The Poynting vector for an electromagnetic wave is given by (300W/m2)sin2[(1000m−1)z−(3.0×1011s−1)t]k^. Part B What is the...
The Poynting vector for an electromagnetic wave is given by (300W/m2)sin2[(1000m−1)z−(3.0×1011s−1)t]k^.
Part B What is the time-averaged energy per unit time radiated through a 1.0 m2 surface aligned with its normal parallel to the direction of propagatio
Part C At an instant when the electric field is in the +x direction, in what direction is the magnetic field?
in the −y direction
in the +y direction
in the −x direction
in the −z direction
in the +z direction
in the +x direction
Part D What is the wavelength of this electromagnetic wave?
Part E What is the frequency of this electromagnetic wave?
Part F What is the magnitude Emax of the electric field vector?
Part G What is the magnitude Bmax of the magnetic field vector?
Homework Answers
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The Poynting vector for an electromagnetic wave is given by
(300W/m2)sin2[(1000m−1)z−(3.0×1011s−1)t]k^.
Part B What is the...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
Problem 3: A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as...
Problem 3: A sinusoidal plane
electromagnetic wave travels in a vacuum in the x direction as
shown in the graph. The period of the wave is T = 2.5 ×
10-8 s.
Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
λ, in terms of T and the speed of light,
c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
f, in terms...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
3. Consider the electromagnetic wave k=(0.2) where .A Draw the electric field E, magnetic field B and Poynting vector S at the points = (x, y, z) that fulfill: a) th when t-0. - e condition-k = 0 Sid...
3. Consider the electromagnetic wave k=(0.2) where .A Draw the electric field E, magnetic field B and Poynting vector S at the points = (x, y, z) that fulfill: a) th when t-0. - e condition-k = 0 Side view 3D view b) the condition F. k-2 when t-o. Side view 3D view 3.B Calculate the wavelength λ of the wave (6). Compare the magnitude of λ with the magnitude of k. 3.C Wave (6) is expressed in terms of...
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...
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 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. 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...
At an instant in time, the electric and magnetic fields of an electromagnetic wave are given...
At an instant in time, the electric and magnetic fields of an electromagnetic wave are given by E = −4.37 ✕ 10−3k V/m and B = −1.46 ✕ 10−11i T. Find the Poynting vector for this wave. (Express your answer in vector form.) S = ____ W/m2
Part A: An electromagnetic wave is propagating in the positive x direction. At a given moment...
Part A:
An electromagnetic wave is propagating in the positive
x direction. At a given moment in time, the magnetic field
at the origin points in the positive y direction. In what
direction does the electric field at the origin point at that same
moment?
Positive x
Negative x
Positive y
Negative y
Positive z
Negative z
Part B:
The figure shows the electromagnetic field as a function of
position for two electromagnetic waves traveling in a vacuum at a...
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 \(2.5 * 10^{-7} \mathrm{~T}\),...
Problem 3: A sinusoidal plane
electromagnetic wave travels in a vacuum in the x direction as
shown in the graph. The period of the wave is T = 2.5 ×
10-8 s.
Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
λ, in terms of T and the speed of light,
c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
f, in terms...
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
3. Consider the electromagnetic wave k=(0.2) where .A Draw the electric field E, magnetic field B and Poynting vector S at the points = (x, y, z) that fulfill: a) th when t-0. - e condition-k = 0 Side view 3D view b) the condition F. k-2 when t-o. Side view 3D view 3.B Calculate the wavelength λ of the wave (6). Compare the magnitude of λ with the magnitude of k. 3.C Wave (6) is expressed in terms of...
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...
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 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. 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...
Part A:
An electromagnetic wave is propagating in the positive
x direction. At a given moment in time, the magnetic field
at the origin points in the positive y direction. In what
direction does the electric field at the origin point at that same
moment?
Positive x
Negative x
Positive y
Negative y
Positive z
Negative z
Part B:
The figure shows the electromagnetic field as a function of
position for two electromagnetic waves traveling in a vacuum at a...
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