Hello Professor, I was just wondering that in slide 20, did you consider the phase angle of Zo to be negative? Because the exponential term in I(z) is shown positive. Thank you
I am struggling to answer this because I need to think about it. LOL Mathematically, it is correct as I have written. I think whether you are using negative or positive sign convention would change the sign of theta. If you carried that sign in the equations as written, everything should still work.
Excellent lecture professor! I am curious how did you reduce alpha to such an expression in 21:56? Is the full derivation in the textbook or somewhere else?
Great question. I have no idea where the derivation is and I cannot seem to find it. So, I did it myself and added the derivation to the notes. You can get links to the latest version of the notes and videos from the course website, along with other learning resources. In fact, I recommend using the course website as your main portal. empossible.net/emp3302/ The derivation is not special to weakly absorbing lines. It is an alternative derivation of general equations for alpha and beta that show how impedance affects them. This is usual for the discussion on weakly absorbing lines. Hope this helps!!
Hi, I wanted to find out how did you derive the equation for alpha squared from the quadratic formula specifically the term under the square root? Its the last equation at the bottom of the slide. The slide is 5:55 minutes into your presentation. Thanks.
At time 5:32 I show the definitions of a, b, c and x for the quadratic formula. The expression inside of the square root is b^2 - 4ac. After some algebra, I arrive at what is on the slide. Does this help?
@@empossible1577 Thanks for your prompt response. I understood the terms under the square root. I tried the algebra to derive the final terms under the square root and I could not get that value.
@@krishnanaidoo280 I looked at the slides and caught a small mistake that may have tripped you up. When I wrote the 4ac term I did not include the ^2 power in the expression for c. Anyway, I have added an Appendix to the lecture notes with the details of that derivation. You can get the latest version of the notes from the course website: empossible.net/academics/emp3302/
@@empossible1577 Thanks very much for your assistance. At the outset, I want to commend you for these lectures which are very well presented and easy to follow. Thank you.
Hi, thanks for this whole series of videos, so far they're very insigthful, i have one question regarding losless lines. In wich real life cases can i consider R=G=0? Seems like a very useful approximation but im failing to visualize when i can apply it. Again, thanks for this series
It is best applied to very short transmission lines when the loss cannot manifest itself as much. It is also very useful when just studying transmission lines and devices and you are trying to accurately calculate how a device would behave.
@@valentinmariatti2780 Yeah, I think pretty much the same. Remember, these approximations are only intended to make the math easier so that we can study and understand basic transmission line behavior. When it comes to actually designing a device, especially a high-performance device, we would typically not make any assumptions and let a powerful computer do a rigorous simulation to finish the design.
Hello Professor, I was just wondering that in slide 20, did you consider the phase angle of Zo to be negative? Because the exponential term in I(z) is shown positive.
Thank you
I am struggling to answer this because I need to think about it. LOL
Mathematically, it is correct as I have written. I think whether you are using negative or positive sign convention would change the sign of theta. If you carried that sign in the equations as written, everything should still work.
Before watching this video, I just want to say thank you so much for the effort and making this video!
Thank you!! I hope it helps!
Excellent lecture professor! I am curious how did you reduce alpha to such an expression in 21:56? Is the full derivation in the textbook or somewhere else?
Great question. I have no idea where the derivation is and I cannot seem to find it. So, I did it myself and added the derivation to the notes. You can get links to the latest version of the notes and videos from the course website, along with other learning resources. In fact, I recommend using the course website as your main portal.
empossible.net/emp3302/
The derivation is not special to weakly absorbing lines. It is an alternative derivation of general equations for alpha and beta that show how impedance affects them. This is usual for the discussion on weakly absorbing lines.
Hope this helps!!
As always, really good material, thank you very much! At 21:27, you say that R is "much less" than omega L, however, the slide says '
Good catch! R
Excellent
Amazing lectures and super amazing continuity in the explanation. Do you have lecture link for Microwave engineering?. Thanks in advance
Thank you!! Here is the link that will take you to the Microwave Engineering course website.
empossible.net/academics/emp4301_5302/
this is literally the greatest thing
Thank you so much for your good training materials and wonderful presentation!
:)
You are welcome! I enjoy making the materials!
Hi, I wanted to find out how did you derive the equation for alpha squared from the quadratic formula specifically the term under the square root? Its the last equation at the bottom of the slide. The slide is 5:55 minutes into your presentation. Thanks.
At time 5:32 I show the definitions of a, b, c and x for the quadratic formula. The expression inside of the square root is b^2 - 4ac. After some algebra, I arrive at what is on the slide. Does this help?
@@empossible1577 Thanks for your prompt response. I understood the terms under the square root. I tried the algebra to derive the final terms under the square root and I could not get that value.
@@krishnanaidoo280 Hmmm. I wish RUclips had LaTex in the comments to do equations. Typing something would be a mess. It is ugly, but it all works out.
@@krishnanaidoo280 I looked at the slides and caught a small mistake that may have tripped you up. When I wrote the 4ac term I did not include the ^2 power in the expression for c. Anyway, I have added an Appendix to the lecture notes with the details of that derivation. You can get the latest version of the notes from the course website:
empossible.net/academics/emp3302/
@@empossible1577 Thanks very much for your assistance. At the outset, I want to commend you for these lectures which are very well presented and easy to follow. Thank you.
Hi, thanks for this whole series of videos, so far they're very insigthful, i have one question regarding losless lines. In wich real life cases can i consider R=G=0? Seems like a very useful approximation but im failing to visualize when i can apply it. Again, thanks for this series
It is best applied to very short transmission lines when the loss cannot manifest itself as much. It is also very useful when just studying transmission lines and devices and you are trying to accurately calculate how a device would behave.
@@empossible1577 Awesome, distorsionless lines have the same cases? Or do i have to take other considerations?
@@valentinmariatti2780 Yeah, I think pretty much the same. Remember, these approximations are only intended to make the math easier so that we can study and understand basic transmission line behavior. When it comes to actually designing a device, especially a high-performance device, we would typically not make any assumptions and let a powerful computer do a rigorous simulation to finish the design.
@@empossible1577 Ok, got it, thanks for your time!
Which playlist does this fall under ?
Applied Electromagnetics
Good video, if you change the speed of the video to 1.25 you sound exactly like Red from Pineapple Express.
Psycaedelics Is Red a cool person? I have not heard this one before! Ha ha
Amazing
Thank you!