Question

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/m^{2}

(b) an electromagnetic wave with an angular frequency of 6.1 ?
10^{18} rad/s and a peak magnetic field magnitude of
10^{?10} T.

W/m^{2}

Answer #1

What is the maximum value of the electric field in an
electromagnetic wave whose average intensity is 3.05 W/m2 ?
Answer is in V/m

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)?

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,...

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
associated with this...

The electric field of an electromagnetic wave in a vacuum is
Ey=(18.0 V/m)cos((4.18 ×10^8)x−ωt), where x is in m and t is in
s.
What is the wavelength, frequency, and magnetic field amplitude
of the wave?

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

Two travelling sinosoidal electromagnetic waves, each with an
intensity 15 W/m2W/m2 , interfere to form a standing wave. The
resulting electric field E⃗ (z,t)E→(z,t) has nodes (i.e., is zero
at all times) at z=…,−2a,−a,0,a,2a,…z=…,−2a,−a,0,a,2a,… with aaa =
4.0 mm , and satisifes E⃗ (z,0)=0E→(z,0)=0. Furthermore, the
magnetic field B⃗ (z,t)B→(z,t) is observed to point along ±i^±i^
everywhere. You may take ccc = 3.0×108 m/sm/s and
8.9×10−12 F/mF/m .
A) What is the wavelength λλlambda of the two constituent
travelling waves?...

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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