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Electromagnetic Field Theory: A Problem Solving Approach Part 60

Electromagnetic Field Theory: A Problem Solving Approach Part 60. Electromagnetic field theory is often the least popular course in the electrical engineering curriculum. Heavy reliance on vector and integral calculus can obscure physical phenomena so that the student becomes bogged down in the mathematics and loses sight of the applications. This book instills problem solving confidence by teaching through the use of a large number of worked problems. To keep the subject exciting, many of these problems are based on physical processes, devices, and models. This text is an introductory treatment on the junior level for a two-semester electrical engineering. | Problems 565 31. A fish below the surface of water with index of refraction n 1.33 sees a star that he measures to be at 30 from the normal. What is the star s actual angle from the normal 32. A straight light pipe with refractive index ni has a dielectric coating with index ng added for protection. The light pipe is usually within free space so that ns is typically unity. a Light within the pipe is incident upon the first interface at angle 0i. What are the angles 0 and 03 b What value of 0i will make 03 just equal the critical angle for total internal reflection at the second interface c How does this value differ from the critical angle if the coating was not present so that ni was directly in contact with n3 d If we require that total reflection occur at the first interface what is the allowed range of incident angle 0i. Must the coating have a larger or smaller index of refraction than the light pipe 33. A spherical piece of glass of radius R has refractive index n. a A vertical light ray is incident at the distance x x R from the vertical diameter. At what distance y from the top of the sphere will the light ray intersect the vertical diameter For what range of n and x will the refracted light intersect the vertical diameter within the sphere 566 Electrodynamics Fields and Waves b b A vertical light beam of radius aR a l is incident upon a hemisphere of this glass that rests on a table top. What is the radius R of the light on the table chapter 8 guided electromagnetic .