn't help me either. My work is attached below. Thank you!