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(2) An electromagnetic harmonic wave is traveling in a medium having refractive index n = 1.44. If the wave is traveling in a direction given by û = (+2)/√2, and its electric field component is specified by the following function: E = (2x −9+2) × 10³ cos(k r-5.196 x 10¹5 t) T Determine: (a) (b) (c) The speed of the wave. The direction and magnitude of the magnetic field vector. The wave vector.

(2) An electromagnetic harmonic wave is traveling in a medium having refractive index n = 1.44. If the wave is traveling in a direction given by û = (+2)/√2, and its electric field component is specified by the following function: E = (2x −9+2) × 10³ cos(k r-5.196 x 10¹5 t) T Determine: (a) (b) (c) The speed of the wave. The direction and magnitude of the magnetic field vector. The wave vector.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(a) (b) Attempt all questions: 1) Two sections of a long thick cable are fed with a uniform current given by 10.5 cos(100zt) 2 A/m². The radius of the cable is equal to a 5 cm and the separation between the two sections w= 2 mm << a. Assume that the current flows in such a way that the surface charges on the two sides of the gap are uniformly distributed and the fringing of the field lines outside the gap is negligible. a) Determine the electric field in the gap between the ends of the two sections, as a function of t. b) Find the displacement current through a circle of radius p < a in the region midway between the ends of the two sections. Determine: (c) (d) c) Determine the magnetic field vector at points in the gap between the ends of the two sections at p < a from the axis. (2) An electromagnetic harmonic wave is traveling in a medium having refractive index n = 1.44. If the wave is traveling in a direction given by û = (+2)/√2, and its electric field component is specified by the following function: E = (2x -ŷ + 2) × 103 cos(k r-5.196 x 10¹5 t) T (e) d) Calculate Poynting vector on the edge of the gap at p a for 0≤z≤w. Integrate the Poynting vector over the side area of the gap to show that the electromagnetic power through the side of the gap equals the electric power P = V(t)1(t), where V(t) is the voltage between the ends of the two sections of the wire. x The speed of the wave. The direction and magnitude of the magnetic field vector. The wave vector. W The wavelength and frequency of the wave. The average intensity of the wave.
Transcribed Image Text:(a) (b) Attempt all questions: 1) Two sections of a long thick cable are fed with a uniform current given by 10.5 cos(100zt) 2 A/m². The radius of the cable is equal to a 5 cm and the separation between the two sections w= 2 mm << a. Assume that the current flows in such a way that the surface charges on the two sides of the gap are uniformly distributed and the fringing of the field lines outside the gap is negligible. a) Determine the electric field in the gap between the ends of the two sections, as a function of t. b) Find the displacement current through a circle of radius p < a in the region midway between the ends of the two sections. Determine: (c) (d) c) Determine the magnetic field vector at points in the gap between the ends of the two sections at p < a from the axis. (2) An electromagnetic harmonic wave is traveling in a medium having refractive index n = 1.44. If the wave is traveling in a direction given by û = (+2)/√2, and its electric field component is specified by the following function: E = (2x -ŷ + 2) × 103 cos(k r-5.196 x 10¹5 t) T (e) d) Calculate Poynting vector on the edge of the gap at p a for 0≤z≤w. Integrate the Poynting vector over the side area of the gap to show that the electromagnetic power through the side of the gap equals the electric power P = V(t)1(t), where V(t) is the voltage between the ends of the two sections of the wire. x The speed of the wave. The direction and magnitude of the magnetic field vector. The wave vector. W The wavelength and frequency of the wave. The average intensity of the wave.
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