electromagnetic
a) The magnetic field intensity of a uniform plane wave in a conductor (?? =????,??=????) is ????⃗=20??−12??cos(2??? ?? + 12? )??⃗?? mA/m. Calculate the conductivity,?? value and the corresponding ???⃗ field if ??=106 Hz. (5 marks)
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Page 3 of 5 3. The magnetic field intensity of a uniform plane wave, in a...
Page 3 of 5 3. The magnetic field intensity of a uniform plane wave, in a material with u = 5uo, is given by H = 10e0 cos (rx101-10xx), (A/m).(7 points) a) Calculate o and 8. b) Find the corresponding electric field intensity. c) Determine the average power density.
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...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wav...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
The electric field of a uniform plane 7.11 propagating wave in free space is given by...
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
Which of the following is a possible equation for the electric field of an electromagnetic wave...
Which of the following is a possible equation for the electric
field of an electromagnetic wave with average intensity 0.00132W/m2
traveling in the +z direction with a magnetic field along the x
axis?
a. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
b. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
c. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
d. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
Which of the following is a possible...
21. Which of the following is a possible equation for the electric field of an electromagnetic...
21. Which of the following is a possible equation for the electric field of an electromagnetic wave with average intensity 0.00132W/m² traveling in the +z direction with a magnetic field along the x axis? a. E = (2 V/m) sin [(9.8 x 106/mz+ (2.9 x1015 Hz)t) i b. Ē = (1 V/m) sin [(9.8 x 106 /m) - (2.9 x1015 Hz)t]î E = (1 V/m) sin [(9.8 x 106 /m) - (2.9 x1015 Hz)t] il E = (2 V/m) sin...
1) The electric field intensity of a uniform plane wave propagating in a medium for which...
1) The electric field intensity of a uniform plane wave propagating in a medium for which 4, = 1 is given by E = 40 e 20 cos(2 + x108 + – 30 y)a. V/m. Find: a) The direction of propagation. b) The phase constant c) The magnetic field intensity in instantaneous form (Don't use Maxwell's equations) 2) Write the equation you may use to plot the dependence of skin depth on frequency for seawater ( 11, = 1, 8,...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field intensity is 20V/m. The input frequency of the wave is ranging from 745-835MHz with 45 interval and the material is assumed to be lossless. Identify the amplitude of the magnetic field intensity and the velocity of the propagation at each frequency. Review your findings. [12 Marks] - End of Questions -
An electromagnetic wave traveling in the -x direction in vacuum has a frequency 2x1014Hz. The electric...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
Page 3 of 5 3. The magnetic field intensity of a uniform plane wave, in a material with u = 5uo, is given by H = 10e0 cos (rx101-10xx), (A/m).(7 points) a) Calculate o and 8. b) Find the corresponding electric field intensity. c) Determine the average power density.
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...
1. The magnetic field of a wave propagating through a certain nonmagnetic material is given by H-x30cos(10%-0. Sy) (mA/m) Find the following: (a) The direction of wave propagation. (b) The phase velocity (c) The wavelength in the material. (d) The relative permittivity of the material (e) The electric field phasor 2. A 60-MHz plane wave traveling in the -x-direction in dry soil with relative permittivity &4 has an electric field polarized along the z-direction. Assuming dry soil to be approximately...
2. (a) Consider the propagation of a plane electromagnetic wave in a conductor. Show that the wavenumber, k, as a function of a, is given by the dispersion relationship ex ωε ωε where σ is the conductivity, μ is the permeability and ε is the permittivity of the conducting medium. (Hint: start with Maxwell's equations, and develop an equation of the form, V" E -k 2 E ). (3 marks) (b) Write down an expression for the physical electrical field...
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
Which of the following is a possible equation for the electric
field of an electromagnetic wave with average intensity 0.00132W/m2
traveling in the +z direction with a magnetic field along the x
axis?
a. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
b. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
c. ?=(1 V/m) sin [(9.8x106 /m)z - (2.9x10^15 Hz)t]
?̂
d. ?=(2 V/m) sin [(9.8x106 /m)z + (2.9x10^15 Hz)t]
?̂
Which of the following is a possible...
21. Which of the following is a possible equation for the electric field of an electromagnetic wave with average intensity 0.00132W/m² traveling in the +z direction with a magnetic field along the x axis? a. E = (2 V/m) sin [(9.8 x 106/mz+ (2.9 x1015 Hz)t) i b. Ē = (1 V/m) sin [(9.8 x 106 /m) - (2.9 x1015 Hz)t]î E = (1 V/m) sin [(9.8 x 106 /m) - (2.9 x1015 Hz)t] il E = (2 V/m) sin...
1) The electric field intensity of a uniform plane wave propagating in a medium for which 4, = 1 is given by E = 40 e 20 cos(2 + x108 + – 30 y)a. V/m. Find: a) The direction of propagation. b) The phase constant c) The magnetic field intensity in instantaneous form (Don't use Maxwell's equations) 2) Write the equation you may use to plot the dependence of skin depth on frequency for seawater ( 11, = 1, 8,...
(c) Consider the uniform plane wave is propagating in gasoline with amplitude of the electric field intensity is 20V/m. The input frequency of the wave is ranging from 745-835MHz with 45 interval and the material is assumed to be lossless. Identify the amplitude of the magnetic field intensity and the velocity of the propagation at each frequency. Review your findings. [12 Marks] - End of Questions -
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
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