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Unformatted text preview: ECE 309 Electromagnetic Fields University of Virginia Fall 2008 Homework # 9 Maxwells Equations and Poyntings Theorem Due: Friday, November 21 1. For a coaxial cylindrical capacitor or radii a and b and length , find the total displacement current flowing across any cylindrical surface of radius r ( a < r < b ), taking the voltage variation as sinusoidal in time, and the variation of the electric field with radius the same as in statics. Show that the result is independent of radius and equal to the charging current for the capacitor. 2. The instantaneous electric field inside a source-free, homogeneous, isotropic, and linear medium is given by, ~ E = h xA ( x + y ) + yB ( x- y ) i cos( t ) Determine the relation between A and B . 3. The instantaneous electric field inside a conducting rectangular pipe (a waveguide) is given by, ~ E = yE sin x a cos( t- z z ) where z is called the waveguides phase constant. Assuming that no sources exist insideis called the waveguides phase constant....
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This note was uploaded on 10/16/2010 for the course ECE 309 taught by Professor Weikle during the Spring '08 term at UVA.
- Spring '08