A conducting bar of mass M and length ? is given an initial speed v0 on a smooth horizontal conducting rail as shown in the figure below. Assume the system has a constant inductance L, and note that the applied magnetic field B is into the page as shown in the figure. Find the maximum distance the bar travels before it stops. Hint: Use the relationship B?(dx/dt) = L(dI/dt). (Use any variable or symbol stated above as necessary. For the magnitude of B , use B.) Solution a) I = induced current E = induced emf = Blv R = resistance Using ohm\'s law I = E/R I = Blv/R taking derivative both side relative to \"t\" dI/dt = (Bl/R) (dv/dt) Given that Bl (dx/dt) = L (dI/dt ) Bl (dx/dt) = (BLl/R) (dv/dt) dx = (L/R)Â Â (dv) intergrating both side x max = - Lv o /R .