Unfortunately I think this explaination can be misleading and based on a somewhat false assumption that a point charge exacly has to follow a certain single fieldline, as the animation 0:24 - 0:45 suggests. The animation is misleading for understanding motion and Newtonian mechanics in physics and does not represent the real trajectory of a point charge placed in a non homogenous electric field. In reality, the charge would leave the first field line to upper parts of the field. above the first line as the line curves to the right. This is because an object with mass has inertia, and the resulting motion depends on _both_ the acceleration and velocity for the particle in every instant and point. Force (and acceleration) doesn't have to have the same direction is what Newtonian mechanics teach us. As an example: In planetary motion the resulting force is always towards the sun, but the velocity and hence the trajectory of the planet, fortunately for us all, isn't. Field lines don't cross because of defenition of a field line (and a vector field): the resulting force vector should be tangent to the field line in that certain point in space. Crossed field lines would violate uniqueness and basically mean that the resulting force on a charge would point in two different directions, which of course can't be possible for a resulting force (and also mean that we would not have a defined value for the vector field F(x,y,z) at that point in space).
They don't cross, because they result from a heuristic "where will a charge tend flow if we place it at this point" or "where will a magnet point if placed here...". Naturally, each point in space will indicate only one direction (except for points of charges themselves), so no crossings. A crossing would mean a field value can take more than one direction at this point, undecidable.
There will be crossing field lines between electric field as conductor becomes an insulator as the electric field oscillate for a parallel shift with crossing magnetic field and will try to experience superconductive effect at critical points and maybe photons may stimulate such a critical points of super conductive electrons.
Thank you for the great explanation. Something that I am struggling to grasp and any input or feedback to help get me over the hump would be greatly appreciated. The concept of an electric (vector) field is straightforward, where every point in the region of space is represented by a vector that carries the magnitude and direction of the electric force acting on a positive test charge. However, the concept of field “lines” is proving hard to grasp, especially for magnetic fields. Maxwell tells us that the divergence of a magnetic field is zero everywhere. If we visualize the magnetic field lines forming closed loops around a magnet, Maxwell’s statement would imply that along a magnetic line or loop, all the field vectors that comprise the loop must be identical in strength, all along the loop. In other words, no matter how far out the magnetic loop extends from the magnetic source (such as a bar magnet or solenoid), the magnetic strength at every point along a particular loop must be the same (wether were at the point on the magnetic path right next to the magnetic source or much further away, but still on the same the loop). Moreover, we know the net magnetic field is weaker as you get further away from the magnetic source, so the conclusion is that the magnetic lines are not indicative of the net magnetic field strength, but rather the concentration or count of field lines at any point in the region dictates the net magnetic strength, and not the strength of a particular line. Is this accurate? Also, how come if you sprinkle iron filings across a magnetic field they only form into a few amount of lines? If every point in the region is represented by a vector, why aren’t there more field lines connecting all the vectors in the region instead of only a few field lines connecting a small set of vectors that comprise the entire field? Thanks in advance for any thoughts you may have.
How many lines a metal powder forms depends on powder particle size, magnetic strength, i.e. their ability to stick to nearby particle. There are no actual field lines in reality, they just indicate direction and density on a drawing. You can draw field lines with arbitrary resolution, and they all still will be "there". You can always add additional field lines in between all already drawn field lines, doubling their number, and can do it endlessly to infinity. It is just a tool helping visualize field direction and relative strength in certain place.
Hello Alexander! Unfortunately at the moment your book Equations Book of Physics cannot be purchased from Russia because of PayPal politics. Are there any other ways to support you and purchase the book?
I can understand that. My grandma lives in Russia and we can't transfer money through WesterUnion right now either. I can donate you the eBook via Email. Send me a short mail (see my website for email) and I will send it to you.
They don't cross each other simply because they do not exist. They are a geometrical "tool" to make field calculation easier. A field is a continuum without boundaries or other spacial limitations. It is valid for both the electric or magnetic fields.
That does not answer anything about why they could not cross. If they do not exist, then why would it matter if they would cross or not. Try to be smart somewhere else.
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Unfortunately I think this explaination can be misleading and based on a somewhat false assumption that a point charge exacly has to follow a certain single fieldline, as the animation 0:24 - 0:45 suggests. The animation is misleading for understanding motion and Newtonian mechanics in physics and does not represent the real trajectory of a point charge placed in a non homogenous electric field.
