Question

If the electric field in a plane electromagnetic wave is along
the y axis and its component is given

by Em sin(kx + ωt), in SI units, then the magnetic field is along
the z axis and its component

is given by:

A. (Em/c) cos(kx + ωt)

B. −(Em/c) cos(kx + ωt)

C. −(Em/c) sin(kx + ωt)

D. Em cos(kx + ωt)

E. (Em/c) sin(kx + ωt)

how and why b is wrong

Answer #1

Problem 1
An electromagnetic wave propagates along the +y direction. If
the electric field at the origin is along the +z direction, what is
the direction of the magnetic field
2
If an electromagnetic wave has components Ey = E0 sin(kx - ?t)
and Bz = B0 sin(kx - ?t), in what direction is it traveling?

A plane electromagnetic wave varies sinusoidally at 98.2 MHz as
it travels through vacuum along the positive x direction.
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
of the electric field. (x is in meters, and t...

In SI units, the electric field in an electromagnetic wave is
described by Ey = 118 sin(1.40 107x − ωt).
(a) Find the amplitude of the corresponding magnetic field
oscillations.________ µT
(b) Find the wavelength λ. ___________µm
(c) Find the frequency f. __________Hz

A sinusoidal electromagnetic plane wave is traveling in the +y
direction under water, with an index of refraction n = 1.33. The
wave is polarized along the z-axis and has a vacuum wavelength of
A_0 = 500nm.
A. What is the phase velocity of the wavefront in water?
B. What is the wavenumber of the electromagnetic wave in
water?
C. What is the linear frequency of the electromagnetic wave in
water?
D. If the electric field amplitude is 31.0 V/m,...

Write the equation of 60* linearly polarized
electromagnetic plane wave with respect to y axis, the electric
field amplitude of 3V/m, wavelength of 600 nm in free space and
propagating along z direction.

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,...

The magnetic field is given by By = Bo sin(kz - ωt). If the
electromagnetic wave with a wavelength of 650nm is traveling in the
z direction, and the maximum magnetic field is 8mT
a. What is the Electric Field? (show trigonometric form)
b. What is the maximum Electric Field
c. What is the wave number?
d. What is the frequency?
e. Write out the Poynting vector and calculate the magnitude

If the magnetic field of an electromagnetic wave is in the
+-direction and the electric field of the wave is in the
+-direction, the wave is traveling in the
-x-direction.
-y-direction.
+z-direction.
xy-plane.
-z-direction.

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 sinusoidal wave propagating in the x
direction. Suppose the wavelength is 48.0 m and the electric field
vibrates in the xy plane with an amplitude of 20.0 V/m.
(a) Calculate the frequency of the wave.__________ MHz
(b) Calculate the magnetic field B when the electric field has
its maximum value in the negative y direction. magnitude
__________nT
(c) Write an expression for B with the correct unit vector, with
numerical values for Bmax, k, and ω,
and...

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