I am a gate aspirant trying to understand the concept of radiation intensity and solid angles, understood it from my notes but wanted to understand it in 3d , this video is really crystal clear, just cleared all my confusion, the rest radiation is easy, only this part is a bit tricky, thanks buddy.
For finding AB we use the same concept that we used for finding BC from triangle OBC. We took the triangle ABD where BD = r sin(theta). Here angle BDA is d(phi). So using the concept of l =r theta, explained at 4:38, we have BD as the r (radius of the circle), small angle d(phi) and AB as l (arc length). Now we get AB = BD d(phi) . On putting the value of BD we finally get AB = r sin(theta) d(phi).
@@muhammadbehram8820 Sorry for the late response, I didn't saw your comment earlier. BD is not acting as radius. In Triangle BOD, OB is the radius r and angle DOB is theta. So we can write sin(theta)=BD/OB, by rearranging we get BD=OB * sin(theta), BD= r sin(theta). I hope it is clear now.
When radiation is emitted from any hot surface considering it to be black body, then equal amount of energy is emitted into all directions. But when travelling radiation further travels into a medium, the strength may differ in different directions depending upon the medium properties in that direction. Like if in any direction, the medium has more water vapors or mist, the radiation will be attenuated (absorbed or scattered) in that direction more and the radiation will not be able to travel longer distances.
Milaan, the angle d(phi) is the angle ADB at vertex D and possible only in triangle ABD. In triangle OAB, d(phi) angle is not possible. That is why triangle ABD is considered for finding the length of AB.
first of all great video explanation, understood it all some suggestions fo ryou to attract more audience 1) Change the case of your channel name to a normal one, i.e. "Engineering Streamlined", it is more pleasant 2) Dont insert this music file to every video and part, either put slow music ( any artist, but not vocals) or just audio is enough 3) I know that the videos are made through powerpoint, which is not a problem, but try using a different intro, a more simpler one, or make it using AI done, you will look much more proffesional than ever
Thanks for your question. It is difficult to explain in comments why the formula for solid angle is dAj/r^2. You can see this video below: th-cam.com/video/6GE7dF2CyRw/w-d-xo.html. It has shown how the formula comes.
Triangle BDO is a right angled triangle at point D with angle BOD = theta and OB = r. So, we can write sin(theta) = BD/ r. On rearranging, we get BD =r *sin(theta). In triangle ABD, angle ADB = d(phi). Now, we use the formula mentioned at 4:39, l = r * theta. So in triangle ABD, AB here represents l and d(phi) represents theta and BD represents r. Finally we can write AB = r sin(theta) * d(phi). I hope it gets clear now.
@@kellylin8364 If you see the angle d(phi), it is formed by the axis t_1 and line from point O making the phi angle. It is not looking similar in the figure, but line AD is similar to axis t_1 and line BD is similar to the line from point O making the phi angle. So, angle ADB is equal to d(phi).
In LED, reflectors are used to mainly optimize the uniform distribution of light for good illumination distribution. The light is initially emitted from the LED, so it is important to know the solid angle because without its knowledge it is not possible to know the location on the reflector where light will fall and get reflected. To track the light rays, solid angle is required. When dealing with light direction in 3D space, solid angle is the best way to determine the direction where light will travel.
@@ENGINEERINGSTREAMLINED Can you share video on it ? My led Solid Angle is 120 deg now how to design reflector which can meet requirement of Tail & Stop Lamp as per Norm ? What steps to be followed or what information should to know while design Led reflector.
@@yusufmulani9495 I do not have much knowledge related to LED Reflector design. But I am sharing some links to some papers which may be helpful for you. www.hindawi.com/journals/aoe/2018/7138592/ www.researchgate.net/publication/259560095_Design_of_LED_edge-lit_light_bar_for_automotive_taillight_applications www.osapublishing.org/ao/abstract.cfm?uri=ao-52-21-5221
No! That is the formula for area subtended due to solid angle. clearly that is not the formula for solid angle as solid angle is dimensionless and clearly what u have written has the dimension of R^2 {length * length)
Theta is varying from 0 to pi/2 because for a surface emission, the radiation is emitted only within the hemispherical volume. If you see the figure at the last part of the video, it is a hemisphere and theta can only be varied between 0 and pi/2. But if you consider volume emission, then emission will happen within a sphere and theta will vary from 0 to pi.
