Reminds of an old interview with Terence Tao, where he mentions his ideas come mostly from connecting widely separately areas of mathematics. He described himself as having broad knowledge. He contrasted it with Perelman, who has extremely deep knowledge of one area.
I taught AC physics at the University of Alaska for several years and introduced the concepts in the exact same way, using videos of springs. Later, when we got to the effect of resonance in the electric circuit you could watch the student's heads explode.
the thumb nail for this video is not a sine wave, but rather it is hyperbolic cosine cure. I love the video by the way, i’ve been teaching myself about electric circuits and this is a really intuitive way to learn about RLC circuits
I’m curious how the equations would change if you took into consideration the heat generated by the components. The system would lose some energy that way and would require a negative term added somewhere.
Very well done! Thanks. If you are planning to make a video on inductance and capacitance, it would be nice, if you could also explain complex impedances in this context. These have always been a bit mysterious to me.
You could also take a look at a SOGI (second order generalized integrator) - this is a numerical structure that also shares the same equations. The SOGI is useful as it provides a numerical oscillator.
Hey Parth you are a genius.Very well explained the topic in a lucid style. Making the concepts easy n interesting.A lot to learn from you . Expecting more such videos from you.God bless.Expecting your guest lecture for my students.
Nice video and explanation Parth! I'm looking forward to seeing more videos on related topics! As a suggestion and example, there is the Laplace equation, that can be applied for steady state thermal conduction, for potential flow, for electromagnetism and for several other situations. In any case, well done, man! Your video is great!
resonance along an inductance resist the increase in voltage and resonance along the capacitance resist the increase in current acting as breaking point.
I use these analogy circuits in my work to describe acoustic, mechanical, and magnetic setups via electrical circuits. The analogies do break down under certain conditions but are great in general. See my work by searching Acculution blog.
In the first equation x, which is a function of time x(t), represents the location of the mass attached to the string. What does q(t) represents in the second equation? The charge at what point in the circuit? (Also, this is a great video!)
It would be very difficult for me to figure out a way to apply the sinusoidal force correctly directly to the moving block. I would use the F=kx property of the spring, and apply sinusoidal displacement to the fixed mounting point of the spring.
Throughout the comment, Newton’s notation is used for derivatives with respect to time. There’s one more quantity, voltage from magnetic flux: v = Mq̇ from: v = φ̇ φ = Mq So the full equation is: Lq̈ + (R + M)q̇ + q/C = V₀cos(2πfₑt)
Is momentum intermediate state, Kentic & potential energy. KE is vector when PE is scalar. Momentum works with envoirment ( fluid/ field) in which system with PE persist to get direction and convert to KE. The whirlpool in bath tub the envoirment is gravitationa field or space time continium. It is the physics of field/ envoirment determine direction of KE. All of my hypothesis here are wrong or some are right. Assuming electron posses PE/ fermions and photon KE/ boson. Momentum / Hardon
It is the "force" -- or more accurately, the "momentum", and more accurately still, the fluid-vortexual (overall-point-radial) 'acceleration-flow' ("acceleration" being 'self-relative motion') of the SUM* that "goes on forever". As long as these "particulate" horn toroidal vortices don't come into close enough proximity to each other to interact with each others' flow in such a way as to lose (redirect) some of their otherwise 'self-siphoning' (by the "length contraction"/"time dilation" effect) "momentum" as "turbulence" (a.k.a. inter-particle "friction"), that "packet" of vortexual "pure motion" will be "conserved" and "self-sustaining"... and furthermore, exhibit a ["relativistic"] "resistance" to such redirections of their 'point-radial momentum' that we have named "[inertial ]mass". *The scale-uniform 'hyper-fluid' medium we mistake (misconceive / miscategorize) as "empty space".
can be solved with the finite difference method and boundary conditions. I went a head and did it. Irony is I had to first find the analytical solution to get my two boundary conditions ¯\(ツ)/¯ then applied the finite difference method. Curious if anyone knows a clever way to get boundary conditions w/o the analytical sol...
You are genius and hope you would do something great for people thanks and I would like to work with you if you give me chance we both can do something marvellous if you are slightly interested I m ready to do something extraordinary 🙏🙏🙏🙏🙏
In my home page the title for this video looked like "The Mathematical Bridge That Links Two Completely Different..." and I was so excited thinking that he was gonna talk about the langlands program lmao but sadly it was just a simple ODE
Can you do a video on the analogous behavior between the Principal of least action from Classical Mechanics and the Principal of least time from Optics?
