Homework Answers
Add Answer to:
1. Two plane waves coexist in time and space: ¡ = Eoei( kz wt ) X and E 2-Eoei(kztutk Find the re...
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 *...
2.In air, an electromagnetic uniform plane wave of frequency f 300MHz has the wave vector に"E[x+y]...
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...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
4) A string carries two sinusoidal waves given by fi(z,t) - A1 cos(kz - wt 37T...
4) A string carries two sinusoidal waves given by fi(z,t) - A1 cos(kz - wt 37T 2(e,t)A2 cos(kz where Al = 1 mm and A2=3 mm. Calculate the amplitude A3 In mm, and the phase ò3 1n radians, of the superposition fi(z, t)+f2(z,t)fs2,t)A cos(kz wt63)
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.
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 =...
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at a detector at time t having travelled different distances z1 and z2. Assume the field vectors have the same polarization direction p. The fields of the two plane waves at the detector individually are Eipcos(ot - kzi) and E.pcos(at-kz2 ) . Here the wavenumber is k-2πίλ and the angular frequency is ω ck-2πο:/v , where λ is the wavelength, с is the speed, and...
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 *...
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...
Electromagnetic waves transport energy. This problem shows you which parts of the energy are stored in the electric and magnetic fields, respectively, and also makes a useful connection between the energy density of a plane electromagnetic wave and the Poynting vector. In this problem, we explore the properties of a plane electromagnetic wave traveling at the speed of light c along the x axis through vacuum. Its electric and magnetic field vectors are as follows: E = E, sin (kx...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
4) A string carries two sinusoidal waves given by fi(z,t) - A1 cos(kz - wt 37T 2(e,t)A2 cos(kz where Al = 1 mm and A2=3 mm. Calculate the amplitude A3 In mm, and the phase ò3 1n radians, of the superposition fi(z, t)+f2(z,t)fs2,t)A cos(kz wt63)
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
1. Suppose two plane waves of light with electric field amplitudes E1 and E2 arrive at a detector at time t having travelled different distances z1 and z2. Assume the field vectors have the same polarization direction p. The fields of the two plane waves at the detector individually are Eipcos(ot - kzi) and E.pcos(at-kz2 ) . Here the wavenumber is k-2πίλ and the angular frequency is ω ck-2πο:/v , where λ is the wavelength, с is the speed, and...
Most questions answered within 3 hours.
-
Mr. and Mrs. Brown report taxable income of $130,000 in 2018. In
addition, they report the...
asked 6 minutes ago -
You capture data by having 8 people fill in 30 small dots on a
piece of...
asked 3 hours ago -
What are the z-values such that 70% of the area lies in the
middle of the...
asked 5 hours ago -
You borrow $29,500 to purchase a brand new car. The interest
rate is 6%, and the...
asked 5 hours ago -
The amount of time it takes an asteroid, whose average distance
from the Sun is 4.70...
asked 5 hours ago -
A 0.289 kg mass slides on a frictionless floor with a speed of
1.34 m/s. The...
asked 5 hours ago -
15.A box contains five red balls, three green balls, and two
yellow balls. Suppose you select...
asked 8 hours ago -
Assume you are given the following for Stackelberg industries:
Return on Assets (ROA) = 8%
Debt...
asked 7 hours ago -
an engineer proposes to use mmWave in 5G network to
increase data rate.
What are the...
asked 7 hours ago -
Explain the idea behind using SEMIJOIN in distributed
query processing.
asked 7 hours ago -
why
is context important in selecting and applying guidelines and
principles for interface design?
illustrate your...
asked 7 hours ago -
In a certain board game, a player rolls two fair six-sided dice
until the player rolls...
asked 8 hours ago