In reality, the charge would leave the first field line to upper parts of the field. above the first line as the line curves to the right. This is because an object with mass has inertia, and the resulting motion depends on _both_ the acceleration and velocity for the particle in every instant and point. Force (and acceleration) doesn't have to have the same direction is what Newtonian mechanics teach us. As an example: In planetary motion the resulting force is always towards the sun, but the velocity and hence the trajectory of the planet, fortunately for us all, isn't.
Field lines don't cross because of defenition of a field line (and a vector field): the resulting force vector should be tangent to the field line in that certain point in space. Crossed field lines would violate uniqueness and basically mean that the resulting force on a charge would point in two different directions, which of course can't be possible for a resulting force (and also mean that we would not have a defined value for the vector field F(x,y,z) at that point in space).
thanks for sharing
They don't cross, because they result from a heuristic "where will a charge tend flow if we place it at this point" or "where will a magnet point if placed here...".
Naturally, each point in space will indicate only one direction (except for points of charges themselves), so no crossings.
A crossing would mean a field value can take more than one direction at this point, undecidable.
There will be crossing field lines between electric field as conductor becomes an insulator as the electric field oscillate for a parallel shift with crossing magnetic field and will try to experience superconductive effect at critical points and maybe photons may stimulate such a critical points of super conductive electrons.
Thank you for the great explanation. Something that I am struggling to grasp and any input or feedback to help get me over the hump would be greatly appreciated. The concept of an electric (vector) field is straightforward, where every point in the region of space is represented by a vector that carries the magnitude and direction of the electric force acting on a positive test charge. However, the concept of field “lines” is proving hard to grasp, especially for magnetic fields. Maxwell tells us that the divergence of a magnetic field is zero everywhere. If we visualize the magnetic field lines forming closed loops around a magnet, Maxwell’s statement would imply that along a magnetic line or loop, all the field vectors that comprise the loop must be identical in strength, all along the loop. In other words, no matter how far out the magnetic loop extends from the magnetic source (such as a bar magnet or solenoid), the magnetic strength at every point along a particular loop must be the same (wether were at the point on the magnetic path right next to the magnetic source or much further away, but still on the same the loop). Moreover, we know the net magnetic field is weaker as you get further away from the magnetic source, so the conclusion is that the magnetic lines are not indicative of the net magnetic field strength, but rather the concentration or count of field lines at any point in the region dictates the net magnetic strength, and not the strength of a particular line. Is this accurate? Also, how come if you sprinkle iron filings across a magnetic field they only form into a few amount of lines? If every point in the region is represented by a vector, why aren’t there more field lines connecting all the vectors in the region instead of only a few field lines connecting a small set of vectors that comprise the entire field? Thanks in advance for any thoughts you may have.
How many lines a metal powder forms depends on powder particle size, magnetic strength, i.e. their ability to stick to nearby particle.
There are no actual field lines in reality, they just indicate direction and density on a drawing.
You can draw field lines with arbitrary resolution, and they all still will be "there". You can always add additional field lines in between all already drawn field lines, doubling their number, and can do it endlessly to infinity. It is just a tool helping visualize field direction and relative strength in certain place.
Very nice videos in this channel, lucky me today with the algorithm
hehe, thanks!
No dejes de hacer videos 😢, eres de los mejores que conozco
No pararé con los vídeos
Hello Alexander! Unfortunately at the moment your book Equations Book of Physics cannot be purchased from Russia because of PayPal politics. Are there any other ways to support you and purchase the book?
I can understand that. My grandma lives in Russia and we can't transfer money through WesterUnion right now either. I can donate you the eBook via Email. Send me a short mail (see my website for email) and I will send it to you.
@@fufaev-alexander Done, thank you for your goodness.⚛
@@fufaev-alexander ❤
Becouse of field line represent net electric field direction it has only one direction
I guess because of the equations?
superposition principle
why it is that ... ah yes simple because i defined a thing before ... so god cannot contradict .. that would be mean
😄
They don't cross each other simply because they do not exist. They are a geometrical "tool" to make field calculation easier. A field is a continuum without boundaries or other spacial limitations. It is valid for both the electric or magnetic fields.
His explanation is much more satisfying and interesting. You're the "um akshually" person with this comment.
Why are gender study students commenting here.
That does not answer anything about why they could not cross. If they do not exist, then why would it matter if they would cross or not. Try to be smart somewhere else.
Stay in your lane