Question

In a vacuum (without materials, and without sources for electromagnetic fields), use Maxwell's equations to prove that fields E and B propagate as waves.

Answer #1

Maxwell's equations. What are the sources of fields, and how do
fields interact?

Using sinusodial plane wave, prove no longitudinal
electromagnetic wave exists in a vacuum. Only use Maxwell's
equation, not stoke's theorem or divergence theorem.

Explain briefly using Maxwell's equations in a vacuum the
propagation of light waves.

Considering you have monochromatic plane electromagnetic wave
traveling (in a vacuum) in the positive z direction. Use Maxwell's
equation, show that:
C) The electromagnetic wave is transverse
D) the B and E fields are perpendicular to each other

2. Prove that no longitudinal electromagnetic wave exists in a
vacuum. (10pt, no partial scores)
Note:
1. You must start from the Maxwell equation included in the
textbook. If you use the form of the Maxwell equation not in the
textbook, your score will be 0.
2. Hint: If you prove this from sinusoidal plane wave, you can
generalize that it is valid for general wave as well (you can use
it without proof.)

Suppose that an electromagnetic wave which is linearly polarized
along the x−axis is propagating in vacuum along the z−axis. The
wave is incident on a conductor which is placed at z > 0 region
of the space. The conductor has conductivity σ, magnetic
permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density
which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for
a plane wave propagating in...

I read this great answer to this question:
Numerical software to manipulate a light beam in its plane wave
representation?
The main thing that I am trying to clear in my head is the
following:
Given that plane waves are eigenmodes of maxwell's equations in
free space in the absence of sources, shouldn't I be able to use
this to propagate a planar e/m field exactly (ignoring aliasing
effects)?
For example I know the field that exits in the x,...

A plane-polarized electromagnetic wave in vacuum
E (x, t) = E0eikx–iwt (in the epsilon-hat
direction); cB(x, t) = k × E(x, t)
falls at an angle of incidence θ on an infinite plane dielectric
of finite depth, where its reflection coefficient is R (the ratio
of the incoming Poynting flux to the reflected flux). Assuming all
the refracted/transmitted electromagnetic wave is eventually
absorbed in the dielectric (that is it does not pass out the other
side) use the stress tensor...

pls answer ASAP
Q. Multiple Choice WITH Explanation.
1) Use equations to support your answer to this
question. Do not forget to explain
your reasoning. No credit without explanation. Let GDP and GNI be
the gross domestic
product and the gross national income of Brazil. Suppose that in
2019, Brazil’s
GDP = 1.86 trillion dollars and its GNI = 1.65 trillion dollars.
Also assume that in
that year the trade balance, net unilateral transfers, and the
investment income
of Brazil...

Please provide a brief overview on:
chapter 21
1. Can I obtain the net electric field due to two or
more point charges?
2. Can I obtain the net Coulomb force on a point charge
due to two or more point charges?
3. Can I draw physical quantities (for example,
velocity, forces or electric fields) involved in a given problem in
a diagram?
4. Do I have a good "qualitative" understanding of the
motion of a charged particle in a...

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