117-11HMWRK4 - Prof E Yablonovitch Homework#4 ELECTROMAGNETIC FIELDS AND WAVES EE117 assigned Feb 28 2011 Due 5PM Monday Mar 7 2011 Please put the

# 117-11HMWRK4 - Prof E Yablonovitch Homework#4...

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Prof. E. Yablonovitch ELECTROMAGNETIC FIELDS AND WAVES EE117 Homework #4; assigned: Feb. 28, 2011 Due 5PM, Monday, Mar. 7, 2011 Please put the completed homework in the plastic tray on my door, 267M Cory 1. You have an infinitely long bar magnet, in the form of an iron cylinder 1cm in diameter, centered at the origin, and pointing in the z-direction. The permanent magnetic field inside the iron cylinder is B=1Tesla. (a) Using the definition of Vector Potential B ≡∇× A, please give a numerical formula for A(x,y,0) outside the magnetic cylinder. (b) Please give a numerical formula for A(x,y,0) inside the magnetic cylinder. (Note 1: Since the bar magnet is infinitely long, the field is concentrated inside the magnet, and the B-field outside the magnet, in the z=0 plane is negligible. Note 2: Please note, surprisingly, that A 0 even in regions of space where B=0.) 2. Do problem 7.6 on page 346 in Ulaby 6

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• Fall '09
• Electromagnet, Magnetic Field, bar magnet, Ulaby, iron cylinder, Ulaby 6th edition

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