1. To measure the phase velocity in a medium, especially if it is not vacuum, is rather
difficult. Instead, it is proposed to proceed as follows:
1. Generate an electric field intensity in the medium with permeability μ and
permittivity ε at some arbitrary frequency assuming that this is a plane wave.
Assume a lossless medium. Measure the amplitude of the electric field intensity
E.
2. Measure the amplitude of the magnetic flux density B, produced by the electric
field intensity
Now that you have E and B
Calculate the phase velocity in the medium
Solved....
1. To measure the phase velocity in a medium, especially if it is not vacuum, is...
Please show steps We have that the instantaneous magnetic field H of a wave propagating in 5. lossless linear, homogeneous, isotropic, (LHI) material that is charge free, non-magnetic Ho) and has a dielectric relative permittivity of e, The instantaneous representation of the magnetic field intensity is given as; H 25 cos(T x 10e + 0.5ry) uA/m (a) Is this wave a uniform plane wave? If so, explain which plane, and why, or wity not, is te wave uniform. Which direction...
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and ε ε,60 . The phasor electric field is given by the Note that the wavenumber of the dielectric k ko, where ko-o/c ωνμοε0 . Find the (a) relative dielectric permittivity (dielectric constant) (b) direction of propagation n, which is a unit vector (e) angle between the direction that the electric field vector points and the direction of in.
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
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...
blem 6. Electromagnetic plane waves in a lossy medium tric field of an electromagnetic plane wave traveling in a lossy medium can be written as The where z is the distance, t is time, and fthe frequency. Forf- 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 1/3 of the amplitude at: 0 when it arrives at : -100 m)....
Suppose that an electromagnetic wave which is linearly polarized along the x−axis is propagating in vacuum along the z−axis. The wave is incident on a conductor which is placed at z > 0 region of the space. The conductor has conductivity σ, magnetic permeability µ and electric permittivity ε. (a) Find the characteristic time for the free charge density which dissipates at the conductor. (b) Write the Maxwell equations and derive the wave equation for a plane wave propagating in...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
The electric field intensity of a uniform plane wave in a medium, σ=0, ε=ε0εr, μ=μ0 is: E= 12 sin(2pi x 10^7t - 3y)az V/m (a) Determine the polarization of the wave. (b) Find the frequency. (c ) Calculate εr. (d) Obtain the magnetic field intensity H.