Hi everyone, thanks so much for your support! Also, a big thanks to Skillshare for sponsoring this video - check out this link for a free trial of Skillshare Premium Membership: skl.sh/parthg03211
Hey Parth can you please make the next short or video on the topic “whether Einstein was right while disproving the uncertainty principle “ Linking the reference video below ruclips.net/video/UDZZkUojk6A/видео.html
Isn’t the mathematical language a tool for studying other natural language topologies as well? Just as the astronomers who are studying the innumerable celestial objects, could we not study the words of natural languages to understand their effects on the biological phenomena (such as anger, emotions, motivations, leaderships) and resulting societal behaviors? Could their be forces such as the electromagnetic or weak nuclear, that emerge from neuronal memories? Just wondering!!
i love your videos! someone could literally know nothing and never be lost while watching them, even though they never get boring if you know some information already
I had a momentary confusion about notation. I had learned to note the integration over a closed are using a double integral sign with the circle rather than what looks like a line integral sign with the subscript "s" that you use. Thanks for this, clear as usual. I'm reviewing all my college math/physics from 40 years ago for no particular reason.
Thank you Parth. I never studied this equation in my physics minor and its great to see vector calculus's Gauss' Law again. I only saw it in the context of electric/magnetic fields and never in gravitational fields so this is quite lovely fresh new content. Keep spreading the word.
Many thank, Path! I wish my original profs had been as clear - and as patient. One minor thing - when at the end you use the word 'upload', it sounded to my ear almost as 'implode'! Please upload many times, please never implode!
I was looking for an explenation for the Poisson Equation in the Heat Equation and i am still stunned by your intutive explenation of Nabla. Thank you so much.
I'm subscribing just for this video, I knew nothing about Poisson's equation before watching, and I only have a basic understanding of vector calculus. But I understood every word. Thank you.
In explaining the curly d’s I wouldn’t say we’re assuming the other variables are constant. But that they are constant! They’re held constant and it’s only the x values that are allowed to change.
10:40 Is a good way to think about why the curl 0 intuitively is because if it wasn't then it would take different amounts of energy based on which path you took from a point A to a point B? IE Space not being completely flat everywhere?
Great video! Definitely a difficult subject to try to explain in a few minutes 😅 One constructive critique though is that your notation wasn't consistent exactly, that makes it really difficult for beginners to follow.
You should derive the integral form so that students understand how the closed surface integral of g equals to -4pi*GM, which is not a difficult demonstation.
The curl of E is not always zero because electric fields can also arise from time changing magnetic fields (in addition to electrically charged sources).
I would love to see a series where you explain all important concepts of vector calculus and the intuition behind them like curl, gradient, divergence, Stokes, Gauss & Green's theorems etc., I've never got a complete picture of all of these...☹️
Hello Parth, although you did explained Poisson's Equation with correlation, I am still not able to grasp its actual context. it would be helpful if you could elaborate it more.
We always called it the del operator; I had completely forgotten it was called nabla. I never liked nabla, it sounded like some weird foreign word for nibble. "Did you have a nabla today?" "No. I'm going to have a nabla later while watching the hockey game." Plus, I'm lazy, so why use a two-syllable word when I can get away with one. I think I take break now and have a nabla.
A lot of the time in higher math and physics a single integral symbol is used instead of double or triple, and it is understood from context how to actually put the expression in a form to integrate
This single integral sign also has a circle around it in the middle to indicate a closed loop indicative of zero flux, net force, displacement, energy of some conservation principle etc.
@@richardaversa7128 What fields of higher level math use the surface integral notation? I was under the impression it was always a "physics" unique notation just like the dot operator for differentiation above the symbol.
@@theproofessayist8441 I'm not sure exactly what you're asking. If you're asking what fields of math use a single integral symbol when working in multiple dimensions, one example is the generalized stokes' theorem in differential geometry.
Hey, nice explanation. I like your videos --> subscribed! One question at 10:30 ... is it correct you mean the curl of gradient is zero? I learned in electro dynamics the curl of divergence is zero, known as Poincaré-Lemma. One Application is the second Maxwell's eqation, div B = 0, when B is curl A . Thanks for your comment :)
@@bobross5716 you're right. A is called the vector potential and B, the magnetic flux density, is the curl of A. That's what Poincaré means. When you calculate, let's say div(curl( [1 1 1])) it equals to zero
That's a tricky question: "energy is the capacity to do work" or "energy is the potential to affect a change in a system" are descriptive definitions, but exactly what energy "is" is very hard to define in a general sense.
