Homework Answers
Given
electromagnetic wave propagating in the +ve x direction with
wavelength L = 48 m and
elelctric field amplitude = 18 V/m
a)
frequency of the wave is f = c/lambda = 3*10^8 /(48) Hz = 6.25*10^6 Hz = 6.25 MHz
b) magnetic field when the electric field has maximum value
in the -ve y direction is
B = Emax/c
= 18/(3*10^8) T = 60*10^-9 T = 60 nT
in the -ve z direction always the electric and magnetic fields are
perpendicular to each other
c) B = Bmax cos (kx-wt)
W = 2pif = 2pi*6.25*10^6 rad/s = 39269908.17 rad/s = 3.926990817*10^7 rad/s
B = -60*10^-9 cos(0.13x -3.926990817*10^7*t) k^ T
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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 ×
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Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
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c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
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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 \(2.5 * 10^{-7} \mathrm{~T}\),...
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A sinusoidal electromagnetic wave is propagating in vacuum. At a given point and at a particular time the electric field is in the +x direction and the magnetic field is in the -y direction, and at that point the intensity of the wave is 0.45 W/m^2. (c = 3.0 times 10^8 m/s, mu 0 = 4 pi times 10^7 T middot m/A epsilon_0 = 8.85 times 10^-12 C^2/N middot m^2) What is the direction of propagation of the wave? What...
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An electromagnetic wave is propagating in the -x direction. At one instant, the electric field of this EM wave is pointing in the -z direction with a magnitude of 4.5e+005 N/C. At this same instant, 7. ac what are the magnitude and direction of the magnetic field of this EM wave? A 4.50e+005 T, in the -z direction B 6.67e+002 T, in the ty direction C 6.67e+002 T, in the -y direction 1.50e-003 T, in the -y direction 1.50e-003 T,...
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...
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 ×
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Randomized VariablesT = 2.5 ×
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Part (a) Express the wavelength of the wave,
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c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
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