Explanation Given data: The Q factor of the cavity is 4802 . The volume of the cavity is 64 mm 3 . Calculation: The TE 101 resonant frequency f 101 if the cubic cavity is given by, f 101 = c 2 a Here, c is the speed of light in free space, which has standard value as ( 3 × 10 8 m / s ) . a is the side of the cube. The volume of the cube V is written as, V = a 3 Substitute 64 mm 3 for V in the above equation. 64 mm 3 = a 3 Solve for the cube side a as, a = 4 mm The conversion from millimeters ( mm ) to meters ( m ) is given by, 1 cm = 1 1000 m The conversion of 4 mm into meters is given by, 4 mm = 4 1000 m = 4 × 10 − 3 m Hence, the side of the cube a is, a = 4 × 10 − 3 m Substitute 4 × 10 − 3 m for a and 3 × 10 8 m / s for c in equation (1). f 101 = 3 × 10 8 m / s 2 × 4 × 10 − 3 m = 53 × 10 9 Hz The Q factor is of the cavity is written as, Q = a 3 δ s Here, δ s is the skin depth. Substitute 4 × 10 − 3 m for a and 4802 for Q in the above equation

Fundamentals of Applied Electromagnetics (7th Edition)

7th Edition

ISBN: 9780133356816

Author: Fawwaz T. Ulaby, Umberto Ravaioli

Publisher: PEARSON

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Chapter 8, Problem 46P

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The material used to make the sides of cubic cavity.

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Chapter 8, Problem 45P

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1a) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. What is the probability X is greater than 2. 1b) (5pts) Suppose X is a Gaussian random variable with a mean of 2 and a variance of 9. Using the Q-function, determine Prob{-4-2} Leave your answer in terms of the Q-function; do not evaluate it.

Chapter 8 Solutions

Fundamentals of Applied Electromagnetics (7th Edition)

Ch. 8.1 - Prob. 1CQ Ch. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ

Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9E Ch. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10E Ch. 8.8 - Prob. 11E Ch. 8.8 - Prob. 12E Ch. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13E Ch. 8.10 - Prob. 14E Ch. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5P Ch. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9P Ch. 8 - Prob. 10P Ch. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16P Ch. 8 - Prob. 17P Ch. 8 - Prob. 18P Ch. 8 - Prob. 19P Ch. 8 - Prob. 20P Ch. 8 - Prob. 21P Ch. 8 - Prob. 22P Ch. 8 - Prob. 23P Ch. 8 - Prob. 24P Ch. 8 - Prob. 25P Ch. 8 - Prob. 26P Ch. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28P Ch. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34P Ch. 8 - Prob. 35P Ch. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39P Ch. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41P Ch. 8 - Prob. 42P Ch. 8 - Prob. 43P Ch. 8 - Prob. 44P Ch. 8 - Prob. 45P Ch. 8 - Prob. 46P Ch. 8 - Prob. 47P

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