only solve part e

(e) Maximum Vems voltage across the terminals of a loop magnetic field sensor of area 0.2 m. 1. iii. 2. A colleague of yours has given you mathematical expressions for the following electromagnetic fields that they have measured. #(x,y,z,t) = 9Hye-(az) cos(z ct/2), where c = 3 108 m/sec ii. (x,y,z,t) = 2 cos(ny) cos(Bx + wt), where = w/M (z. t) = * cos(ny) cos (22 u,t) In all cases, analyze and state each of the following properties of these EM fields; (a) Which of the fields are plane waves? In each case, give a detailed explanation of your reasoning and state which plane (i.e. xz-plane, ... etc.) the waves are measured. (b) Which of the plane waves are uniform plane waves? Why? (c) Calculate what the velocity of each of the uniform plane waves is, which direction it is propagating in, and which waves are traveling in free space? (d) List the plane waves (either uniform or non-uniform) that are time harmonic and explain why? (e) In the case of the uniform plane waves, state (write down in differential form) which one of Maxwell's equations and whose law it is to find the corresponding magnetic or electric field. Calculate the magnetic or electric field intensity from this law. Assume that the uniform plane waves are propagating in a linear, homogeneous, isotropic (LHI) media that is lossless. (e) Maximum Vems voltage across the terminals of a loop magnetic field sensor of area 0.2 m. 1. iii. 2. A colleague of yours has given you mathematical expressions for the following electromagnetic fields that they have measured. #(x,y,z,t) = 9Hye-(az) cos(z ct/2), where c = 3 108 m/sec ii. (x,y,z,t) = 2 cos(ny) cos(Bx + wt), where = w/M (z. t) = * cos(ny) cos (22 u,t) In all cases, analyze and state each of the following properties of these EM fields; (a) Which of the fields are plane waves? In each case, give a detailed explanation of your reasoning and state which plane (i.e. xz-plane, ... etc.) the waves are measured. (b) Which of the plane waves are uniform plane waves? Why? (c) Calculate what the velocity of each of the uniform plane waves is, which direction it is propagating in, and which waves are traveling in free space? (d) List the plane waves (either uniform or non-uniform) that are time harmonic and explain why? (e) In the case of the uniform plane waves, state (write down in differential form) which one of Maxwell's equations and whose law it is to find the corresponding magnetic or electric field. Calculate the magnetic or electric field intensity from this law. Assume that the uniform plane waves are propagating in a linear, homogeneous, isotropic (LHI) media that is lossless