Recent content by Sokolov

Okay, how basic was it... Thank you!

I'm new with Mathematica and I'm not sure why when I enter this equation an error happens. Could anyone please help me with it?

Ok thanks. But I don't see what you said about the two reflections... Could you explain it further?

Ok, let's denote ##E_n(x)## the amplitude of the ray emerging from the point ##n##. Then, ##E_n(x)=E_0r^ne^{i(\omega t +\Lambda _n (x))}##. For the first points, the phases ##\Lambda_n(x)## will be: ##\Lambda_0(x)=-kx+\delta_0## ##\Lambda_1(x)=\Lambda_0(L)-k(L-x)+\pi=-kL+\pi+\delta_0##...

I didn't write, but the problem's statement says that it is not necessary to consider rays that enter the cavity after being transmitted and reflected, this may simplify the integral. However, how could I adjust the phase in terms of ##x## for each reflected ray?

I have uploaded again the image. The problem asks about the irradiance ##I(x)##, and it is expected to have maximums and minimums depending on ##x##, so I think it is relevant...

The setup of the problem is shown in the image below. I know that I must add all the contributions of each reflected ray and that its amplitude will be reduced by a factor ##r## each time it is reflected. So after the n-th reflection, its amplitude will be ##E_0r^n##, with ##E_0## the amplitude...

I'm looking for an alternative textbook to the Hetch-Zajac's one. I am a physics undergraduate student, and this is the recommended book for the subject, so I would like to find a book that covers more or less the same topics. There are two main problems I find at Hetch: Firstly, its extreme...

I think that the result must be given in terms of ##P_{max}##. The exercise ask also to apply the result for the particular case that ##R1=2.8 kΩ, R2=3.7 kΩ, R3=1.8 kΩ## and ##P_{max}=0.5W##

I see that ##V_{ac}=V_{ab}+V_{bc}##, with ##V_{ab}=I_1R_1=I_2R_2## and ##V_{bc}=I_3R_3##. However, I don't see how to express mathematically the maximum value of ##V_{ac}##. Could someone please help me with this task?

In Thermodynamics, I have seen that some equations are expressed in terms of inexact differentials, ##\delta##, instead of ##d##. I understand that this concept is introduced to point out that these differential forms are path-dependent, although I am not clear how they can be handled. So, are...

Thanks rude man! With your hints and BvU's answer I think that I have been able to solve the problem correctly :) .

Hi BvU, thanks for the answer! It was just what I needed to know in order to be able to solve the problem.

What would the fact that the fifth surface is connected to the ground imply: that V(r=R_5)=0 or that \sigma _5=0?