Honestly, this thorough conceptual videos that makes you "derive" everything from very fist principles are absolutely great, since books (even teachers) dont even say anything about it. You know, they often just tell you "yes, greeks knew about this, and here are the equations", which doesnt make you rigorously understand anything at all. At the end, you have to spend a lot of time, which can be done much more productive with videos like this. Please, do more videos like this on other topics!
Brilliant - thank you for sharing your gifts of insight and clarity with us. How I wish you had been my uni lecturer when I was trying to understand Hamiltonian and Lagrangian operators.
Thanks for making this eye-opening video. To me, this video is the most comprehensive video anyone has ever made about Coulomb's Law. After watching this video I feel like I could have discovered this law; that's how intuitive yet rigorously true the video is. Thanks again, you will always be praised by those who want to actually understand electromagnetism.
Coloumb invented the torsional balance to find the expression fkr electrostetic force using the method described in the video. In fact the same torsional balance was used later by Cavendish to verify Newton's Law of gravitation.
i wish they would have taught like this in high school. Always wondering where these constants come from. Trying to remember and plugging numbers for an exam is onething, but trying to understand is another. Very well done enjoyed it will be waiting for more 🎉🎉🎉
This is the most interesting video about electricity that I have ever seen in my entire life. And personally I wish, this was the way that these subjects were taught to us. This would make the entire generation a geniuses.
If you are interested in deeper relation between Coulomb's and Newton's formulas, check first 3 pages of "Classical Physics Beyond Einstein’s" showing F/D² dependency of any force on time dilation factor D. Then check chapter "66. VACUUM PROPERTIES AND TIME SPEED: Permittivity, Permeability, and Time Dilation" in "Time Matters, 10th edition", which shows Permittivity ~ D².
The mobile charges in conducting spheres produce polarization effects that greatly complicate the calculations and lead to some surprising results. As is pointed out in this video, the charges distribute to produce zero field internally in conductors. John Lekner, in his paper, "Electrostatics of two charged conducting spheres", says, "We prove that two charged conducting spheres will almost always attract each other at close approach, even when they have like charges." (Wow!) Some other interesting papers are "Precise Calculation of the Electrostatic Force Between Charged Spheres Including Induction Effects", by Jack A. Soules; "Electrostatic Force Between Two Conducting Equal-Sized Charged Spheres", by Banergee, Levy, Davis, and Wilkerson; and "Theoretical Assessment of the Disparity in the Electrostatic Forces Between Two Point Charges and Two Conductive Spheres of Equal Radii", By Kiril Kolikov. Soules says, "Coulomb was so eager to prove the 1/d-squared law that he overlooked the experimental observation of polarization."
Ok, you've got me) Such an excellent job! As much as your previous video about discovering of nature of electromagnetism. I guess, the way of thinking about definition of an Ampere is a limit. The more long and thin wires you're using - the more precise value of unit you're getting, as it tends to its limit with lenght tending to an infinetly large number and thickness tending to an infinetly small number. Am I right?
Instead of resizing the ball some can just change between a massive ball and a hollow ball. And just by thinking some can conclude that charged particles will allways distribute only on the surface because every charged particle will move the farest away from each other. Why? Because the force to each particle on a ball follows the same rule as the force between two charged balls.
@@lukasrafajpps so are we saying the charge is the same in this case regardless of how large/small the diameter is and wether like or opposite polarity is ? (assuming they don’t touch)
@@philoso377 Well if you have a ball of a large radius that is charged, then the electic field around it (outside of the ball's volume) is the same as if we had a point charge with the same amount of charge inside which means that if we have a ball of radius let's say 10 meters then electric field intensity 11 meters from the center will be the same as if we had a point charge and measured electric field intensity 11m away from the point. This is of course the case for isolated objects though. In reality what you measure is not electric intensity but the force acting on another charged particle but then there is a polarization issue because the moment you place another charge next to the charged ball it will attract (or repel)the charges inside the big ball and it will change the charge distribution inside the big ball resulting in stronger force (in case of attraction) and smaller force (in case of repulsion) This is obvious from the fact that the additional charge (if it was opposite) would attract all the charges inside the big ball to one spot closest to the outside charge making the effective distance between them smaller if that makes sense. So in a nutshell, the theory is such that the electric intensity of a ball outside of the ball does not depend on the ball's radius but in practical scenario when you measure the force between 2 charged balls it will play a role due to these effects
@@lukasrafajpps thanks to extended exploration. Well received. Are we saying that the total charge and hence the differential force matters regardless of minor or grater change in sphere radius will be? In case1 of equal and opposite polarity charge and center to center 2d = 2r + 2s where 2s is the gap size
Dear Lukas Rafaj, I hope this massage finds you well. My name is Orni, and I'm incredibly excited about the potential of the BL4S competition.It's a competition about to create a special experiment that can be done using a powerful particle accelerator. We're a team from Bangladesh eager to delve into a groundbreaking research project. We're particularly interested in exploring Particle Physics . We believe your expertise in Parties & Detectors & accelerator could be the key to unlocking innovative solutions. Could you share your thoughts on potential research topics that align with the competition's goals? Your guidance would be invaluable as we strive to make a significant contribution to the field. Thank you for your time and consideration. We look forward to hearing from you! Best regards, From Bangladesh
Very nice video, but there's one mistake - 1 A of current is the amount that produces 1 N of force between two wires that are 1 m apart if the wires are 1 m long, not infinitely long. (Infinite wires would exert an infinite force.)
