1. (3 pts) A conducting bar that is free to move without friction lies on conducting...

 

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1. (3 pts) A conducting bar that is free to move without friction lies on conducting rails in a horizontal plane and completes an electrical circuit. The bar on the right has length W = 12 cm and has electrical resistance equal to 100 , larger than any other part of the circuit. See the figure below. The entire apparatus is immersed in a constant magnetic field pointing upwards (out of the screen in the figure). The magnetic field is fixed at 0.1T and the bar is moved to the right at 0.01 m/s. BO a. What is the magnitude and direction of the force on a single electron in the moving bar? b. The same force on an electron would be achieved by an electric field of what magnitude and direction? c. What is the integral J E ds W . of this field over the length of the bar? d. Using Faradays law, what is the value and direction of the EMF in this circuit? How does this compare with the answer to Part c? e. How much current does this cause to flow in the circuit and in what direction? f. How much power is dissipated in the resistor due to this current flow? g. What is the magnitude and direction of magnetic force on the moving rod due to the current in the rod? h. What power must the external force supply to counter the magnetic force on the rod? i. How do the answers to parts f and h compare? Why must this be the case? 1. (3 pts) A conducting bar that is free to move without friction lies on conducting rails in a horizontal plane and completes an electrical circuit. The bar on the right has length W = 12 cm and has electrical resistance equal to 100 , larger than any other part of the circuit. See the figure below. The entire apparatus is immersed in a constant magnetic field pointing upwards (out of the screen in the figure). The magnetic field is fixed at 0.1T and the bar is moved to the right at 0.01 m/s. BO a. What is the magnitude and direction of the force on a single electron in the moving bar? b. The same force on an electron would be achieved by an electric field of what magnitude and direction? c. What is the integral J E ds W . of this field over the length of the bar? d. Using Faradays law, what is the value and direction of the EMF in this circuit? How does this compare with the answer to Part c? e. How much current does this cause to flow in the circuit and in what direction? f. How much power is dissipated in the resistor due to this current flow? g. What is the magnitude and direction of magnetic force on the moving rod due to the current in the rod? h. What power must the external force supply to counter the magnetic force on the rod? i. How do the answers to parts f and h compare? Why must this be the case?