The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of theta= 39.0 degrees. There is a resistor at the top of the ramp that connects the two conducting rails (R = 1.6 ohms). The mass of the rod is 0.39 kg. The rod starts from rest at the top of the ramp at time t = 0. The rails have negligible resistance and friction, and are separated by a distance L = 15.9 m. There is a constant, vertically directed magnetic field of magnitude B = 1.30 T.
1.) Find the emf induced in the rod as a function of its velocity down the rails. What is the emf when the velocity is 6.81E-3 m/s?
2.) What is the rod's terminal speed?
3.) When the rod moves at its terminal speed, what is the power dissipated in the resistor?