Question

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. |

Answer #1

Then in Electromagnetic wave the electric field & magnetic
field are mutually perpendicular to the direction of propagation of
the wave.

Poynting vector is ,

S = (1/mu_o) E X B

X represents -- cross product of E and B

curl our right hand fingers from E to B then our thumb indicates
the direction of the motion of the wave.

So,

curl our fingers from + to +,

curl our fingers from +y to +x , then my right thumb points in -z direction.

the wave is traveling in the... xy -plane.

then the answer is xy- plane.

Then second last (d) option is correct .

I hope help you !!

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?

At a certain instant in time, the electric field of an
electromagnetic wave in free space points in the -z
direction, and the magnetic field points in the +y
direction. In what direction is this wave traveling?
A) +x direction ___B) -x direction ___ C)
+y direction ___D) -z direction ___E) +z
direction ___
Please explain why you chose your answer

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,...

(a) Write down expressions for the electric and magnetic fields
of a sinusoidal plane electromagnetic wave having a frequency of 3
GHz and traveling in the positive x direction. The amplitude of the
magnetic field is 1 μT. b) Verify that E(x, t) = Ae^(i(kx-wt)) or
B(x, t) = C sinkxsinwt is a solution of the one-dimensional wave
equation; A and C are constants.

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

Consider a sinusoidal electromagnetic wave propagating in the +x
direction, whose electric field is parallel to the y axis. The wave
has wavelength 475 nm, and the electric field has amplitude 3.20 x
10^-3 V m-1. What is the frequency of the wave? What is the
amplitude of the magnetic field? What are the vector equations for
E(x,t) and B(x,t)?

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...

A linearly-polarized sinusoidal electromagnetic wave propagates
in the –x direction. At a particular moment in time, the magnetic
field at point (–4, 0, 0) points in the –z direction. At that same
moment at (–4, 0, 0), what is the direction of the electric field?
Drawing a diagram should help. Group of answer choices –z direction
+z direction +y direction –y direction

The magnetic field in a plane monochromatic electromagnetic wave
with wavelength λ = 684 nm, propagating in a vacuum in the
z-direction is described by
B⃗ =(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^)
where B1 = 5.3 X 10-6 T, and
i-hat and j-hat are the unit vectors in the +x and +y directions,
respectively.
5)
Which of the following equations describes the spatial and time
dependence of the electric field oscillations?
6)
What is tmax, the first time after t = 0, when the
magnitude...

Use the complex forms for the electric and magnetic fields of an
electromagnetic plane wave in a linear dielectric material with
permittivity ε and permeability μ to find the ratio of the energy
density stored in the oscillating magnetic field to the energy
density stored in the oscillating electric field.

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