ps09 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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PS09-1 MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2010 Problem Set 9 Due: Tuesday, April 13 at 9 pm. 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 and section on your problem set. Text: Liao, Dourmashkin, Belcher; Introduction to E & M MIT 8.02 Course Notes. Week Ten Faraday’s Law Class 22 W10D1 M/T Apr 5/6 Faraday’s Law; Expt.7: Faraday’s Law Reading: Course Notes: 10.1-10.3, 10.8-10.9 Experiment: Expt.7: Faraday’s Law Class 23 W10D2 W/R Apr 7/8 Problem Solving Faraday’s Law; Inductance & Magnetic Energy, RL Circuits Reading: Course Notes: 10.1-10.4, 10.8-10.9, 11.1-11.4 Class 24 W10D3 F Apr 9 Special Lecture: Applications of Faraday’s Law Reading: Course Notes: 10.1-10.4, 10.8-10.9, 11.1-11.4 Campus Preview Weekend Week Eleven AC Circuits Class 25 W11D1 M/T Apr 12/13 Undriven RLC Circuits; Expt. 8: RL Circuits and Undriven RLC Circuits Reading: Course Notes: 11.5-11.11 Experiment: Expt. 8: RL Circuits and Undriven RLC Circuits Class 26 W11D2 W/R Apr 14/15 Driven RLC Circuits Reading: Course Notes: 12.1-12.7 Class 27 W11D3 F Apr 16 PS08: RLC Circuits Reading: Course Notes: 12.8-12.9
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PS09-2 Problem 1: Short Questions (a) When a small magnet is moved toward a solenoid, an emf is induced in the coil. However, if the magnet is moved around inside a toroid, no measurable emf is induced. Explain. (b) A piece of aluminum is dropped vertically downward between the poles of an electromagnet. Does the magnetic field affect the velocity of the aluminum? Explain. (c) What happens to the generated current when the rotational speed of a generator coil is increased? (d) If you pull a loop through a non-uniform magnetic field that is perpendicular to the plane of the loop which way does the induced force on the loop act? Problem 2: Moving Loop A rectangular loop of dimensions l and w moves with a constant velocity v G away from an infinitely long straight wire carrying a current I in the plane of the loop, as shown in the figure. The total resistance of the loop is R . (a) Using Ampere’s law, find the magnetic field at a distance s away from the straight current-carrying wire. (b) What is the magnetic flux through the rectangular loop at the instant when the lower side with length l is at a distance r away from the straight current-carrying wire, as shown in the figure? (c) At the instant the lower side is a distance r from the wire, find the induced emf and the corresponding induced current in the rectangular loop. Which direction does the induced current flow?
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PS09-3 Problem 3: Faraday’s Law A conducting rod with zero resistance and length w
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This note was uploaded on 04/20/2010 for the course PHYSICS 8.02 taught by Professor Hughes during the Spring '08 term at MIT.

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ps09 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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