Noob question here. Is it possible a quantum particle that is fluctuating in a higher energy level to create a "harmonic distortion" like an RF wave to a lower energy level?
That's the way u can explain inductance , resistance, capacitance to a high school student already acquainted with mechanics. As the mass of the body is responsible for initiation of its motion under some force, similarly the inductance is also responsible for checking the variation in current and thus controlling it. Beta is a factor responsible for friction in mechanical systems like wise resistance also acts as friction in electrical systems. But how can we explain the stiffness in electrical circuit system through inverse of capacitance??
PARTH, all electrical circuits (consisting or resistors, inductors, capacitors and are analogous to all mechanical circuits (consisting of springs, dampers etc.) and these circuits are analogous to all chemical circuits (consisting of acids, bases etc.). They are the super symmetry, yet physicists look for them in all possible places.
Make a video on making holographic wormhole in google's quantum computer and Does it really has any significant significance in future of humanity and achieving worp drive or travelling faster than light using such concepts
Fun fact, the top equation is gained by upping simple harmonic oscillations to a dapmed one and once more to a driven. The general solution - which makes physical sense - is gained by making use of complex analysis and methods to solve differential equations, and is of the following shape: x(t)=(x_0)*exp(-bt)*cos(wt+p)+[(F_0 /m)*(sqrt(((w_0)^2 - w^2)^2 + (2bw)^2))]*cos(wt+p_0 - arctan(2bw/((w_0)^2 -w^2))) ...yes, I really just spent hours going through the calculations...
very in depth and comprehensive. As an engineer student who for some reason had to study all the technical mechanics and electric field basics, I would add that the similarity between formulars of gravity force and electrostatic force is another mathematical "bridge" worth mentioning, beside the similar ODE, albeit one may say one is a (indirect) result of the other, or at least their derivations employ somewhat similar approach.
Had an argument with an American amatuer horologist of some note, he was insistent that nothing in electrical theory had any application to physical oscillators in particular pendulums.
You could add as a conclusion that the electrical system might be used to simulate the mechanical system, which is how analog computers worked! The cool thing is that you could get the analog computer to plot the results on a pen chart, and save a lot of laborious calculation. This was especially useful in the days before digital computers were invented.
I've noticed some really fascinating relationships involving the dimensions of electromagnetic properties. If you let force be a dimensionless unit, by equating the units of mass and inverse acceleration, capacitance has dimensions of charge²/distance, and inductance has dimensions of distance/current²!
But isn't electricity waves of electromagnetic field moving though wires? Thats what Derek from Veritassium said. He said electrons are moving randomly influenced by electromagnetic field, creating resistance, so what oscillates is the electromagnetic field, not the electrons moving. Actually the electrons are causing resistance and heat in the wires
Well if you ignore quantum effects, you can say that electrons "flow" through the wire at some velocity v. Now if you apply a voltage across the wire you will have an electric field affecting all of those electrons, and statistically electrons, although moving seemingly randomly, will tend to drift to the lower potential. If you're interested look up electron drift velocity. Now if you take a physically small portion of volume, you can define it's charge density and drift velocity, and by multiplying them you will get the current density. The flux of that current density through a surface is the current. Now what Derek said is that the energy is propagated through the electromagnetic field, which is true, but the electrons "flowing" through the wire are the source of that electromagnetic field.
Reminds of an old interview with Terence Tao, where he mentions his ideas come mostly from connecting widely separately areas of mathematics. He described himself as having broad knowledge. He contrasted it with Perelman, who has extremely deep knowledge of one area.
Jack of all, mustard of none.
Somebody call a Bondulance.
Great video, Parth! You have a knack for bringing out the deeper meaning of equations.
Thank you as always Terry!
@@ParthGChannel 💥💥💥💥💥💥💥can u make a video on 5 level of understanding momentum and inertia 💥💥💥💥💥✨✨✨
I taught AC physics at the University of Alaska for several years and introduced the concepts in the exact same way, using videos of springs. Later, when we got to the effect of resonance in the electric circuit you could watch the student's heads explode.
I used this as an example for solving a second order differential equation
@@Negs42 me too with applied dynamic loadings by either method of undetermined coeff or variation of parameters
the thumb nail for this video is not a sine wave, but rather it is hyperbolic cosine cure.
I love the video by the way, i’ve been teaching myself about electric circuits and this is a really intuitive way to learn about RLC circuits
im sorta electrical engineer and i never really thought too much about this. good explanation. this is how analog computers work.
I’m curious how the equations would change if you took into consideration the heat generated by the components. The system would lose some energy that way and would require a negative term added somewhere.