The circle indicates it’s a closed surface integral so you only write limits if you were to actually evaluate it (like saying r from 0 to R, theta from 0 to pi, phi from 0 to 2pi or whatever other coordinate system)
@@kavinmathur6793 If i'm understanding you correctly, no. gaussian surfaces are closed surfaces so you need to consider 3 coordinates (x,y,z, or r,theta,phi or r,phi,z etc) because the surface goes in all directions in 3d space. am i misunderstanding what you mean?
@@kashu7691 I'm asking like when we plot a graph then 4πGM will be in the y axis and the area will be in the x axis, so we take the limits of an integral according to the quantity in x axis so wouldn't we take the integral of area which is in x axis and put the limits there
@@kavinmathur6793 honestly i dont know what you're talking about. plot a graph of what exactly? when we integrate with respect to dA, that's not one variable. it's 2, because there are 2 degrees of freedom. for a sphere, dA = rsintheta *dtheta*dphi in the radial direction, so our integral is over 2 variables, theta and phi.
Hello sir, I am in 12 th sci.. We don't have this theory in our syllabus.. Still I have interest in it.. Sir pls make a video on how to solve EFE(Einstein's field eqn)
@@tanvirfarhan5585 if u study bohr"s model they stay in in orbit because if they want to go down they need to loose energy *hf* and if they want to go up the shells they need energy they need to gain *hf* But coming back to ur question why doesn't electron fall towards the nuetron bcs it can't loose enough energy to fall at the nucleus that's why it orbits around the nucleus according to bohr"s model of atom Thank u!!
@@tanvirfarhan5585 According to quantum mechanics, electrons can sort of go in the nucleus, they can quantum tunnel through it. However they can't stay there due to the Heisenberg uncertainty principle (if they stayed in the nucleus we would know their position/momentum and their energy with a high degree of certainty which is not allowed). The Schrodinger equation predicts the existence of quantum tunneling. For the hydrogen atom, the equation also predicts that electrons will spend most (but not all) of their time at certain distances that correspond to the Bohr radii (radiuses). The Bohr model doesn't explain why there are levels, it just says that they exist and predicts their values. Bohr and other scientists knew that this wasn't a complete explanation and wanted to figure out why these levels in particular were allowed and not others. The Schrodinger equation offers a deeper (but still incomplete) understanding.
Hi @Parth G. I have a doubt not related to the video. Imagine we place a Spherical ball with Mass 'm' on a rectilinear surface. The pressure applied by the ball on the ground is mg/(Area the ball is covering on the ground viz. 0. Since the plane is tangent to the spherical ball) = Infinity. So what is in wrong here? Thank you
Stupid question……….If one were to apply the Law of Causality to any one variable in your equations, which variables would exist without the existence of the others?!
Lots of good information and presented very well, but I feel like it lacks focus and organization. It feels like half an explanation of Poisson's equation and half an explanation of Gauss's Law (of gravity), without really painting a solid picture of either one. Good for terminology and to familiarize students with notation, but I don't think this does much to improve intuition or problem solving skills. Nonetheless, keep up the good work.
Well this doesn't really help people understand the meaning of the equation, you just derive it in a non-rigorous way. I missed a part when you explain the meaning of the equation itself, not just some over simplified math
I was hoping for an example too, at least to make rigorous sense of what partial derivatives do. He approaches sophisticated mathematical concepts with the intent to be able to relay the knowledge intuitively, but just threw jargon at the audience, without showing what it means in practice. But. The meaning of the equation can be extrapolated by watching this video and coming to one’s own conclusions about the functional significance of it. Everybody has their own way of seeing it; at least he doesn’t try to Eric Weinstein these equations and end up making them sound more complicated 😭
Hi everyone, thanks so much for your support! Also, a big thanks to Skillshare for sponsoring this video - check out this link for a free trial of Skillshare Premium Membership: skl.sh/parthg03211
Hey Parth can you please make the next short or video on the topic “whether Einstein was right while disproving the uncertainty principle “
Linking the reference video below
ruclips.net/video/UDZZkUojk6A/видео.html
Isn’t the mathematical language a tool for studying other natural language topologies as well? Just as the astronomers who are studying the innumerable celestial objects, could we not study the words of natural languages to understand their effects on the biological phenomena (such as anger, emotions, motivations, leaderships) and resulting societal behaviors? Could their be forces such as the electromagnetic or weak nuclear, that emerge from neuronal memories? Just wondering!!
Despite the fact that I already know all of this, I keep coming back because I love the way you present it!
Brother you have such a golden ted voice . you sound like ,a guy from the directory guiding me to install the setup .
I’m still waiting for the one on Hamiltonian mechanics!
Same
i love your videos! someone could literally know nothing and never be lost while watching them, even though they never get boring if you know some information already
I had a momentary confusion about notation. I had learned to note the integration over a closed are using a double integral sign with the circle rather than what looks like a line integral sign with the subscript "s" that you use. Thanks for this, clear as usual. I'm reviewing all my college math/physics from 40 years ago for no particular reason.
same do I .50 Year ago
Same here
Thank you Parth. I never studied this equation in my physics minor and its great to see vector calculus's Gauss' Law again. I only saw it in the context of electric/magnetic fields and never in gravitational fields so this is quite lovely fresh new content. Keep spreading the word.
Many thank, Path! I wish my original profs had been as clear - and as patient. One minor thing - when at the end you use the word 'upload', it sounded to my ear almost as 'implode'! Please upload many times, please never implode!
Great music at the end! This is such an under-valued channel!
Truly said bro
thank you!! you are a true teacher for thousands of people here.
I was looking for an explenation for the Poisson Equation in the Heat Equation and i am still stunned by your intutive explenation of Nabla. Thank you so much.
12:00 yes release this music please..
great content as always .. lots of love
If this rule "you are great at the subject you teach good" is true then Parth is one of the best Physicists
Excellent video. Very interesting, informative and worthwhile video. A must see video for all with an interest in the sciences.
I'm subscribing just for this video, I knew nothing about Poisson's equation before watching, and I only have a basic understanding of vector calculus. But I understood every word. Thank you.
You teach this better than my college professor, insane video keep up the good work.
My thought of physics is something different but you just make it so simple ..nd I love this🤝🏻
Always a joy to watch
Very well explained. This channel needs to be subscribed.
sponsors great, you deserve everything and near to 100 K wow ...
Keep making these videos! Never stop!
Man, this is a brilliant lesson. Thanks a million.
Excellent explanation. I wish you were the typical physics professor.
@Hans von Zettour that there are not many physics professors that explain so well all these concepts
Wonderful refresher.
this is gold, thanks man!
Beautifully lovely way of explanation....Really wonderful explanation...
Thank you so much!! Amazing explanation.
Bless u Parth for that dank physics RUclips content
This video was gold
In explaining the curly d’s I wouldn’t say we’re assuming the other variables are constant. But that they are constant! They’re held constant and it’s only the x values that are allowed to change.
Amazing explanation
10:40 Is a good way to think about why the curl 0 intuitively is because if it wasn't then it would take different amounts of energy based on which path you took from a point A to a point B? IE Space not being completely flat everywhere?
Great video! Definitely a difficult subject to try to explain in a few minutes 😅 One constructive critique though is that your notation wasn't consistent exactly, that makes it really difficult for beginners to follow.
Why is Guasses law not using a double integral integral since you are adding up areas?? Is it just notation
The track is fire!
your outro music rocks dude 🤘
Thanks
I kinda get it, but I need examples and exercises to really get it.
Would you recommend a book with all that.
Thanks.
Hi Path! How is everything going?
Hi Eria! Lmao
@@bladebreaker5858 hey assassn!
@Asyam Abyan hey Asyam
@Hans von Zettour Hey Hans!
@@samantonyan4478 hey sm
You should derive the integral form so that students understand how the closed surface integral of g equals to -4pi*GM, which is not a difficult demonstation.
Great job man ,sir can you give the same talk for electric field and explain How Curl of E field not equal to zero
The curl of E is not always zero because electric fields can also arise from time changing magnetic fields (in addition to electrically charged sources).
Great channel!
cool VIDEO!!!!!
This was great, but I wish you had briefly summarized what poisson's equation meant at the end to tie it all back together.
The potential in just the potential energy per charge, gravitational mass as charge in gravity or electric charge in electrostatics
I would love to see a series where you explain all important concepts of vector calculus and the intuition behind them like curl, gradient, divergence, Stokes, Gauss & Green's theorems etc., I've never got a complete picture of all of these...☹️
Hello Parth, although you did explained Poisson's Equation with correlation, I am still not able to grasp its actual context. it would be helpful if you could elaborate it more.
when did you get this much understanding & insight .please share with me?
Love ur videos
Epand the equation double del in the Cartesian coordinate
Please make a video about TENSORS
Please, can you make a video about the analytical solution of 2-d poisson equation. I couldn't find it anywhere.
We always called it the del operator; I had completely forgotten it was called nabla. I never liked nabla, it sounded like some weird foreign word for nibble. "Did you have a nabla today?" "No. I'm going to have a nabla later while watching the hockey game." Plus, I'm lazy, so why use a two-syllable word when I can get away with one. I think I take break now and have a nabla.
Please go into the dense mathematics!
which other quantity is constant while taking the partial derivative of z?
6:15 shouldn't the integral in Gauss's Law be a double integral instead?
A lot of the time in higher math and physics a single integral symbol is used instead of double or triple, and it is understood from context how to actually put the expression in a form to integrate
This single integral sign also has a circle around it in the middle to indicate a closed loop indicative of zero flux, net force, displacement, energy of some conservation principle etc.
@@richardaversa7128 What fields of higher level math use the surface integral notation? I was under the impression it was always a "physics" unique notation just like the dot operator for differentiation above the symbol.
@@theproofessayist8441 I'm not sure exactly what you're asking. If you're asking what fields of math use a single integral symbol when working in multiple dimensions, one example is the generalized stokes' theorem in differential geometry.
@@theproofessayist8441 Multivariable calculus
Thanxs
Yeaaaaa he did it
Brilliant explanation, as always 👍
9:00 have any one wonder, why there's 4π whether it's gravity, electrostatic or magnetostatic?
Answer is.......
Solid angle!
Yes, its easy to think of considering gauss law is about flux
Hey, nice explanation. I like your videos --> subscribed!
One question at 10:30 ... is it correct you mean the curl of gradient is zero? I learned in electro dynamics the curl of divergence is zero, known as Poincaré-Lemma. One Application is the second Maxwell's eqation, div B = 0, when B is curl A . Thanks for your comment :)
Did you mean divergence of the curl? Because you can't take a curl of a divergence since a divergence returns a scalar and the curl needs a vector.
@@bobross5716 you're right. A is called the vector potential and B, the magnetic flux density, is the curl of A. That's what Poincaré means. When you calculate, let's say div(curl( [1 1 1])) it equals to zero
Finally 😄
Please make an explanation of Guitar Harmonics....
The gravitational potential V = Epot/m, right?
so [V]= J/kg when I remember right
That was a pretty short Video. 12 min. goes like🚄
Wanna learn more
waiting for Dirac delta function.
Hey parth can the next video be on Virial theorem
1.4k likes and 0 dislikes... Probably the first time I've ever seen this. 🙂
Sound is inaudible, pl. increase the sound to hear , understand and conceptualise and comment( in as much to appreciate and give our difficulty.).
So ∇²F = ∆F = trace(Hess(F)) ?
please make a video about energy? what is energy for real? thanks
That's a tricky question: "energy is the capacity to do work" or "energy is the potential to affect a change in a system" are descriptive definitions, but exactly what energy "is" is very hard to define in a general sense.
would you make a video on quantum mechanical explaination on refraction reflection and transmission
Shouldn't there be limits in the integral for gauss' law of gravitation?
The circle indicates it’s a closed surface integral so you only write limits if you were to actually evaluate it (like saying r from 0 to R, theta from 0 to pi, phi from 0 to 2pi or whatever other coordinate system)
@@kashu7691 wouldn't the limits be of the area which is on the x axis?
@@kavinmathur6793 If i'm understanding you correctly, no. gaussian surfaces are closed surfaces so you need to consider 3 coordinates (x,y,z, or r,theta,phi or r,phi,z etc) because the surface goes in all directions in 3d space. am i misunderstanding what you mean?
@@kashu7691 I'm asking like when we plot a graph then 4πGM will be in the y axis and the area will be in the x axis, so we take the limits of an integral according to the quantity in x axis so wouldn't we take the integral of area which is in x axis and put the limits there
@@kavinmathur6793 honestly i dont know what you're talking about. plot a graph of what exactly? when we integrate with respect to dA, that's not one variable. it's 2, because there are 2 degrees of freedom. for a sphere, dA = rsintheta *dtheta*dphi in the radial direction, so our integral is over 2 variables, theta and phi.
Amazing explanation. None the wiser though
What is the difference between grad and del? They both are represented by the same symbol
They are different names for the same operator.
phi = V ?
This guys makes physics look like a cake walk.
Hello sir,
I am in 12 th sci.. We don't have this theory in our syllabus.. Still I have interest in it..
Sir pls make a video on how to solve EFE(Einstein's field eqn)
best video bro
but pls explain the most wanted problem = 1) why electrons doesn't fall into nucleus
pls....................:(
Electrons stay in certain orbits as bohrs model
@@tajwartahmid4031 but why
@@tanvirfarhan5585 if u study bohr"s model they stay in in orbit because if they want to go down they need to loose energy *hf* and if they want to go up the shells they need energy they need to gain *hf*
But coming back to ur question why doesn't electron fall towards the nuetron bcs it can't loose enough energy to fall at the nucleus that's why it orbits around the nucleus according to bohr"s model of atom
Thank u!!
@@tanvirfarhan5585 According to quantum mechanics, electrons can sort of go in the nucleus, they can quantum tunnel through it. However they can't stay there due to the Heisenberg uncertainty principle (if they stayed in the nucleus we would know their position/momentum and their energy with a high degree of certainty which is not allowed). The Schrodinger equation predicts the existence of quantum tunneling. For the hydrogen atom, the equation also predicts that electrons will spend most (but not all) of their time at certain distances that correspond to the Bohr radii (radiuses).
The Bohr model doesn't explain why there are levels, it just says that they exist and predicts their values. Bohr and other scientists knew that this wasn't a complete explanation and wanted to figure out why these levels in particular were allowed and not others. The Schrodinger equation offers a deeper (but still incomplete) understanding.
@@ll-oh2gz thank u very much I appreciate your effort
yes realise the track
I enjoyed the video but reduce you speed a little
4th Maxwell equation please.
Btw love your videos👍
Amazing video. Can we get a vlog next pls?
Saya mah suka Fisika walaupun bg teknik
Noiceee
Could you do a video about electromagnetic waves ?
Hi @Parth G. I have a doubt not related to the video. Imagine we place a Spherical ball with Mass 'm' on a rectilinear surface. The pressure applied by the ball on the ground is mg/(Area the ball is covering on the ground viz. 0. Since the plane is tangent to the spherical ball) = Infinity. So what is in wrong here?
Thank you
Any chance you could cover solutions to projectile motion and quadratic drag (-kv^2)?
Rashmi samant going through racism and hindufobia in Oxford,
What is your stand on it.
👍👍
👍
What do you mean, it's not pronounced like poison?
@Turnips
I know, I just like being silly, like pronouncing Euler-Mascheroni as oily-macaroni.
@Turnips
No worries, mate. I was expecting that.
i like pineapple hairstyle
Stupid question……….If one were to apply the Law of Causality to any one variable in your equations, which variables would exist without the existence of the others?!
Even after watching this video, I did not understand
What's your age
Hey, I'm 14.
Hey,I'm 16
Hey, I'm 73.
Lots of good information and presented very well, but I feel like it lacks focus and organization. It feels like half an explanation of Poisson's equation and half an explanation of Gauss's Law (of gravity), without really painting a solid picture of either one. Good for terminology and to familiarize students with notation, but I don't think this does much to improve intuition or problem solving skills. Nonetheless, keep up the good work.
Who tf disliked this....
Well this doesn't really help people understand the meaning of the equation, you just derive it in a non-rigorous way. I missed a part when you explain the meaning of the equation itself, not just some over simplified math
I was hoping for an example too, at least to make rigorous sense of what partial derivatives do. He approaches sophisticated mathematical concepts with the intent to be able to relay the knowledge intuitively, but just threw jargon at the audience, without showing what it means in practice.
But. The meaning of the equation can be extrapolated by watching this video and coming to one’s own conclusions about the functional significance of it. Everybody has their own way of seeing it; at least he doesn’t try to Eric Weinstein these equations and end up making them sound more complicated 😭
This is stupid. You didn't explain anything. Every time a scary formula comes up, you say "it doesn't matter what it is" or "topic for another time".