I am a gate aspirant trying to understand the concept of radiation intensity and solid angles, understood it from my notes but wanted to understand it in 3d , this video is really crystal clear, just cleared all my confusion, the rest radiation is easy, only this part is a bit tricky, thanks buddy.
I am glad this video was helpful for you. Good luck for your GATE exam.
never hadn't seen this such explanation ❤❤❤❤ thanks a lot bruhhhh!
Thanks for such kind words
Finally I have understood the concepts very much well ❤❤❤❤
Thanks a lot ❤❤
Glad it was helpful for you
Please Keep making conceptual videos with the help of animations.
You are really doing great things for us ❤❤❤❤ ❤❤❤
@@kamalkishorkumar5021 Thanks once again. You can also suggest any specific topic that you would like me to make video on.
thank you for this video , i really understand but there is something i did not realize it at 5:18
how did you find that AB= r sin( theta) d(phi) ??
For finding AB we use the same concept that we used for finding BC from triangle OBC. We took the triangle ABD where BD = r sin(theta). Here angle BDA is d(phi). So using the concept of l =r theta, explained at 4:38, we have BD as the r (radius of the circle), small angle d(phi) and AB as l (arc length). Now we get AB = BD d(phi) . On putting the value of BD we finally get AB = r sin(theta) d(phi).
Still confused that how BD can act as the radius r?
@@muhammadbehram8820 Sorry for the late response, I didn't saw your comment earlier. BD is not acting as radius. In Triangle BOD, OB is the radius r and angle DOB is theta. So we can write sin(theta)=BD/OB, by rearranging we get BD=OB * sin(theta), BD= r sin(theta). I hope it is clear now.
your way of explanation is good
Thank you for the appreciation.
Wow! That is a fantastic explanation of a topic that it is easy to get lost in. Thanks.
Thanks for the compliment. I am glad it was helpful for you.
This is a fantastic video
I love the perfect visual representations
You helped me understand this better
Thank you❤
@@MECHA_GOD I am glad you liked the visual representations and the video.
Amazing explanation. Very clear and helpful. Thank you. ❤
I am glad you liked the explanation
Thank you very much. This is an excellent presentation, with perfect graphical and mathematical explanations.
Thank you very much for the appreciation
Very easy and clear explanation
Very nice 👍 This kind of presentation makes me learn better 😌
Thanks for the appreciation
Thanks, nice explanation. This is also useful when studying antennas.
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Great video, helped a lot
Glad you liked it. Do watch my other videos if you need knowledge related to heat transfer.
Why does radiation energy have different strengths in different directions?
When radiation is emitted from any hot surface considering it to be black body, then equal amount of energy is emitted into all directions. But when travelling radiation further travels into a medium, the strength may differ in different directions depending upon the medium properties in that direction. Like if in any direction, the medium has more water vapors or mist, the radiation will be attenuated (absorbed or scattered) in that direction more and the radiation will not be able to travel longer distances.
Fantastic....nice explanation...
Thanks for the appreciation. Do watch my other videos if they are relevant to you and share it with your friends.
@@ENGINEERINGSTREAMLINED definitely I will. I think this channel should get more subscribers.becoz you deserve that.....
@@irfanahmad6885 Thanks Irfan for your kind words
This is the best explanation of solid angle till now! Thank you 🫡
Thanks for the appreciation 😊
This is badass
Did you like the explanation?
sure is, especially the intro!
Why we divide r^2 and not r to get solid angle, what is the explanation behind the formula?
