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Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The voltage of an electromagnetic wave traveling on a transmmission line is given by v(z, t) = 2e a:sin(2π . 2.4 × 109t-27-2688z) (V). where z is the distance in meters from the generator (a) Find the frequency, wavelength and phase velocity of the wave. GHz help (numbers) cm help (numbers) 103km/s help (numbers) Up (b) At z = 1.8m, the amplitude of the wave was measured to be 0.4V. Find a. Your answer for part (b) will be validated to 0.01 absolute. Np/m help (numbers)
Expert Solution
Step 1

Given data,

vx,t=2e-αxsin2π·2.4×109t-2π·26.88z

R= 0.4 V

z=1.8

Step 2

The standard equation is given by,

vx,t=ReVsxejωt=V0+e-αxcosωt-βz+V0-eαzcosωt-βz

On comparing the given equation with the standard equation,

we get,

V0+=2 Vω=2π×2.4×109=15.07×109 rad/sβ=2π×26.88

Now,

The frequency is given by,

f=ω2π

substituting the values,

we get,

f=2π×4×1092π=2.4×109 GHz

Hence the frequency is 2×109 GHz.

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