Hi maybe it wasn't clear in the video but I said 2*10^-7N per meter of length of the wire so each meter contributes this amount but I agree I could make that part more clear. Anyway, not 1N but 2*10^-7N
Two wires carrying currents in the same direction should attract each other, not repel each other, as shown. This is the 'pinch effect'.
Thank you for correction my bad I will pin this comment
Thanks!
Honestly, this thorough conceptual videos that makes you "derive" everything from very fist principles are absolutely great, since books (even teachers) dont even say anything about it. You know, they often just tell you "yes, greeks knew about this, and here are the equations", which doesnt make you rigorously understand anything at all. At the end, you have to spend a lot of time, which can be done much more productive with videos like this. Please, do more videos like this on other topics!
Brilliant - thank you for sharing your gifts of insight and clarity with us. How I wish you had been my uni lecturer when I was trying to understand Hamiltonian and Lagrangian operators.
Thanks for making this eye-opening video. To me, this video is the most comprehensive video anyone has ever made about Coulomb's Law. After watching this video I feel like I could have discovered this law; that's how intuitive yet rigorously true the video is. Thanks again, you will always be praised by those who want to actually understand electromagnetism.
thank you for the kind words!
@@lukasrafajpps these are not 'kind' words; these are the words that you deserve!
Coloumb invented the torsional balance to find the expression fkr electrostetic force using the method described in the video. In fact the same torsional balance was used later by Cavendish to verify Newton's Law of gravitation.
I was wondering like this kind of approach to phy and you have done it marvellously... appreciated man!!
this is how every new concept/equation should be taught
Usually equations are just written on the board with little motivation
Wish you were my instructor in high school.
Very nicely done. thank you for this video. Looks like a lot of work
thank you it was :D
Just amazing! Agree with other comments: wish it was taught like this in high schools!
Subscribed!
i wish they would have taught like this in high school. Always wondering where these constants come from. Trying to remember and plugging numbers for an exam is onething, but trying to understand is another. Very well done enjoyed it will be waiting for more 🎉🎉🎉
Great video! Thank you.
Really great video idea!
This is the most interesting video about electricity that I have ever seen in my entire life.
And personally I wish, this was the way that these subjects were taught to us. This would make the entire generation a geniuses.
If you are interested in deeper relation between Coulomb's and Newton's formulas, check first 3 pages of "Classical Physics Beyond Einstein’s" showing F/D² dependency of any force on time dilation factor D. Then check chapter "66. VACUUM PROPERTIES AND TIME SPEED: Permittivity, Permeability, and Time Dilation" in "Time Matters, 10th edition", which shows Permittivity ~ D².
The mobile charges in conducting spheres produce polarization effects that greatly complicate the calculations and lead to some surprising results. As is pointed out in this video, the charges distribute to produce zero field internally in conductors. John Lekner, in his paper, "Electrostatics of two charged conducting spheres", says, "We prove that two charged conducting spheres will almost always attract each other at close approach, even when they have like charges." (Wow!) Some other interesting papers are "Precise Calculation of the Electrostatic Force Between Charged Spheres Including Induction Effects", by Jack A. Soules; "Electrostatic Force Between Two Conducting Equal-Sized Charged Spheres", by Banergee, Levy, Davis, and Wilkerson; and "Theoretical Assessment of the Disparity in the Electrostatic Forces Between Two Point Charges and Two Conductive Spheres of Equal Radii", By Kiril Kolikov. Soules says, "Coulomb was so eager to prove the 1/d-squared law that he overlooked the experimental observation of polarization."
3:40 Shouldn't the arrows of the direction of the applied force be pointing in the opposite direction? Because both bodies have the same charge.
what makes you think they are the same?