You can see the explanation in this video th-cam.com/video/6GE7dF2CyRw/w-d-xo.html
@@ENGINEERINGSTREAMLINED thank you so much.❤️
Thank you for explaining the intuition behind solid angle..
Found this very useful...👍
Glad you liked the video
How the heck did I find myself here
Did you like the video?
Yes sir @@ENGINEERINGSTREAMLINED
@@ShidhantSoni-i5e Thanks
Thank you thank you thanks a lot🙏🙏🙏what a great explanation!
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@@ENGINEERINGSTREAMLINED sure sir😊
thanks, this is useful than my teacher
Glad it was helpful. Do share it with your friends.
Really great video.Thank you sir
Glad you liked the video
The Best Teaching 👌 thanks
Thanks for the appreciation😀
nice explination sir. hope u will continue making videos
make sure to tag your videos so ur channel will grwo., e.g. this video is related to iit jee
Thanks for the compliment. I will continue to make more videos. Just not getting enough time to complete a video in process.
@anonymous apni kaksha?
great explanation
Thanks for the appreciation.
instead of considering triangle ABD and taking AB=r*sin(theta)*d(phi). Why cant we consider triangle OAB and take AB=r*d(phi)?.
Milaan, the angle d(phi) is the angle ADB at vertex D and possible only in triangle ABD. In triangle OAB, d(phi) angle is not possible. That is why triangle ABD is considered for finding the length of AB.
@@ENGINEERINGSTREAMLINED Than makes it clear, I overlook it.
@@milaanpatel4997 I am glad that your doubt is clear. Do share with your friends if they need this video.
Great explanation 🎉
Thanks for the appreciation
Excellent explanation. Thank you!
I am glad you liked the video.😄
first of all great video explanation, understood it all
some suggestions fo ryou to attract more audience
1) Change the case of your channel name to a normal one, i.e. "Engineering Streamlined", it is more pleasant
2) Dont insert this music file to every video and part, either put slow music ( any artist, but not vocals) or just audio is enough
3) I know that the videos are made through powerpoint, which is not a problem, but try using a different intro, a more simpler one, or make it using AI
done, you will look much more proffesional than ever
Thank you very much for those thoughtful suggestions. I will try to implement them in my next video.
the question is, why dSolidAngle = dAj/r^2 ? please answer my question, Sir
Thanks for your question. It is difficult to explain in comments why the formula for solid angle is dAj/r^2. You can see this video below:
th-cam.com/video/6GE7dF2CyRw/w-d-xo.html. It has shown how the formula comes.
You can view my latest video also on the solid angle formula ds/R^2
exact my question
i was gotten mental from few hrs
@@Spirit365 I have answered your doubt in the other video (Why solid angle is given by the formula 𝑑𝛺=𝑑𝑆/𝑅^2) comment where you asked the question.
Good job. Thank you
Thank you for the appreciation. Do watch my other videos if they are relevant to you.
Really helped video, thank you so much!
Glad it helped!
very hard work man . thanks very much
Glad it was helpful for you
5:10 how did u justify lenght of AB u skipped the most important derivation?
Triangle BDO is a right angled triangle at point D with angle BOD = theta and OB = r. So, we can write sin(theta) = BD/ r. On rearranging, we get BD =r *sin(theta). In triangle ABD, angle ADB = d(phi). Now, we use the formula mentioned at 4:39, l = r * theta. So in triangle ABD, AB here represents l and d(phi) represents theta and BD represents r. Finally we can write AB = r sin(theta) * d(phi). I hope it gets clear now.
@@ENGINEERINGSTREAMLINED Why angle ADB=d(phi)?
@@kellylin8364 If you see the angle d(phi), it is formed by the axis t_1 and line from point O making the phi angle. It is not looking similar in the figure, but line AD is similar to axis t_1 and line BD is similar to the line from point O making the phi angle. So, angle ADB is equal to d(phi).
what is d significance of solid angle in led reflector design?
