1. The problem statement, all variables and given/known data A square loop with sides l is centered on the origin and fixed in the center so it is free to rotate around the x-axis. A magnetic field is changing with time B=B_0(1-exp(-a*t)). I need to find a differential equation to describe the motion of the rotating loop 2. Relevant equations Faraday's law: emf=-d/dt(integral(B*dA)) 3. The attempt at a solution I'm fairly certain that I need to use this to find it's motion, but when I do the math, I get EMF=-dB/dt*dA/dt, and differentiating the magnetic field gives EMF=-dA/dt*a*exp(-a*t). But I don't see how this describes the motion? Am I doing something wrong? Thanks in advance!