1. A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance I apart as shown in figure below. A resistor R is connected across the rails, and a magnetic field B, pointing into the page, i.e., in direction, fills the entire region. Attempt following questions: If the bar moves to the right at speed v, what is the current in the resistor? In what direction does it flow? Calculate the emf generated in the loop. For uniform magnetic field, aB/at = 0. Can we use differential form of Faraday's law to calculate induced emf in the loop. If not, explain why? What is the magnetic force on the bar? In what direction? If the bar starts out with speed vo at time t 0, and is left to slide, what is its speed at a later time t? The initial kinetic energy of the bar was, of course, mu/2. Check that the energy delivered to the resistor is exactly mu/2. Calculate the current if magnetic field is given by B = sin t. Can we use integral or differential form of Faraday's law to evaluate emf for this case. Give an explanation for your answer.