Final_Spring05 - ECE311 Spring 2005 Final Exam May 5 2005 Name Circle One Division 1 McKinney(9:00 am Division 2 Chappell(4:30 pm Instructions 1

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Unformatted text preview: ECE311, Spring 2005 Final Exam May 5, 2005 Name: Circle One Division 1 - McKinney (9:00 am) Division 2 - Chappell (4:30 pm) Instructions 1. Write your Name on the front page ONLY. 2. Show all your work for the following problems so that partial credit can be assigned. Cross out clearly any work which is to be disregarded. Be certain that the answer is distinguishable from the work. Unsupported answers will not be given credit unless otherwise indicated. 3. Make your answer clear, for example, by placing it in a box. 4. Extra paper is available if needed. Be sure to label the problem number for each page of your work. 5. Use units. 6. Be sure that your work, and discussions and explanations when requested, are clear, concise, and organized. 7. Useful vector identities, differential elements and constants, and physical relations are given on the Formula Sheet. 8. The point distribution on this exam is as follows: Problem ABET Outcome Points Score 1 vi,viii 40 2 viii 35 3 vi 35 4 i,ii,iii,iv,vii 40 5 v 20 6 vii,viii 30 1 1. (40 pts.) Two elemental dipoles are arranged as shown below : Antenna 1 is fed with a time harmonic current I o cos( ωt ) and is directed along the z-axis. Antenna 2 is fed with the current I o cos( ωt + ξ ) and is directed along the x-axis. For this question, you may find the following relations useful: vector A = μ o Ie jξ e- jkR 4 πR hatwide a z for a z-directed elemental dipole vector E = − jω ( A θ hatwide a θ + A φ hatwide a φ ) for an arbitrary antenna in the far-field. Please answer the following: z x antenna 1 antenna 2 (a) Please determine the total vector potential vector A due to the two antennae. (b) Calculate the total far-field electric field vector E along the y-axis. 2 3 (c) Calculate the total far-field magnetic field vector H along the y-axis....
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This note was uploaded on 02/04/2012 for the course ECE 311 taught by Professor Peroulis during the Fall '08 term at Purdue University-West Lafayette.

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Final_Spring05 - ECE311 Spring 2005 Final Exam May 5 2005 Name Circle One Division 1 McKinney(9:00 am Division 2 Chappell(4:30 pm Instructions 1

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