Hey Parth .! Love your videos ..!! I wanted to know how you do these animations (or editing) that help so easily in imagining given concepts ??
great video, so simply explained.
Could you please , in future, make a video on bohmian mechanics
Very well done! Thanks. If you are planning to make a video on inductance and capacitance, it would be nice, if you could also explain complex impedances in this context. These have always been a bit mysterious to me.
You could also take a look at a SOGI (second order generalized integrator) - this is a numerical structure that also shares the same equations. The SOGI is useful as it provides a numerical oscillator.
This is how physics should be taught to students. Love the video. So , Clear the explanation is.!!!!
Hey Parth you are a genius.Very well explained the topic in a lucid style. Making the concepts easy n interesting.A lot to learn from you . Expecting more such videos from you.God bless.Expecting your guest lecture for my students.
Takes me back to my structural dynamics course. Such elegant mathematics!
Nice video and explanation Parth! I'm looking forward to seeing more videos on related topics! As a suggestion and example, there is the Laplace equation, that can be applied for steady state thermal conduction, for potential flow, for electromagnetism and for several other situations. In any case, well done, man! Your video is great!
resonance along an inductance resist the increase in voltage and resonance along the capacitance resist the increase in current acting as breaking point.
Waiting for the capacitance and inductance videos :)
Top notch content !
Wow that's really cool. Is there another example of an oscillating system that could be described with that form of equation?
I use these analogy circuits in my work to describe acoustic, mechanical, and magnetic setups via electrical circuits. The analogies do break down under certain conditions but are great in general. See my work by searching Acculution blog.
I think it's a very important video, this is the way students need to perceive physics.
In the first equation x, which is a function of time x(t), represents the location of the mass attached to the string. What does q(t) represents in the second equation? The charge at what point in the circuit?
(Also, this is a great video!)
What is the first equation and relation to the spring known as? Is there a name to it?
It would be very difficult for me to figure out a way to apply the sinusoidal force correctly directly to the moving block. I would use the F=kx property of the spring, and apply sinusoidal displacement to the fixed mounting point of the spring.
Throughout the comment, Newton’s notation is used for derivatives with respect to time. There’s one more quantity, voltage from magnetic flux:
v = Mq̇
from:
v = φ̇
φ = Mq
So the full equation is:
Lq̈ + (R + M)q̇ + q/C = V₀cos(2πfₑt)
Is momentum intermediate state, Kentic & potential energy. KE is vector when PE is scalar. Momentum works with envoirment ( fluid/ field) in which system with PE persist to get direction and convert to KE. The whirlpool in bath tub the envoirment is gravitationa field or space time continium. It is the physics of field/ envoirment determine direction of KE. All of my hypothesis here are wrong or some are right. Assuming electron posses PE/ fermions and photon KE/ boson. Momentum / Hardon
Thank you very much for the video.
you have such a pleasant voice...
💥💥💥💥💥💥Can u make a video on 5 level of understanding "momentum".. 💥💥💥💥💥💥💥
Digging the outro music.
Thank you very much!
It is the "force" -- or more accurately, the "momentum", and more accurately still, the fluid-vortexual (overall-point-radial) 'acceleration-flow' ("acceleration" being 'self-relative motion') of the SUM* that "goes on forever". As long as these "particulate" horn toroidal vortices don't come into close enough proximity to each other to interact with each others' flow in such a way as to lose (redirect) some of their otherwise 'self-siphoning' (by the "length contraction"/"time dilation" effect) "momentum" as "turbulence" (a.k.a. inter-particle "friction"), that "packet" of vortexual "pure motion" will be "conserved" and "self-sustaining"... and furthermore, exhibit a ["relativistic"] "resistance" to such redirections of their 'point-radial momentum' that we have named "[inertial ]mass".
*The scale-uniform 'hyper-fluid' medium we mistake (misconceive / miscategorize) as "empty space".
I thought inductance was the result of resistance?
P=IR is just the electron version of F=MA...
Cool!
That thumbnail ❤️❤️❤️
can be solved with the finite difference method and boundary conditions. I went a head and did it. Irony is I had to first find the analytical solution to get my two boundary conditions ¯\(ツ)/¯ then applied the finite difference method. Curious if anyone knows a clever way to get boundary conditions w/o the analytical sol...
You are genius and hope you would do something great for people thanks and I would like to work with you if you give me chance we both can do something marvellous if you are slightly interested I m ready to do something extraordinary 🙏🙏🙏🙏🙏
Nooooo - you can't let the magenta-charges just move across the capacitor!
Nice video otherwise.
