Question

+ + Electric field in a uniform medium is given as Ē =n. (3f+4ģ)cos(3x10® ret – kız)+n, (î+22)cos (6x10% nt+187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=44 Problem [7] <5 points> Calculate the relative permittivity of this medium. Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k: Problem [10] <5 points> Calculate the propagation speed of the waves. Problem [11] <5 points> The magnetic field in this medium can be found as Ā =(H+H, ) cos(3x10* nt – kız)+(H2_#+H, 2)cos (6x10* rt +18ry). Calculate the coefficient H, Problem [12] <5 points> The magnetic field in this medium can be found as Ā =(H&+H,)cos(3x10ºrt - kız)+(H2f+H7.2) cos(6x10nt +187y). Calculate the coefficient Hz.

Answer 1

>= 1. (34+49)ces (8xion 8 - 2) +Y. (&#22 )cos (6xo'xt + "ng) (4- 4 Mol As, relative permittivity, ex = & we get, Take the 2nd part of Electric field. Comparing with cos/wit - Bö) W = 6x1082 B = 187 Now phase veli velocity , VTE Vetur SEO Vinero Juerto e arter ( 1 ) V=W B But 2 v = I Carter B . Juyer + 3x108 14. Er 6x108 T 187 Quer - 1 2 18 Er = &r=20.25 (& Intrinsic Impedance Mr no N = TM Molly Eer Er E where, non intrinsic impedance of free space (1208) .) n= 120x14 20.25 > n = 167.55 vurer 2 Since, k, =B; and B - K, = W/Moer From first part, W = 3x1097 48=4 , Ex-20-25 K = 3x108 7 Jux 20.25 IK = 9X rad/m 3x100 (0 propagation speed VP = TE Turer & Moto Turer (4x2025 Up = 0.33x109 m/8 C 3x108