What is the frequency of the wave? The electric ield of a sinusoidal electromagnetic wave obeys...
Please help with part (c). Thank you!
The electric field of a sinusoidal electromagnetic wave obeys the equation E = -(420 V/m) sin [(5.22 times 10^15 rad/s)t + (1.74 times 10^7 rad/m)x], What are the amplitudes of the electric and magnetic fields of this wave? What are the frequency, wavelength, and period of the wave? Is this light visible to humans? What is the speed of the wave?
An Electromagnetic Wave A sinusoidal electromagnetic wave of frequency 43.0 MHz travels in free space in the x-direction as in the figure. At some instant, a plane electromagnetic wave moving in the x direction has a maximum electric field of 725 N/C in the positive y direction. (a) Determine the wavelength and period of the wave. SOLUTION plane. Conceptualize Imagine the wave in the figure moving to the right along the x-axis, with the electric and magnetic fields oscillating in...
(a) What are the wavelength and
frequency of the EM wave?
(b) Write an equation for the magnetic field vector of the EM
field.
(c) What is the average Poynting vector?
. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation Ēy(1,t) = (325 N/C) cos[(4500 m-1)– (1.35 x 1012 rad/s)t +0.6]j (a) What are the wavelength and frequency of the EM wave?
Find wavelength.
Find Frequency.
A sinusoidal electromagnetic wave in vacuum has magnetic-field amplitude 4.30 x 10-3 T and wave number 2.50 x 10Ⓡ rad/m. At a certain position and time the electric field points in the -y-direction and the magnetic field B points in the +1-direction. Find the amplitude of Ē.
Problem 3: A sinusoidal plane
electromagnetic wave travels in a vacuum in the x direction as
shown in the graph. The period of the wave is T = 2.5 ×
10-8 s.
Randomized VariablesT = 2.5 ×
10-8 s
Part (a) Express the wavelength of the wave,
λ, in terms of T and the speed of light,
c.
Part (b) Solve for the numerical value of
λ in m.
Part (c) Write the equation of the frequency,
f, in terms...
An electromagnetic wave traveling in the -x direction in vacuum
has a frequency 2x1014Hz. The electric field in the wave has
maximum value of 2 V/m. If we define the time and position such
that the electric field has maximum value at position x=0 at
time=0, a possible equation describing the electric field is:
"⃗
a. ?=(2V/m)sin[(4.2x106 /m)x-(1.3x1015Hz)t]?̂
"⃗ ' b. ?=(2V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?
"⃗ ' c. ?=(1V/m)sin[(1.3x1015 /m)x-(4.2x106Hz)t]?
"⃗
d. ?=(4V/m)cos[(4.2x106 /m)x+(1.3x1015Hz)t]?̂
2. An electromagnetic wave traveling in the -x...
A sinusoidal electromagnetic wave is propagating in vacuum. At a given point and at a particular time the electric field is in the +x direction and the magnetic field is in the -y direction, and at that point the intensity of the wave is 0.45 W/m^2. (c = 3.0 times 10^8 m/s, mu 0 = 4 pi times 10^7 T middot m/A epsilon_0 = 8.85 times 10^-12 C^2/N middot m^2) What is the direction of propagation of the wave? What...
please help and show all work. Preparation for final
exam!
Problem 7. A Grave Wave A plane electromagnetic wave is sinusoidal with a frequency of 100 MHz. The wave's Poynting vector has the property: S= J. The electric field has a maximum value。 f 2.00 mV/m. (a) Write possible expressions for the electric and magnetic fields as functions of space and time using numerical values. (b) Compute the power of this wave on a 0.5m2 surface. Solution
Problem 7. A...
A sinusoidal electromagnetic wave is propagating in vacuum. (a) At a given point and at a particular time the electric field is in the +x direction and the magnetic field is in the -y direction. What is the direction of propagation of the wave? (b) At the above point the intensity of the wave is 0.77 W⋅m−2. What is the electric field amplitude at this point? (NOTE: μo=4π×10−7T⋅m/A and c=3.00×108m/s.)
Find the intensity of the electromagnetic wave described in each case (a) an electromagnetic wave with a wavelength of 595 nm and a peak electric field magnitude of 8.3 V/m W/m2 (b) an electromagnetic wave with an angular frequency of 5.5 x 1018 rad/s and a peak magnetic field magnitude of 10-10 T. W/m2