Question

Suppose that a right-moving EM wave overlaps with a left-moving EM wave so that, in a...

Suppose that a right-moving EM wave overlaps with a left-moving EM wave so that, in a certain region of space, the total electric field in the y direction and magnetic field in the z direction are given by

Ey=E0sin(kx−ωt)+E0sin(kx+ωt) and Bz=B0sin(kx−ωt)−B0sin(kx+ωt).

A) Find the mathematical expression that represents the standing electric wave in the y direction.

B) Find the mathematical expression that represents the standing magnetic wave in the z direction.

C) Determine the x, y, and z components of the Poynting vector.

Express your answers in terms of the variables E0, B0, k, x, ω, t, and μ0. Enter your asnwers separated by commas.

I got question A and B right so no need to show the work. They are just there for context.
How is question C found?

Homework Answers

Answer #1

since you have done part a and b so i only do part c .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 1 An electromagnetic wave propagates along the +y direction. If the electric field at the...
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?
If the electric field in a plane electromagnetic wave is along the y axis and its...
If the electric field in a plane electromagnetic wave is along the y axis and its component is given by Em sin(kx + ωt), in SI units, then the magnetic field is along the z axis and its component is given by: A. (Em/c) cos(kx + ωt) B. −(Em/c) cos(kx + ωt) C. −(Em/c) sin(kx + ωt) D. Em cos(kx + ωt) E. (Em/c) sin(kx + ωt) how and why b is wrong
The plane monochromatic electromagnetic wave has frequency ?, polarized in the positive ?-axis direction moving towards...
The plane monochromatic electromagnetic wave has frequency ?, polarized in the positive ?-axis direction moving towards the positive ?-axis direction. The amplitude of the electric field is ?0, and the start of time is chosen so that at ? = 0, the electric field has a value ?0/2 at the origin. Give answers with only the variables above and speed of light is c and permittivity ?0. a. Write the electric field of the wave. b. Find the associated magnetic...
The magnetic field is given by By = Bo sin(kz - ωt). If the electromagnetic wave...
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
a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 48.0 m...
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 point charge q is moving in uniform electric field (E0 in the z-direction) and uniform...
A point charge q is moving in uniform electric field (E0 in the z-direction) and uniform magnetic field (B0 field in the x-direction). (i) What is the force acting on the charge particle? Find equations of motion for the charge particle. (ii) Assume that initially the charge is placed the origin and has initial velocity (E0/2B0) in the y-direction. Determine position and velocity of the charge particle as a function of time. (iii) Find the trajectory of the particle and...
Microwaves in a home microwave oven can be modeled as a linearly polarized plane wave in...
Microwaves in a home microwave oven can be modeled as a linearly polarized plane wave in vacuum with a magnetic field given by  B⃗ =B0sin(ky+ωt)x^B→=B0sin⁡(ky+ωt)x^. Here, B0=B0= 0.22 mT and  ω=ω= 2 ×1010×1010 rad/sec. 1) What is the wavelength? λ=λ= 9.42 cm λ=λ= 1.88 × 1017 cm λ=λ= 1.5 cm 2) The associated electric field is given by: E⃗ =−B0csin(ky+ωt)z^E→=−B0csin⁡(ky+ωt)z^ E⃗ =−B0csin(ky−ωt)z^E→=−B0csin⁡(ky−ωt)z^ E⃗ =−B0csin(ky+ωt)y^E→=−B0csin⁡(ky+ωt)y^ E⃗ =B0csin(ky−ωt)y^E→=B0csin⁡(ky−ωt)y^ E⃗ =B0csin(ky+ωt)z^E→=B0csin⁡(ky+ωt)z^ 3) A round dinner plate of radius r = 8 cm is placed in...
A plane monochromatic electromagnetic wave with wavelength λ = 3.2 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength λ = 3.2 cm, propagates through a vacuum. Its magnetic field is described by B⃗ =(Bxi^+Byj^)cos(kz+ωt)B→=(Bxi^+Byj^)cos⁡(kz+ωt) where Bx = 3.6 X 10-6 T, By = 4.4 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1)What is f, the frequency of this wave? 2)What is I, the intensity of this wave? 3)What is Sz, the z-component of the Poynting vector at (x = 0,...
A plane monochromatic electromagnetic wave with wavelength λ = 4.9 cm, propagates through a vacuum. Its...
A plane monochromatic electromagnetic wave with wavelength λ = 4.9 cm, propagates through a vacuum. Its magnetic field is described by B⃗ =(Bxi^+Byj^)cos(kz+ωt) where Bx = 3.8 X 10-6 T, By = 3.2 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 2) What is I, the intensity of this wave? 3) What is Sz, the z-component of the Poynting vector at...
An electric field traveling through vacuum can be described as a plane wave E(r,t) = Eoexp[-i(ωt...
An electric field traveling through vacuum can be described as a plane wave E(r,t) = Eoexp[-i(ωt + k•z)]. (a) What is the angular frequency, wavelength, wave number, velocity, direction of propagation, and electric and magnetic field amplitude of this light wave? (b) Write equations describing the electric and magnetic fields in sinusoidal form, with all known quantities expressed numerically. (c) Write equivalent equations in complex exponential form. (d) What would be the maximum electric and magnetic forces exerted by this...