**Please Show All The Steps**
2.) Give the frequency domain of both experssion.
3.) Find the time average power.
**Please Show All The Steps** 2.) Give the frequency domain of both experssion. 3.) Find the...
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....
1. A magnetic field, 7, propagates in a material with uy = 4 and &r=4 and is given by H=-v8cos(@t + Bx)+34 cos(@t + Bx). The frequency of operation is 8 GHz. Find: a) the wave number, , b) the phase velocity, vp, c) the intrinsic impedance of the material, n, d) the instantaneous (time domain) expression for the electric field, E.
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y] and a phasor electric field at the origin ofE> (1+))2. Find (give units): (a) phasor electric field in terms of rectangular coordinate variables (b) associated phasor magnetic field in terms of rectangular coordinate variables (c) time-averaged power density (or time-averaged Poynting vector) carried by the wave (d) time-averaged power carried by the wave through an area of a square that occupies the region Os...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the electric field magnitudes at x 0 and x-2 m. Also, find the phase difference between electric fields at these points. Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the...
please help and show all work. Preparation for final exam! Problem 7. A Grave Wave A plane electromagnetic wave is sinusoidal with a frequency of 100 MHz. The wave's Poynting vector has the property: S= J. The electric field has a maximum value。 f 2.00 mV/m. (a) Write possible expressions for the electric and magnetic fields as functions of space and time using numerical values. (b) Compute the power of this wave on a 0.5m2 surface. Solution Problem 7. A...
4- A linearly polarized uniform plane wave propagates in seawater. The material constants for sea water are ε,-72, μ,-1, σ = 4 %n a) Write the time domain expression of the electric field E(t) if the peak amplitude is 100 V/m, and the frequency is f 100kHz. The wave propagates in the tx direction, and the field is oriented in the +z direction. itin omineei
) A uniform plane wave with f- 2.5 GHz propagates within the moist ground having the material parameters of μ-1,4-9 and σ-102 S/m. Assume that the propagation is along +x axis, and the amplitude of electric field intensity at z - 0 is 2 mV/m. a) Find the attenuation and phase constants, skin depth, phase velocity, wave impedance b) Express the electric and magnetic field intensities in time domain as a function of t and x, E(r,t) and H(x,/), where...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
Please complete all steps and explain as thoroughly as possible for the best possible rating. Power lines produce both electric and magnetic fields. The interior of the human body is an electrical conductor, and as a result, electric fields are greatly reduced in magnitude within the body The electric fields inside the body from are much smaller than electric fields normally existing in the body However, magnetic fields are not reduced in the body. Earth's magnetic field, approximately 5 ×...
Assume that a medium has ε.9εο, σ-0.1 S!m, and μ. μο. A uniform plane wave at 6 GHz propagates in this medium in the direction. Find the ratio of the electric field magnitudes at x 0 and x-2 m. Also, find the phase difference between electric fields at these points.