🙂👍
Electrons movement... c'mon it's about fields.
FIRST COMMENT
Beautiful explanation! More such videos, please! At 72 I am finally learning physics! 😃
In my home page the title for this video looked like "The Mathematical Bridge That Links Two Completely Different..." and I was so excited thinking that he was gonna talk about the langlands program lmao but sadly it was just a simple ODE
Can you do a video on the analogous behavior between the Principal of least action from Classical Mechanics and the Principal of least time from Optics?
REALLY LOVE YOUR VIDEOS, FOLLOWING U SINCE 4 YEARS. ABSOLUTELY SIMPLE AND ELEGANT EXPLAINATIONS.
Noob question here. Is it possible a quantum particle that is fluctuating in a higher energy level to create a "harmonic distortion" like an RF wave to a lower energy level?
That concept already exists
It's called the quantum harmonic oscillator and that's where we get the concepts of raising and lowering operators
Hey how do you edit your videos?
That's the way u can explain inductance , resistance, capacitance to a high school student already acquainted with mechanics. As the mass of the body is responsible for initiation of its motion under some force, similarly the inductance is also responsible for checking the variation in current and thus controlling it.
Beta is a factor responsible for friction in mechanical systems like wise resistance also acts as friction in electrical systems.
But how can we explain the stiffness in electrical circuit system through inverse of capacitance??
PARTH, all electrical circuits (consisting or resistors, inductors, capacitors and are analogous to all mechanical circuits (consisting of springs, dampers etc.) and these circuits are analogous to all chemical circuits (consisting of acids, bases etc.). They are the super symmetry, yet physicists look for them in all possible places.
Make a video on making holographic wormhole in google's quantum computer and
Does it really has any significant significance in future of humanity and achieving worp drive or travelling faster than light using such concepts
Hey parth,would you please make a video on vector transformation
Please also make make videos on bending moment and share forces and their models
Are you going to show multiple ways of solving these ODE?
great video, indeed, very cool :)
Perfect description
fantastic
Way cool dude.
Well explained
Fun fact, the top equation is gained by upping simple harmonic oscillations to a dapmed one and once more to a driven. The general solution - which makes physical sense - is gained by making use of complex analysis and methods to solve differential equations, and is of the following shape: x(t)=(x_0)*exp(-bt)*cos(wt+p)+[(F_0 /m)*(sqrt(((w_0)^2 - w^2)^2 + (2bw)^2))]*cos(wt+p_0 - arctan(2bw/((w_0)^2 -w^2))) ...yes, I really just spent hours going through the calculations...
very in depth and comprehensive. As an engineer student who for some reason had to study all the technical mechanics and electric field basics, I would add that the similarity between formulars of gravity force and electrostatic force is another mathematical "bridge" worth mentioning, beside the similar ODE, albeit one may say one is a (indirect) result of the other, or at least their derivations employ somewhat similar approach.
Had an argument with an American amatuer horologist of some note, he was insistent that nothing in electrical theory had any application to physical oscillators in particular pendulums.
You could add as a conclusion that the electrical system might be used to simulate the mechanical system, which is how analog computers worked! The cool thing is that you could get the analog computer to plot the results on a pen chart, and save a lot of laborious calculation. This was especially useful in the days before digital computers were invented.
I've noticed some really fascinating relationships involving the dimensions of electromagnetic properties. If you let force be a dimensionless unit, by equating the units of mass and inverse acceleration, capacitance has dimensions of charge²/distance, and inductance has dimensions of distance/current²!
So good! Please more about this, inductors and capacitance.
It is better to fill the whole screen with the slides, we dont need to see your face.
Now do the "Full Bridge Rectifier"!!!!!
The first comment 🙂
But isn't electricity waves of electromagnetic field moving though wires? Thats what Derek from Veritassium said. He said electrons are moving randomly influenced by electromagnetic field, creating resistance, so what oscillates is the electromagnetic field, not the electrons moving. Actually the electrons are causing resistance and heat in the wires
Well if you ignore quantum effects, you can say that electrons "flow" through the wire at some velocity v. Now if you apply a voltage across the wire you will have an electric field affecting all of those electrons, and statistically electrons, although moving seemingly randomly, will tend to drift to the lower potential. If you're interested look up electron drift velocity. Now if you take a physically small portion of volume, you can define it's charge density and drift velocity, and by multiplying them you will get the current density. The flux of that current density through a surface is the current. Now what Derek said is that the energy is propagated through the electromagnetic field, which is true, but the electrons "flowing" through the wire are the source of that electromagnetic field.
Hi Parth!
❤️❤️❤️