Question

An electromagnetic wave from a wire antenna travels
(from the reader) toward the plane of the paper. At time t = 0.0 s
it strikes the paper at normal incidence. At point O and t = 0.0 s,
the magnetic field vector has its maximum value,
3.79×10^{-8} T, pointing in the negative y-direction. The
frequency of this wave is 1.22×10^{6} Hz

1. What is the x-component of the associated electric
field **E** at time t = 0.0 s? (Use the right-hand rule to
determine the direction of **E**, and hence the sign of the
x-component.

2. What is the magnitude of the Poynting vector of the wave at time t = 0.0 s?

3. What is the y component of the magnetic field at
point O at time 4.10×10^{-7} s?

Answer #1

An electromagnetic wave from a wire antenna travels (from the
reader) toward the plane of the paper. At time t = 0.0 s it strikes
the paper at normal incidence. At point O and t = 0.0 s, the
magnetic field vector has its maximum value, 3.78×10-8 T, pointing
in the negative y-direction. The frequency of this wave is 1.03×106
Hz.
What is the x-component of the associated electric field E at
time t = 0.0 s? (Use the right-hand...

A plane monochromatic electromagnetic wave with wavelength λ =
4.9 cm, propagates through a vacuum. Its magnetic field is
described by B⃗ =(Bxi^+Byj^)cos(kz+ωt) where Bx = 3.8 X 10-6 T, By
= 3.2 X 10-6 T, 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?
2) What is I, the intensity of this wave?
3) What is Sz, the z-component of the Poynting vector at...

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
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The peak value of the electric field is 2.10 mV/m, and it is
directed along the positive y direction.
(a) Find the wavelength.
m
(b) Find the period.
ns
(c) Find the maximum value of the magnetic field.
pT
(d) Write expressions in SI units for the space and time variations
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The plane monochromatic electromagnetic wave has frequency ?,
polarized in the positive ?-axis
direction moving towards the positive ?-axis direction. The
amplitude of the electric field is ?0, and
the start of time is chosen so that at ? = 0, the electric field
has a value ?0/2 at the origin.
Give answers with only the variables above and speed of light is c
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b. Find the associated magnetic...

A plane monochromatic electromagnetic wave with wavelength λ =
3.2 cm, propagates through a vacuum. Its magnetic field is
described by
B⃗ =(Bxi^+Byj^)cos(kz+ωt)B→=(Bxi^+Byj^)cos(kz+ωt)
where Bx = 3.6 X 10-6 T,
By = 4.4 X 10-6 T, 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?
2)What is I, the intensity of this wave?
3)What is Sz, the z-component of the Poynting vector
at (x = 0,...

At one instant, the electric and magnetic fields at one point of
an electromagnetic wave are E?
=(220i^+300j^?60k^)V/m and B?
=(7.8i^?7.3j^+ak^)B0.
1) What is the value of a?
2) What is the value of B0?
3) What is the Poynting vector at this time and position? Find
the x-component.
4)Find the y-component.
5) Find the z-component.

A plane electromagnetic wave, with wavelength 4.0 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 270 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 2.5 m, travels in
vacuum in the positive direction of an x axis. The electric field,
of amplitude 270 V/m, oscillates parallel to the y axis. What are
the (a) frequency, (b) angular frequency, and (c) angular wave
number of the wave? (d) What is the amplitude of the magnetic field
component? (e) Parallel to which axis does the magnetic field
oscillate? (f) What is the time-averaged rate of energy flow
associated with this...

A plane electromagnetic wave, with wavelength 3.9 m, travels in
vacuum in the positive direction of an x axis. The
electric field, of amplitude 360 V/m, oscillates parallel to the
y axis. What are the (a) frequency,
(b) angular frequency, and (c)
angular wave number of the wave? (d) What is the
amplitude of the magnetic field component? (e)
Parallel to which axis does the magnetic field oscillate?
(f) What is the time-averaged rate of energy flow
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A plane wave of wavelength 100 nm is polarized along z direction
and travelling along -x direction with the electric field amplitude
of 300 V/m (in vacuum). The maximum value of wave is at t=0 and
x=0. Write the wave equation of magnetic field Calculate the
intensity and Poynting vector of electromagnetic wave.

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