![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 ys4,0szs4 in the plane x-4 AIR REA](http://img.homeworklib.com/questions/68d78fa0-5eda-11ec-b8f9-e99c5d9f0a66.png?x-oss-process=image/resize,w_560)
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2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y]...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separati...
2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separating air from a lossy dielectric impedance 'h-%(I + J) and wavenumber (1-)).The incident plane wave in air has a phasor electric field given by 2. Find (leave all answers in terms ofm: (a) value of the wavenumber in air, ko (b) attenuation constant α and phase constant β (c)...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression...
1. In the region x<0 (air), an electromagnetic uniform plane wave with phasorelectric fieldAIR 1 PEC E (x)-iSe is incident upon a perfect electric conductor (PEC) at x -0 Leave answers in term...
1. In the region x<0 (air), an electromagnetic uniform plane wave with phasorelectric fieldAIR 1 PEC E (x)-iSe is incident upon a perfect electric conductor (PEC) at x -0 Leave answers in terms of free space (air) parameters k,70 Find the (a) phasor reflected electric field E b) total phasor magnetic field H(x) in the air region xco () phasor surface electric current density Js on the perfect electric conductor (PEC)
1. In the region x
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 pr...
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...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē= E, cos(kz...
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 *...
Question 2: For an electromagnetic plane wave, the electric field is given by: Ē = E,...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
At a particular point in time and space, an electromagnetic plane wave has an energy flux...
At a particular point in time and space, an electromagnetic plane wave has an energy flux S = <0, 0, a> (a > 0) and an electric field in the +x direction. Find the magnitude and direction of its magnetic field. The answer should be in terms of a, the magnitude of the Poynting vector, c, the speed of light, and k, Coulomb's constant.
2. A plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive x...
2. A plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive x direction with its electric field Ē, of amplitude 300 V/m, directed along the y axis. (a) What is the frequency of the wave? (b) What are the direction and amplitude of the magnetic field associated with the wave? (c) What are the values of "k" and "o" if E = Eo sing (kx-ot)? (d) What is the time-averaged rate of energy flow in watts...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
3. A uniform plane electromagnetic wave with the time harmonic electric field intensity vector E' =ǐ10cos(cr-6m) (volts/meter) 46.μ.-Ha ) upon the is incident from the lossless medium I ( Ei 수x lossless half-space medium 2 (629 Find: 4o) (a) the wave numbers and intrinsic impedances of each medium expressed in terms of air parameters ko and巩; give formulas for these air parameters. (b) the phasor reflected and transmitted electric field intensities Leave answers (c) the phasor reflected and transmitted magnetic...
2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separating air from a lossy dielectric impedance 'h-%(I + J) and wavenumber (1-)).The incident plane wave in air has a phasor electric field given by 2. Find (leave all answers in terms ofm: (a) value of the wavenumber in air, ko (b) attenuation constant α and phase constant β (c)...
1. In the region x<0 (air), an electromagnetic uniform plane wave with phasorelectric fieldAIR 1 PEC E (x)-iSe is incident upon a perfect electric conductor (PEC) at x -0 Leave answers in terms of free space (air) parameters k,70 Find the (a) phasor reflected electric field E b) total phasor magnetic field H(x) in the air region xco () phasor surface electric current density Js on the perfect electric conductor (PEC)
1. In the region x
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...
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 *...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
2. A plane electromagnetic wave, with wavelength 3.0 m, travels in vacuum in the positive x direction with its electric field Ē, of amplitude 300 V/m, directed along the y axis. (a) What is the frequency of the wave? (b) What are the direction and amplitude of the magnetic field associated with the wave? (c) What are the values of "k" and "o" if E = Eo sing (kx-ot)? (d) What is the time-averaged rate of energy flow in watts...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...
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