1. A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance...

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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 muž/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. 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 muž/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.