It depends. From a classical mathematics point of view, this video has the standard notation. Since this is a math topic, I can see why he used it. Now, if it were a physics refresher, then yes, you're right...you would switch the angles; however, it depends on the book you're using. I'll take a guess and say you're coming a physics background using older textbooks. If not, then just switch the angles in your head as it's not hard to do.
so it will be between 0 and pi because the z axis has only 2 directions. now say you have point A in somewhere like the third quadrant, now phi would be higher than pi but it turns out you will start counting phi anti clockwise this time so phi will always be between 0 and pi. hope this was helpful
Really helpful and somewhat aesthetic, too. I've been struggling with Multi-variable Calculus for so long and finally your video helped me gasp the concept. I don't have to fear it any longer and this should be less challenging. So, thanks so much.
someone please explain the restrictions for phi and theta. from what I've read theta is 0 to pi (-90 to 90) and phi is 0 to 2pi (-180 to 180). I'm totally new to this kind of math so its quite confusing to me but it seems like this video is getting phi and theta mixed up compared to what im reading about the spherical coordinate system
why there is an angle phi between 0 & pie...and theta between 0 & 2pie... and why we've considered angle theta with reference to x-axis.... plz answer it
+Avani Punjani Hi, I don't know if this is already too late or not, but phi goes from 0 to pi because theta rotates by 2pi. If you imagine the phi angle, and make it pi, then rotate it by 2 pi around the z axis, you'll sketch a sphere, if you give phi the value of 2pi then when you rotate that around the z axis by 2pi you'll get that same sphere twice, before you'll be covering the same distance twice. I hope that was clear enough. The reason we consider theta with reference to the x axis if because if you cut the sphere with horizontal plane (parallel to the xy plane) you'll have a circle in the xy plane, and usually when you want to consider theta in that plane you do it with reference to the positive x axis.
If his voice makes you sleepy change the playback speed to 1.5 or 1.75
is this one of those asmr videos bc all i can think about is the sound of him smacking his lips like wow
it is better to switch theta and phi according to traditional notations
It depends. From a classical mathematics point of view, this video has the standard notation. Since this is a math topic, I can see why he used it. Now, if it were a physics refresher, then yes, you're right...you would switch the angles; however, it depends on the book you're using. I'll take a guess and say you're coming a physics background using older textbooks. If not, then just switch the angles in your head as it's not hard to do.
You video cures insomnia. Dude, you can get rich. :)
Why is 0 < phi < Pi? Seems like it should be 3/2Pi < phi < Pi/2
Phi is the angle between the z axis and the segment OA (O being the origin, A being the point in the video)
so it will be between 0 and pi because the z axis has only 2 directions. now say you have point A in somewhere like the third quadrant, now phi would be higher than pi but it turns out you will start counting phi anti clockwise this time so phi will always be between 0 and pi. hope this was helpful
thank you brother, you are a life saver.
T minus 5 hrs till my final exam lol
Really helpful and somewhat aesthetic, too. I've been struggling with Multi-variable Calculus for so long and finally your video helped me gasp the concept. I don't have to fear it any longer and this should be less challenging. So, thanks so much.
really appreciable ...I saw a no. of videos BT dis made me understand in sec..keep it up..! n thanku..!
Thank you for such a wonderful explanation!
I almost fell asleep from your voice..
that lecture is done perfect for me, thanks.
someone please explain the restrictions for phi and theta. from what I've read theta is 0 to pi (-90 to 90) and phi is 0 to 2pi (-180 to 180). I'm totally new to this kind of math so its quite confusing to me but it seems like this video is getting phi and theta mixed up compared to what im reading about the spherical coordinate system
Do yourself a favor and watch at 1.5x speed : )
Thank you this helped me a lot.
where is the next video?
great lecture
why there is an angle phi between 0 & pie...and theta between 0 & 2pie... and why we've considered angle theta with reference to x-axis.... plz answer it
+Avani Punjani Hi, I don't know if this is already too late or not, but phi goes from 0 to pi because theta rotates by 2pi. If you imagine the phi angle, and make it pi, then rotate it by 2 pi around the z axis, you'll sketch a sphere, if you give phi the value of 2pi then when you rotate that around the z axis by 2pi you'll get that same sphere twice, before you'll be covering the same distance twice. I hope that was clear enough.
The reason we consider theta with reference to the x axis if because if you cut the sphere with horizontal plane (parallel to the xy plane) you'll have a circle in the xy plane, and usually when you want to consider theta in that plane you do it with reference to the positive x axis.
@@Fattyboye please explain same about cylindrical coordinates
Useful video
Thanks for uploading, very helpful
its (p,theta,phi) not (p,phi,theta)
True.
Great analysis
Just unblocked my mind, thank yoooou
thankss it's really helpful +Pedro Mendes
Very good
yooo where are the other examples!!!!!!!!
I'll be making more on electronics soon! More math too but on very selective topics. I might try a few general ones to see if people like them though.
Why they range is up to phi only
if it is a full sphere then theta will go all around so its 2pi but phi will only be changin in the positive z-axis so its just pi.
colatitude angle how to mesure
thank you!
Splendid
totally owsum thanx :)
man didn't use a single number
in figure.... how this right angle came.. between x-y plane ? AND ONE ON z-y plane.. ?
what if r=0
It would just be a point!
I don't understand why I am so stupid