Exam1 - ELEG 413 Field Theory II Exam#1 Spring 2011 Name...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
ELEG 413 Field Theory II Exam #1 Spring, 2011 Name ___________________________________________ Directions: Closed book and closed notes. You may NOT use a calculator. Four problems all worth 25pts each. Show your work clearly and write legibly for partial credit.
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
1. The instantaneous electric field inside a conducting rectangular pipe (waveguide) is given by where z is the waveguide's phase constant. Assuming there are no sources within the free- space-filled pipe, determine (a) the corresponding instantaneous magnetic field components inside the conducting pipe (b) the phase constant z ) cos( ) sin( ˆ ) , , ( z t x a E a t z x E z o y
Image of page 2
2. By solving the wave equation we find that the time harmonic electric field between two perfectly conducting plates (PEC) separated by a distance of, a, and filled with material with , and is given by where A, x and z are unknown constants. By applying boundary conditions and the dispersion relationship determine all of the unknown constants (where A, x and z ) x j x j z j y x x z Ae e e a z x E
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 4
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern