{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

chap10 013

# chap10 013 - 10.30 CHAPTER 10 WAVES IN ISOTROPIC MATERIALS...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 10.30 CHAPTER 10. WAVES IN ISOTROPIC MATERIALS rubber ' 3.5 silicon fresh water sea water copper Problem 10.21: The properties of sev- eral materials are listed to the right. For what frequencies can they be considered good conductors and for what frequencies are they good dielectrics? (Assume that >> means a factor of ten.) Problem 10.22: Show that the real and imaginary parts of the complex wavenumber k = k’ — jk” in terms of the complex permittivity 2-: = 5' — je” (With p = no) are given b y 1/2 1 1 a 21/2 r saw->1 El 1 1 e” 2 1/2 H: ,0 __ _ 1 __ k w “05 2+2 +(e’) a. Which are the physically sensible solutions of the quadratic equations for (k’)2? b. Using the binorniai expansion (1 + :5)11 m 1 + nr + %n(n — Us2 + ..., for small 1: and any n, show that the “low loss” approximations for k’ and k” are given by 1 E” 2 I 5” k, W WVMDE’ l + g (E) and k” m in) M05' (3) Problem 10.23: A wave is described by 1/2 E = E06: — j2y)ef(”‘—'“) in a lossy dielectric with 5/50 = 4 — 3'2 x 10—3. If the wave frequency is 1 GHz and the average power ﬂux < S > at z = 0 is 10 W/m2, ﬁnd a. k', k”, A, and E0. b. the wave attenuation (in dB) in 200 m. c. the Poynting vector at z = 200 m. d. the amplitude of E3: at z = 200 m. Problem 10.24: A circularly polarized wave with f = 300 MHz propagates in a slightly lossy dielectric. The measured wavelength is 40 cm and the wave attenuates 10 dB in 100 In. What is the complex dielectric constant? Assume [1 = #0- Problem 10.25: A plane wave propagates in a slightly lossy dielectric. The wave— length of the wave is measured and found to be 15 cm. At 2 = 0, the power ﬂux is 100 watts/m2 and at z = 10 In it has decreased to 30 watts/m2. The phase velocity of the wave is 1.5 x 108 m/s. a. What is the wave frequency? ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern