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.
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.
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.
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."
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.
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.
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 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!
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!
Wish you were my instructor in high school.
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.
I was wondering like this kind of approach to phy and you have done it marvellously... appreciated man!!
Very nicely done. thank you for this video. Looks like a lot of work
thank you it was :D
this is how every new concept/equation should be taught
Usually equations are just written on the board with little motivation
Great video! Thank you.
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.
Great video
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."
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.
Thanks!
On another Earth unit of charge can also be defined as amount of specific substance (metal?) deposited on electrode during electrolysis.
Actually good video
I was already here when you all have been also been here.
2:11 "this is just guessing" - so please explain - what is the proper method by which science works?
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.
Could you do experiments on this?
I have a hard physics question for u.
Why weren't you my physics teacher back in high school 😭
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
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.
Make more videos like this on electromagnetism.
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.
11:45 1A = 1C / 1s
Oh my bad! However I try I always miss some mistakes
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
Tutla hai kya tu
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