32. Consider a uniform plane wave propagating in free space at a frequency of 2.45 GHz.The amplitude of the electric field is 215e/V/m. The wave is assumed propagating inthe (+2) direction.(a) Write phasor and real-time expressions for an electric field polarized in the x-direction.(b) Calculate the wavelength, phase velocity, and the intrinsic wave impedance.

Answered: Consider a uniform plane wave…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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32. Consider a uniform plane wave propagating in free space at a frequency of 2.45 GHz.
The amplitude of the electric field is 215e/V/m. The wave is assumed propagating in
the (+2) direction.
(a) Write phasor and real-time expressions for an electric field polarized in the x-direction.
(b) Calculate the wavelength, phase velocity, and the intrinsic wave impedance.

Expert Solution

Step 1: Introduction to Uniform Plane Waves in Free Space

Uniform plane waves are electromagnetic oscillations that maintain consistent characteristics across planes perpendicular to their direction of propagation. In free space, they travel at the speed of light, $c almost equal to 3 cross times 1 0 to the power of 8 text end text text m/s end text$ , and have an intrinsic impedance of roughly $377 Ω$ . Such waves are fundamental in many wireless communications, including the 2.45 GHz frequency.

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