8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through...
8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation E~ y(x, t) = (325 N/C) cos[(4500 m−1 )x − (1.35 × 1012 rad/s)t + 0.6]ˆj (a) What are the wavelength and frequency of the EM wave? (b) Write an equation for the magnetic field vector of the EM field. (c) What is the average Poynting vector? I need all parts of this question. Thanks!
Homework Answers
![Ê = 325 (oo [ 45002 - (1.35x10²) t too] å K - 45oomi ZIT d - 4500 217 => d= 4500 1.396x16 3 m w= 1.35X10² 21 f = 1:35x1012 f](http://img.homeworklib.com/questions/f7f8df20-0b16-11eb-b371-f1bd4f70b869.png?x-oss-process=image/resize,w_560)
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8. The y-component of the electric field of an
electromagnetic(EM) field traveling in the x-direction through...
(a) What are the wavelength and frequency of the EM wave? (b) Write an equation for...
(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 :...
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
For a certain electromagnetic wave traveling in +z direction in free space, if the electric field...
For a certain electromagnetic wave traveling in +z direction in free space, if the electric field vector points in the -y direction and by using an EM filter we can alter the direction to the +x direction, which components would best describe the direction of the magnetic field vector before and after the change? +x, -y -x, -y +x, +y -x, +y
An electromagnetic wave is traveling in the y-direction (j). a)If the B-field has the equation: B(y,t)...
An electromagnetic wave is traveling in the y-direction (j). a)If the B-field has the equation: B(y,t) = Bmaxcos(kx-wt+j)i, what direction is the E-field? b)Write the equation for the E-field. c)If w = 4.398 x 10-6 rad/sec, what is l (in a vacuum)?
An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source...
An electromagnetic wave in a vacuum traveling in the +x direction generated by a variable source initially has a wavelength λ of 305 μm and a maximum electric field Emax in the +ydirection of 2.10×10−3 V/m . If the period of the wave is then increased by a factor of 1.50, what is the equation of the resulting magnetic field component of the wave? What are the coefficients in the equation for the magnetic field component of the wave after...
(20 pts) An em wave traveling through air has an electric field described by the equation...
(20 pts) An em wave traveling through air has an electric field described by the equation Eo sin [kz (5 pts) Determine the wavelength, frequency, and direction of travel for this wave (10 pts) Usee the facts E. x Bo is in the direction of travel and Eo is perpendicular to Bo to show that Bx 6. 8π rad/m. (600 i) V/m and k E ot], where Eo а. b 0, and By 0, Вz (5 pts) Determine the Poynting...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
8. (10 points) You have an electromagnetic wave traveling in the +z direction in a vacuum....
8. (10 points) You have an electromagnetic wave traveling in the +z direction in a vacuum. The wavelength is 6x10-6 m and the magnetic field amplitude is 9x10-5 T. Explicitly write out the electric field component of the wave (hint: what is k and ω and E0).
A plane electromagnetic wave traveling in the positive direction of an x axis in vacuum has...
A plane electromagnetic wave
traveling in the positive direction of an x axis in vacuum has
components Ex = Ey = 0 and Ez = (4.2 V/m) cos[(? × 1015 s-1)(t -
x/c)].(a) What is the amplitude of the magnetic field component?
(b) Parallel to which axis does the magnetic field oscillate? (c)
When the electric field component is in the positive direction of
the z axis at a certain point P, what is the direction of the
magnetic field...
(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
1. The electric field of an electromagnetic wave traveling through vacuum is the following: 5.90x1 : + a. Draw a qualitative sketch of this E function for t = 0. Add the B field as well to complete the EM wave. Be sure to label the axes. Don't worry about your drawing ability. b. What is the magnitude of the magnetic field B.? C. What is the wavelength of the EM wave? d. What is the frequency of the EM...
(20 pts) An em wave traveling through air has an electric field described by the equation Eo sin [kz (5 pts) Determine the wavelength, frequency, and direction of travel for this wave (10 pts) Usee the facts E. x Bo is in the direction of travel and Eo is perpendicular to Bo to show that Bx 6. 8π rad/m. (600 i) V/m and k E ot], where Eo а. b 0, and By 0, Вz (5 pts) Determine the Poynting...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
A plane monochromatic electromagnetic wave with wavelength 1 = 4.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi+Byj) cos(kz + wt) where Bx = 2 x 10-6 T, By = 3.4 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 3) What is Sy, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? W/m2...
A plane electromagnetic wave
traveling in the positive direction of an x axis in vacuum has
components Ex = Ey = 0 and Ez = (4.2 V/m) cos[(? × 1015 s-1)(t -
x/c)].(a) What is the amplitude of the magnetic field component?
(b) Parallel to which axis does the magnetic field oscillate? (c)
When the electric field component is in the positive direction of
the z axis at a certain point P, what is the direction of the
magnetic field...
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