# ps04 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.014 Electrodynamics Issued: February 27, 2002 Problem Set 4 Due in Recitation: March 6, 2002 Suggested Reading: Lecture 6 supplementary notes Text: Examples 9.4.1, 9.4.2; Sections 4.1-4.2 < p.131 (skip force calculations in Example 4.1.1); 4.3 < p.151 Problem 4.1 Sketch the antenna patterns in the x-y plane for the following arrays of vertical (z- oriented) dipole antennas. Include quantitative expressions for the angles and relative amplitudes for gain maxima and minima. y a) θ b) Same as (a), but excitation = 1 for left antenna, x and 2j for right antenna 0 Equal excitation, 1.5 λ in phase x c) θ Calculating the angles of the first two nulls is y sufficient. L = 1000 λ Problem 4.2 A car drives along the highway listening to a 100-MHz FM station and hears small quick bursts of noise as the car passes through successive nulls caused by multipath, as suggested in the figure below, where a perfect reflection (image ray) from a large smooth

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ps04 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of...

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