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Problem Set 8

# Problem Set 8 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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PS08 Sample Exam 2 Solutions, p. 1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2008 Problem Set 8 Solutions Due: Wednesday, April 9 at 11 am. Hand in your problem set in your section slot in the boxes outside the door of 32- 082. Make sure you clearly write your name, section, table, group (e.g. L01 Table 3 Group A) Problem 1 : (10 points) Read Experiment 5. http://web.mit.edu/8.02t/www/materials/Experiments/exp05.pdf (a) Calculating Flux from Current and Faraday’s Law. In part 1 of the lab you moved a coil from well above to well below a strong permanent magnet. You measured the current in the loop during this motion using a current sensor. The program also displayed the flux “measured” through the loop, even though this value is never directly measured. (i) Starting from Faraday’s Law and Ohm’s law, write an equation relating the current in the loop to the time derivative of the flux through the loop. (ii) Now integrate that expression to get the time dependence of the flux through the loop Φ ( t ) as a function of current I ( t ). What assumption must the software make before it can plot flux vs. time? (b) Predictions: Coil Moving Past Magnetic Dipole In moving the coil over the magnet, measurements of current and flux for each of several motions looked like one of the below plots. For current, counter-clockwise when viewed from above is positive. For flux, upwards is positive. The north pole of the magnet is pointing up.

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