In a lossless dielectric material, which has the following properties: ε = 4εo, and μ =...
In a lossless dielectric material, which has the following properties: ε = 4εo, and μ = μo, the magnetic field intensity, H, is expressed as: H = 40 sin(ωt-15z) ax A/m (a) Calculate the angular frequency (ω). (b) Find the associated electric field intensity (E).
Homework Answers
Add Answer to:
In a lossless dielectric material, which has the following
properties: ε = 4εo, and μ =...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ°...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
The electric field intensity of a uniform plane wave in a medium, σ=0, ε=ε0εr, μ=μ0 is:...
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.
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and...
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.
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z)...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
A UPEMW propagating in an infinite lossless dielectric medium has the following instantaneous expression for its...
A UPEMW propagating in an infinite lossless dielectric medium has the following instantaneous expression for its magnetic field component: H(r,t) = -iy2 sin(6π x 108t - 20πz + 300), A/m. Find: the frequency f of the wave in Hz the wavelength λ of the wave in m the phase velocity vph of the wave the group velocity vg of the wave the relative refractive index nr of the dielectric medium the unit vectors iE, iHand ik the phasor expression for...
The electric field intensity in a dielectric medium (u = H0, ε = ε0εr,) is given by
The electric field intensity in a dielectric medium (u = H0, ε = ε0εr,) is given by E = 150 cos(109t + 8x) az V/m Calculate: (a) The dielectric constant, εr(b) The intrinsic impedance (c) The velocity of propagation (d) The magnetic field intensity vector, H (e) The Poynting vector (phasor form is also OK)
2. An electromagnetic wave travels through a material with n = 173.21 + j100 at a...
2. An electromagnetic wave travels through a material with n = 173.21 + j100 at a certain frequency. The magnetic field component is given by: H = 0.1e-0.0577x cos(wt -0.1x) ay A/m a) (10%) Find the electric field component. b) (5%) Find the loss tangent. c) (5%) Determine whether the material is a lossless dielectric, lossy dielectric, a good conductor, or free space.
Please show steps We have that the instantaneous magnetic field H of a wave propagating in...
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...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each diele...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Question A2 [20 marks] Two plane waves are propagating in a linear dielectric material (ε-ε0G, μ-Ho) and are described by their respective complex electric field vectors as shown below: (a) [2 marks] Write down the direction of propagation of wave 1 and that of wave 2 (b) [2 marks] Write down the polarization-direction of wave 1 and that of wave 2. (c) [4 marks] What is the total (real) electric field Etot-Ei +E2? (d) [4 marks] What is the total...
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.
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
2. An electromagnetic wave travels through a material with n = 173.21 + j100 at a certain frequency. The magnetic field component is given by: H = 0.1e-0.0577x cos(wt -0.1x) ay A/m a) (10%) Find the electric field component. b) (5%) Find the loss tangent. c) (5%) Determine whether the material is a lossless dielectric, lossy dielectric, a good conductor, or free space.
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...
8-16 Two nonmagnetic dielectrics( μ: 1 ) have the same dielectric constant( ε.-2.25 ), but different conductivities( σ-O and G-50 [S/m). If a wave of a frequency 100 MHz) propagates in each dielectric, compare the values of (a) β, (b) λ, and (c) up of the two waves. An electromagnetic plane wave propagating in a nonmagnetic dielectric has the instantaneous electric and magnetic field intensities given as 8-17 (z.t)- a,967.le" cos(1.5x10°t-Bz) and 'W(z, t) = ay 10e-az cos(1.5x10°t-Bz-0.7194) Determine (a)...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago