An electromagnetic wave is traveling in the y-direction (j).
a)If the B-field has the equation: B(y,t) = Bmaxcos(kx-wt+j)i, what direction is the E-field?
b)Write the equation for the E-field.
c)If w = 4.398 x 10-6 rad/sec, what is l (in a vacuum)?
An electromagnetic wave is traveling in the y-direction (j). a)If the B-field has the equation: B(y,t)...
8. The y-component of the electric field of an electromagnetic(EM) field traveling in the x-direction through vacuum obeys the equation E~ y(x, t) = (325 N/C) cos[(4500 m−1 )x − (1.35 × 1012 rad/s)t + 0.6]ˆj (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? I need all parts of this question. Thanks!
1) An electromagnetic plane wave travels in through a vacuum in the -y direction and has an angular frequency of w=2.15 x 1014 rad/s. Its electric field is along the x axis. a) What is the wavelength in um? b) What portion of the electromagnetic spectrum is this radiation? c) Write a general expression for the electric field as a function of space and time. Include the variables Emax, k and w d) What is the direction of the magnetic...
(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?
The electric field of an electromagnetic wave traveling in the vacuum of space is described by E = (4.60 ✕ 10−3) sin(kx − ωt) V/m. (a) What is the maximum value of the associated magnetic field for this electromagnetic wave? ____T (b) What is the average energy density of the wave? ___J/m3
#4 part a,b,c
4. An electromagnetic wave with a frequency of 100,0 MHz, İs traveling direction. Att-0 s, the electric field due to this wave of 300.0 V/m. through a vacuum in x- (i) What is the wavelength of this wave? a. 1.0 m b. 2.0 m c, 3.0 m d. 4.0 m (ii) What is the amplitude of the magnetic field due to this wave? a, 1.0 μΤ b, 2.0 μ T c. 3.0 uT d. 4.0 HT (iii)...
The maximum magnetic field of an electromagnetic wave traveling in a vacuum is Bo = 2.3 x 10^-5 T. What is the average intensity of this electromagnetic wave? a.) 6.3 x 104 W/m2 b.) 1.3 x 105 W/m2 c.) 1.2 x 105 W/m2 d.) 1.3 x 104 W/m2 e.) 6.3 x 105 W/m2
Light, radiant heat (infrared radiation), X rays, and radio waves are all examples of traveling electromagnetic waves. Electromagnetic waves comprise combinations of electric and magnetic fields that are mutually compatible in the sense that the changes in one generate the other. The simplest form of a traveling electromagnetic wave is a plane wave. For a wave traveling in the x direction whose electric field is in the y direction, the electric and magnetic fields are given by Ē = E,...
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...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength vacuum in the z-direction is described by - 561 nm, propagating in a B = (B1 sin(kz - @))i + where B1 - 6.8 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and y directions, respectively. 6) What is tmax, the first time after t - 0, when the magnitude of the electric field at the origin (x-y-z-0) has its maxiumum value? s...
8. (10 points) You have an electromagnetic wave traveling in the +z direction in a vacuum. The wavelength is 6x10-6 m and the magnetic field amplitude is 9x10-5 T. Explicitly write out the electric field component of the wave (hint: what is k and ω and E0).