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In a non-conducting medium with є= 16 G) and μ-Ho the electric field intensity of an...
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.
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of...
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The...
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and f...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
2. The electric field in a plane wave is described by the equation (k > 0):...
2. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
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...
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 *...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency....
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a...
The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a uniform plane wave operating at 1 GHz is l 100e-丿4a -and | 10.63eTa'l- respectively. The wave propagates through a medium with the following properties: 4 × 10-7 ,e = 14.2 × 10-9 , σ = 0 . Determine the following: a. Electric field intensity in phasor form. b. Electric field intensity in real instantaneous form. m m m c. Wave impedance
The electric field of a positive z-traveling wave in a medium with relative dielectric constant of er 4 and with frequency of 2.5 GHz is given by Ex Eox cos(ot - kz) V/m. 1. a. Find the magnetic field if Eox 400,000 V/m. b. Determine the phase velocity and wavelength.
An electromagnetic wave has a frequency of 110 MHZ and is travelling in a vacuum. The magnetic field is given by B^rightarrow (z, t) = (5.00 times 10^- 8 T) cos (Kz - omega t)i^. (Assume the electromagnetic wave is travelling in the k^direction. Find the wavelength of this wave. 2.72 m Find the electric field vector E^rightarrow (z, t). (Use the following as necessary: z, and t.) E^rightarrow (z, t) = V/m Determine the Poynting vector. (Use the following...
Problem 6. Electromagnetic plane waves in a lossy medium The electric field of an electromagnetic plane wave traveling in a lossy medium can be written as where z is the distance, t is time, and fthe frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (i.e., to 1/3 of the amplitude at z-0 when it arrives at z- 100...
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. The electric field in a plane wave is described by the equation (k > 0): Ē(x,y,z,1)= E, sin(kz – mt)ị Answer the following questions about the wave. i. What direction is the wave traveling? Explain how you can tell from the equation for the electric field. ii. Write an expression for the magnitude of the magnetic field of the wave. iii. Calculate the average intensity of the wave if Eo = 3000 V/m. The MKS units of intensity are...
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...
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 *...
Electromagnetic plane waves in a lossy medium field of an electromagnetic plane wave traveling in a lossy medium can be written as 6. The where z is the distance, t is time, and f the frequency. For f 1 GHz, it is found by measurement that the amplitude of the electric field is attenuated by a factor of 3 after the wave travels 100 m (ie, to 130f the amplitude at z = 0 when it arrives at z-100 m)....
The complex amplitude and polarization of the electric field intensity and magnetic field intensity of a uniform plane wave operating at 1 GHz is l 100e-丿4a -and | 10.63eTa'l- respectively. The wave propagates through a medium with the following properties: 4 × 10-7 ,e = 14.2 × 10-9 , σ = 0 . Determine the following: a. Electric field intensity in phasor form. b. Electric field intensity in real instantaneous form. m m m c. Wave impedance
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