Problem 3 The electric field intensity of a time-harmonic plane electromagnetic wave is given by Ē(x,y,z,t) = ₂126× sin[10°t − 6y + 8z − 0.2] Volt/m, where all the variables are in MKSA units. This wave propagates in a simple, nonmagnetic, lossless medium. Find numerically, including units if applicable, for (1) the unit vector pointing to the wavefront propagation direction, (Indicate the direction of the vector by plotting it in the y-z plane) (2) the wavelength along the wavefront normal direction, (3) the wavefront velocity or the phase velocity of the electromagnetic wave in the wavefront propagation direction, (4) the phase velocity in the z direction, (5) the wavelength in the y direction, (6) the refractive index of the medium, (7) the intrinsic wave impedance, (8) the magnetic field intensity vector H(x,y,z,t), and (9) the time-average intensity (power per unit area) of the wave. 1 36л Hint: the vacuum permittivity is E = <109 F/m and the vacuum

Problem 3 The electric field intensity of a time-harmonic plane electromagnetic wave is given by Ē(x,y,z,t) = ₂126× sin[10°t − 6y + 8z − 0.2] Volt/m, where all the variables are in MKSA units. This wave propagates in a simple, nonmagnetic, lossless medium. Find numerically, including units if applicable, for (1) the unit vector pointing to the wavefront propagation direction, (Indicate the direction of the vector by plotting it in the y-z plane) (2) the wavelength along the wavefront normal direction, (3) the wavefront velocity or the phase velocity of the electromagnetic wave in the wavefront propagation direction, (4) the phase velocity in the z direction, (5) the wavelength in the y direction, (6) the refractive index of the medium, (7) the intrinsic wave impedance, (8) the magnetic field intensity vector H(x,y,z,t), and (9) the time-average intensity (power per unit area) of the wave. 1 36л Hint: the vacuum permittivity is E = <109 F/m and the vacuum