Ok, you've got me) Such an excellent job! As much as your previous video about discovering of nature of electromagnetism.
I guess, the way of thinking about definition of an Ampere is a limit. The more long and thin wires you're using - the more precise value of unit you're getting, as it tends to its limit with lenght tending to an infinetly large number and thickness tending to an infinetly small number. Am I right?
Hi! yes you are right!
On another Earth unit of charge can also be defined as amount of specific substance (metal?) deposited on electrode during electrolysis.
Now do like that for every equations in physic!
Great video
Page 4:30 charge go by surface area and not by volume. A water tank do go by volume.
I explain it later in the video
2:11 "this is just guessing" - so please explain - what is the proper method by which science works?
I was already here when you all have been also been here.
11:45 1A = 1C / 1s
Oh my bad! However I try I always miss some mistakes
Could you do experiments on this?
Actually good video
Instead of resizing the ball some can just change between a massive ball and a hollow ball. And just by thinking some can conclude that charged particles will allways distribute only on the surface because every charged particle will move the farest away from each other.
Why? Because the force to each particle on a ball follows the same rule as the force between two charged balls.
OK first thing first. Distance between sphere surface or sphere center? Why?
That would be better to talk about with regards to Gauss's law but if you are outside of a charged ball you can think of it as a point charge.
@@lukasrafajpps so are we saying the charge is the same in this case regardless of how large/small the diameter is and wether like or opposite polarity is ? (assuming they don’t touch)
By reinventing or rediscovering we have a chance to eliminate some or all of our uneducated assumptions. Thanks to making this video.
@@philoso377 Well if you have a ball of a large radius that is charged, then the electic field around it (outside of the ball's volume) is the same as if we had a point charge with the same amount of charge inside which means that if we have a ball of radius let's say 10 meters then electric field intensity 11 meters from the center will be the same as if we had a point charge and measured electric field intensity 11m away from the point. This is of course the case for isolated objects though. In reality what you measure is not electric intensity but the force acting on another charged particle but then there is a polarization issue because the moment you place another charge next to the charged ball it will attract (or repel)the charges inside the big ball and it will change the charge distribution inside the big ball resulting in stronger force (in case of attraction) and smaller force (in case of repulsion)
This is obvious from the fact that the additional charge (if it was opposite) would attract all the charges inside the big ball to one spot closest to the outside charge making the effective distance between them smaller if that makes sense.
So in a nutshell, the theory is such that the electric intensity of a ball outside of the ball does not depend on the ball's radius but in practical scenario when you measure the force between 2 charged balls it will play a role due to these effects
@@lukasrafajpps thanks to extended exploration. Well received. Are we saying that the total charge and hence the differential force matters regardless of minor or grater change in sphere radius will be?
In case1 of equal and opposite polarity charge and center to center 2d = 2r + 2s where 2s is the gap size
Make more videos like this on electromagnetism.
I have a hard physics question for u.
Why weren't you my physics teacher back in high school 😭
First he discovered America and then this!
😊
Dear Lukas Rafaj,
I hope this massage finds you well.
My name is Orni, and I'm incredibly excited about the potential of the BL4S competition.It's a competition about to create a special experiment that can be done using a powerful particle accelerator. We're a team from Bangladesh eager to delve into a groundbreaking research project.
We're particularly interested in exploring Particle Physics . We believe your expertise in Parties & Detectors & accelerator could be the key to unlocking innovative solutions.
Could you share your thoughts on potential research topics that align with the competition's goals? Your guidance would be invaluable as we strive to make a significant contribution to the field.
Thank you for your time and consideration. We look forward to hearing from you!
Best regards,
From Bangladesh
1:03 "inverse square law" - as far as i know - 1/r^2 comes from the aether - fluid assumption.
Comes from geometry.
@ geometry 📐 is not mechanical ⚙️. physics must be [quantum] mechanical ⚙️.
@@mrslave41 Sounds great but you are still wrong about the inverse square law.
Very nice video, but there's one mistake - 1 A of current is the amount that produces 1 N of force between two wires that are 1 m apart if the wires are 1 m long, not infinitely long. (Infinite wires would exert an infinite force.)
Hi maybe it wasn't clear in the video but I said 2*10^-7N per meter of length of the wire so each meter contributes this amount but I agree I could make that part more clear. Anyway, not 1N but 2*10^-7N
🤍
Please see if my harmonic oscillator violates Columb law not Columbus
First
2nd
Tutla hai kya tu
@@proyt4838 mf show some respect to our mentor or f* off
@@proyt4838 m'f' show some respect to our mentor or get the f'"k" outta here