1. The problem statement, all variables and given/known data A square loop made of wire with negligible resistance is placed on a horizontal frictionless table. The mass of the loop is m and the length of each side is b. a nonuniform vertical magnetic field B=B0(1+kx) exists in the region, where B0 and k are constants. The loo is given a quick push with initial velocity v along x-axis. The loop stops after a time interval T. Find the inductance of the loop. 2. Relevant equations emf(ind) = -L*dI/dT U=1/2*L*I^2 emf= -delta flux/delta t 3. The attempt at a solution well, I am sort of in a loss for this one. I tried to get the induced emf by finding dflux/dt: flux =integral ( B0*(1+kx) * b dX ) = b*B0*(b*2*k*x+b^2*k+2*b)/2 change of flux in regards with time = dphi/dx * dx/dt = b^2*k*B0*v (because velocity= dx/dt) so emf is b^2*k*B0 now Im not sure what to do, since the resistance is negligble and i cant find the current from it.... also the whole time interval thing, where does it come into play (kinematics ?) and should I use conservation of energy here ? 1/2 * m * v^2 = 1/2 * L * I^2 ? for some reason I don't think its the right way just thoroughly confused with this one. please help !