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e. In a non-magnetic medium, E = 50 cos(10°t – 6x ) a, + 40 sin (10°t – 6x)a, V/m. Find the dielectric constant ɛ, and the corresponding H

e. In a non-magnetic medium, E = 50 cos(10°t – 6x ) a, + 40 sin (10°t – 6x)a, V/m. Find the dielectric constant ɛ, and the corresponding H

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
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please solve part e only

1- Use time-varying Maxwell's equations to solve the following problem: a. Given H = 300 cos(3 ×10*t – y) â, A/m in free space, find the emf developed in the general direction about the closed path have corners at : (0,0,0), (1,0,0), (1,1,0), and (0,1,0). b. Conductor surfaces are located at p =1cm and p=2 cm in free space. The volume 1 cm <p< 2 cm contains the fields H. -cos(6x 10° zt - 22) A/m and E, 1207 cos(6 x 10* zt - 2.72) V/m. Show that these two fields satisfy the equation V× E = c. Show that the ratio of the amplitudes of the conduction current density and the displacement current density is o/ ox for the applied field E = E, cos ot . Assume u= H,- d. Let u = 3x10 °H/m, 8 =1.26 x10-1º F/m, and o = 0 everywhere. If H=2 cos(10"t– ßx) â̟ A/m, use Maxwell's equations to obtain expressions for B, D, E, and ß. e. In a non-magnetic medium, E = 50 cos(10°t – 6x)a, + 40 sin (10°t – 6x)a, V/m. Find the dielectric constant ɛ, and the corresponding H
Transcribed Image Text:1- Use time-varying Maxwell's equations to solve the following problem: a. Given H = 300 cos(3 ×10*t – y) â, A/m in free space, find the emf developed in the general direction about the closed path have corners at : (0,0,0), (1,0,0), (1,1,0), and (0,1,0). b. Conductor surfaces are located at p =1cm and p=2 cm in free space. The volume 1 cm <p< 2 cm contains the fields H. -cos(6x 10° zt - 22) A/m and E, 1207 cos(6 x 10* zt - 2.72) V/m. Show that these two fields satisfy the equation V× E = c. Show that the ratio of the amplitudes of the conduction current density and the displacement current density is o/ ox for the applied field E = E, cos ot . Assume u= H,- d. Let u = 3x10 °H/m, 8 =1.26 x10-1º F/m, and o = 0 everywhere. If H=2 cos(10"t– ßx) â̟ A/m, use Maxwell's equations to obtain expressions for B, D, E, and ß. e. In a non-magnetic medium, E = 50 cos(10°t – 6x)a, + 40 sin (10°t – 6x)a, V/m. Find the dielectric constant ɛ, and the corresponding H
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