Write down a list of nine features of the radiation fields that can be deduced

blueyellow

Homework Statement



In the limit of large distances, the electric field that is associated with the radiation magnetic fields is given by the real part of:

E(r)=[(μ(subscript 0) I(subscript 0) δ l)/(4pi)] cos θ ((-i ω)/r)exp [i(kr-ωt)] θ-hat

The magnetic field is given by the real part of:

B(r)=[(μ(subscript 0) I(subscript 0) δ l)/(4pi)] sinθ [((-i ω)/(rc))+(1/(r^2))]exp [i(kr-ωt)] phi-hat

Write down a list of up to nine features of the radiation fields that can be deduced from the form of the expressions for the radiation B and E fields. You should consider the relationship between E and B, the factors determining the amplitude of the wave, the polarisation of the wave, the speed of the wave and the shape of the waveform.

The Attempt at a Solution



E and B are perpendicular to each other.
They are traveling in the same direction.
They both have a sinusoidal shape.
They have different amplitudes.
They are linearly polarised.

That's all I can think of. Please help me think of some more.

How do I deduce the speed of the wave from those equations?
 
Physics news on Phys.org
E is traveling in the theta-hat direction.
B is traveling in the phi-hat direction.

But I am really stuck on thinking up two more features to answer the question. Please help.
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top