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312ps4

# 312ps4 - PROBLEM SET 4 ECE 312 Autumn Quarter 2010 Assigned...

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PROBLEM SET 4 ECE 312 Autumn Quarter 2010 Assigned: October 20th Due: October 27th in class Instructor: Joel Johnson Problem 1 The following E ˜ fields (in V/m) exist in regions of free space where J ρ V 0 = = . Find: (i) a unit vector in the direction of propagation of the electromagnetic wave (ii) the magnetic field vector H ˜ (iii) the frequency and wavelength (iv) the polarization of the wave (i.e. linear, left or right circular, or elliptical) (a) E ˜ y ˆ j ( ) e j π z = V/m (b) E ˜ jy ˆ z ˆ ( ) e j 1000 x = V/m (c) E ˜ 2 x ˆ y ˆ + ( ) e j 2 π x 2 y ( ) = V/m (d) E ˜ 4 x ˆ 3 jy ˆ + ( ) e j 5 z = V/m Problem 2 Find the time required for an electromagnetic wave to propagate from transmitter to receiver in the following systems. Assume the wave propagates in free space. (a) a cell phone 700 m away from a cell tower (b) a wireless internet link over a distance of 20 m (c) from the ground to a communication satellite in geosynchronous orbit (35786 km altitude) (d) from Earth to Saturn (1.2 billion km)

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ECE 312 Autumn 2010 Problem Set 4 Problem 3
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312ps4 - PROBLEM SET 4 ECE 312 Autumn Quarter 2010 Assigned...

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