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1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz +wt) ĉ +0 ġ+02 a) Determine the direction of propagation of the electromagnetic wave. b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave B. c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense? d) If the amplitude of the magnetic field was measured to be 2.5 *...
4. Consider the cylindrical waveguide below, which has an electromagnetic wave propagating in the space between the inner and outer conductors, which is a gap where air exists. The radius of the inner conductor is a, while the inner radius of the outer conductor is b (as shown). The fields in the air-gap have the form E = E0r cos (kz z ωt) B = B0r cos (kz z ωt) where E0 and B0 are constants, r is the radial...
Question 2: For an electromagnetic plane wave, the electric field is given by:$$ \vec{E}=E_{0} \cos (k z+\omega t) \hat{x}+0 \hat{y}+0 \hat{z} $$a) Determine the direction of propagation of the electromagnetic wave.b) Find the magnitude and direction of the magnetic field for the given electromagnetic wave \(\vec{B}\).c) Calculate the Poynting vector associated with this electromagnetic wave. What direction does this vector point? Does this makes sense?d) If the amplitude of the magnetic field was measured to be \(2.5 * 10^{-7} \mathrm{~T}\),...
The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m and the e field vibrates in the xy plane with an amplitude of 18.0 V/m. (a) Calculate the frequency of the wave. 6.25 MHz (b) Calculate the magnetic field B when the electric field has its maximum value in the negative y direction, magnitude. 0.13 What is the relationship between the amplitudes of the magnetic and electric fields in a...
Pretest: Electromagnetic waves Name Pretests 159 1. Shown below are pictorial and mathematical representations of an electromagnetic plane wave space. The electric field is parailel to the z-axis. The magnetic field propagating through empty is parallel to the y-axis. The E(x, y, z, t) E, sin(kx + 0x)2 The points P. Q. R, and S in the diagram above lie in thex-y plane. i. For the instant shown, rank points P. Q. R, and S according to the magnitude of...
Given the electric field phasor E-E) ρ-le-jkza, in cylindrical coordinates, where 1.4 , show that it represents an electromagnetic wave propagating in free space by using (a) Maxwell's equations, and (b) Helmholtz equation. (c) Find the magnetic field phasor H. 88 8-9 Given the electric field phasor E -(E.a, +jE a)e n free space, determine (a) propagation direction, (b) H, (c) & and (d) polarization state. 1th yeaeo circularly polarized waves. Given the electric field phasor E-E) ρ-le-jkza, in cylindrical...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
Part A: An electromagnetic wave is propagating in the positive x direction. At a given moment in time, the magnetic field at the origin points in the positive y direction. In what direction does the electric field at the origin point at that same moment? Positive x Negative x Positive y Negative y Positive z Negative z Part B: The figure shows the electromagnetic field as a function of position for two electromagnetic waves traveling in a vacuum at a...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
A plane wave is propagating in free space in the +z direction. The magnitude of the electric field intensity is 120 V/m. Both electric and magnetic fields are in phase. Determine the average power density in Watt per square meter.