In LED, reflectors are used to mainly optimize the uniform distribution of light for good illumination distribution. The light is initially emitted from the LED, so it is important to know the solid angle because without its knowledge it is not possible to know the location on the reflector where light will fall and get reflected. To track the light rays, solid angle is required. When dealing with light direction in 3D space, solid angle is the best way to determine the direction where light will travel.
@@ENGINEERINGSTREAMLINED Can you share video on it ? My led Solid Angle is 120 deg now how to design reflector which can meet requirement of Tail & Stop Lamp as per Norm ? What steps to be followed or what information should to know while design Led reflector.
@@yusufmulani9495 I do not have much knowledge related to LED Reflector design. But I am sharing some links to some papers which may be helpful for you.
www.hindawi.com/journals/aoe/2018/7138592/
www.researchgate.net/publication/259560095_Design_of_LED_edge-lit_light_bar_for_automotive_taillight_applications
www.osapublishing.org/ao/abstract.cfm?uri=ao-52-21-5221
Thank You
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Hello sir....our sir had taught us the formula of solid angle as 2πR^2(1-cos theta) is it tight???
just trust your sir will you
No! That is the formula for area subtended due to solid angle. clearly that is not the formula for solid angle as solid angle is dimensionless and clearly what u have written has the dimension of R^2 {length * length)
No it's not, it is 2pi(1-costheta)
Why thita is varying fron 0 to pi/2 not from 0 to pi
Theta is varying from 0 to pi/2 because for a surface emission, the radiation is emitted only within the hemispherical volume. If you see the figure at the last part of the video, it is a hemisphere and theta can only be varied between 0 and pi/2. But if you consider volume emission, then emission will happen within a sphere and theta will vary from 0 to pi.
@@ENGINEERINGSTREAMLINED can you plz make video on how angle 0 to pi cover whole volume of sphere
@@nishaantil7503 Ok. But making a video will take few days.
@@ENGINEERINGSTREAMLINED no problem
@@ENGINEERINGSTREAMLINED thank u very much 🙏🙏
music? Best video, thanks
Thanks for the appreciation. The music is from TH-cam's audio library.
Very nicely explained! (y)
Thanks for the compliment
use manim to make videos it will be helpful in making math animations.
Thank you very much Dhawal. I will try to use this software.
Thanks very much. I like the video just that the translation written in French hinders me from seeing clearly what is been shown on the figures
I am glad you liked the video. Sorry, I can't do anything related to subtitles. Its up to TH-cam.
thank you very much. very useful
I am glad the video was useful for you.😀
Useful .. thxxx 😭💗
I am glad the video was useful for you
thank you so much
Glad this video was helpful for you
THANK YOU SO MUCH!
Glad you liked the video
so I can assume the earth a plane and use the solid angle to triangulate my position
Interesting thought. Maybe you can. But I am not an expert in this area.
I'm not an expert. I just have a lot of questions that led me to your video. Thanks for sharing.
thank you!!!
Glad it was helpful. Do share it with your friends and watch my other videos if they are relevant to you.
Thanks sir
I am glad the video was helpful for you 'Kakashi'.
Good!
Thanks for the appreciation
thanks man
@@kings.a.z7752 Glad you liked the video
THANKS
😀
W explanation
@@sohamadak6811 What does 'W explanation ' means?
W is a slang for win, but basically here i mean to say, excellent explanation
@@sohamadak6811 Ok. Thanks for the comment.
@@sohamadak6811Do you study in IIT Roorkee?
@@ENGINEERINGSTREAMLINED Yes sir, btech first year Electrical
Ty
BEST ONE
Thanks
Legend
Thank you for the appreciation. It really motivates me.
Dope
Did you like it?
@@ENGINEERINGSTREAMLINED yuuuup
@@1106link I am glad you liked the video
sir 3d mai
Its explained in 3D only
Sir please help me
What help do you need?
L
Very good. Thank you
Thank you for the appreciation.
Thank you
I am glad the video is helpful to you