Question

Which of the following would change the intensity of a
sinusoidal electromagnetic wave with frequency *f*,
wavelength λ, electric field amplitude *E*_{max},
and propagation speed v through a material with index of refraction
*n* = 1.5 (assume negligible absorption)?

Group of answer choices

change *E*_{max}

change λ

change *f*

change *v* by passing into a material with *n* =
1.2 (again, assume negligible absorption)

Answer #1

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,...

The electric field for a sinusoidal electromagnetic wave is
E = E0
sin(ky+wt) i
with E0 =40 V/m and k = 1.40E+8
m-1.
Select the direction of propagation for this wave.
Find the wave number of the wave.
Find the wavelength of the wave.
Find the period of the wave.
Find the frequency of the wave.
Find the angular frequency of the wave.
Find the speed of the wave.
Find the amplitude of the magnetic field.
For sinusoidal electromagnetic waves,...

An electromagnetic wave in a medium is given by the following
wave function expression:
E=5E0(i-2j)sin(kx-wt).
The wave is known to have a wavelength of 690 nm and frequency of
3.2*1014 Hz. Also E0=104 V/m. For
this wave find the propagation number, angular frequency, direction
of propagation, speed of wave, index of refraction of medium,
direction of E oscillation, direction of
corresponding B oscillation, amplitude of
E, amplitude of B, and calculate
the irradiance of this wave.

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)?

Find the intensity of the electromagnetic wave described in each
case.
(a) an electromagnetic wave with a wavelength of 730 nm and a
peak electric field magnitude of 1.1 V/m.
W/m2
(b) an electromagnetic wave with an angular frequency of 6.1 ?
1018 rad/s and a peak magnetic field magnitude of
10?10 T.
W/m2

Consider an antenna which releases an electromagnetic wave of
3cm wavelength traveling in air(of index of refraction 1) and
amplitude of the B-field component of 3mT. what is the resonant
frequency of the antenna? write the equation for the E-field
component as it propagates in the x direction. How does the
equation change if the elctromagnetic wave enters a medium of index
of refraction 1.52?

A sinusoidal plane electromagnetic wave having a frequency of
3.00 GHz travels in the positive x direction. If the amplitude of
the electric field is 300 V.m-1 and the speed of light in vacuum is
taken as 3.0 x 108 m.s-1, write down wave equation in terms of
E(x,t) and B(x,t), where x is in meters and t is in seconds for the
electric field and the magnetic field.

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...

Consider a harmonic, electromagnetic plane wave traveling along
a line from the origin to the point (2,6,4). It is linearly
polarized and its electric field lies in a plane perpendicular to
the direction of travel of the wave. The wavelength of the wave is
2.0 mm and it has a frequency of 120 GHz.
a) What is the index of refraction of the medium in which the
wave is traveling?
b) Write an expression for E(x,t), that is, the magnitude...

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

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