f) A linearly polarized plane wave at F MHz travels in the positive z direction in a medium with constitutive parameters μr,E,and oSm. The electric field magnitude at z=0 is E Vm, 1. Calculate the: i. ii. iii. iv. V. vi. wave impedance; magnitude of the magnetic field at z=0; average power available in a 0.5 m² area perpendicular to the direction of propagation at z = 0; time take n for the wave to travel through z cm; distance travelled by the wave before its field strength drops to one tenth of its value at z = 0. Sketch all the relations used above.

2. A free electron can be modeled as a plane wave, (t) = e²(ka-wt). Using the de Broglie relations for k and w, calculate the phase velocity of this wave, vph = w/k for an electron with kinetic energy K = 2.2 MeV. Can any information be transmitted at this speed?

The magnetic field component of a plane wave in a lossless dielectric is H = 30 sin (2nx 10°t – 5z) a, mA/m a. If u=1 find b. Determine the direction of wave propagation c. Determine the polarization of the wave. d. Calculate the wavelength and wave velocity. e. Determine the wave impedance. f. Find the corresponding electric field component. g. Find the displacement current density. Er.

A sinusoidal wave on a transmission line is specified by voltage and current in phasor form: Vs(z) = Voeaz ejßz and Is(z) = 1,eaz ejßzejp where Vo and I, are both real. a) In which direction does this wave propagate and why? b) Consider that a = 0, Zo 500, and the wave velocity is v, = 2.5 × 108 m/s, with w = 108 s-1. S Find the resistance (R), the admittance (G), the inductance (L), the capacitance (C), the wavelength (1) and the current phase ().

What will be the electric field associated with an electromagnetic wave having a magnetic field of Hrms=0.25 A/m. The wave is propagating through free space.

for non magnetic material having relative permeability of 2.25 sigma= 10^-4 S/m. find loss tangent, attenuation constant, phase constant, and intrinsic impedance for a wave having a frequency of 2.5MHz. assume material to be a good dielectric.

Problem 6. In what situations are the group and phase velocities equal for an electromagnetic wave?

The magnetic field of a wave propagating through a certain nonmagnetic material in the negative z direction has an amplitude of 45mAlm and a frequency of 10Š Hz. If the wave is polarized on the positive x direction and the phase velocity of the wave is 10 m/s. Assume the initial phase is 30°. Find the relative permittivity of the material. Select one: O a. The relative permittivity of the material = 1 O b. The relative permittivity of the material = V3 O c. The relative permittivity of the material = 0 O d. The relative permittivity of the material = 3 O e. The relative permittivity of the material = 9 %3D

An electromagnetic wave in far field (plane wave) meets an aluminum device box that has no holes. Calculate the reflection losses when the wave frequency is 100 MHz and the conductivity of aluminum is 3.77 * 107 1/2m. Reflection losses can be estimated with following equation that gives loss in dB. This equation ignores multiple reflections. Zw Rloss = 20 * log 4* Zs , where Zw is wave impedance and Z, the characteristic impedance of the box.

4. The electric field intensity of a wave propagating through a certain nonmagnetic material is given by E = 2sin(3t-2x) (V/m). Find the direction of the wave, the phase velocity, the wavelength in the material, the relative permittivity of the material, and the magnetic field intensity.