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Problem Set 6

# Problem Set 6 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2008 Problem Set 6 Due: Wednesday, March 19 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): Magnetic Fields Find the magnetic field at point P due to the following current distributions: (a) (b) Problem 2 (10 points) Slabs of Currents: The figure below shows two slabs of current. Both slabs of current are infinite in the x and z directions, and have thickness d in the y - direction. The top slab of current is located in the region 0 < y < d and has a constant current density ˆ out J = Jz G out of the page. The bottom slab of current is located in the region -d < y < 0 and has a constant current density ˆ in J = − G into the page. (a) What is the magnetic field for yd > ? Justify your answer.

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(b) Use Ampere’s Law to find the magnetic field at y = 0 . Show the Amperian Loop that you use and give the magnitude and direction of the magnetic field.
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Problem Set 6 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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