Follow along with the video below to see how to install our site as a web app on your home screen.
Note: This feature may not be available in some browsers.
https://en.wikipedia.org/wiki/Biot-...cuital_law.2C_and_Gauss.27s_law_for_magnetism
Biot-Savart's law is an extension of Ampere's law, anything that satisfies Biot-Savart's law also satisfies Ampere's law, the extra parts of the equation have to be added to model the real world field effects involved in an ACTUAL device where Ampere's law is pure theory.
That's seems a bit contradictory to me. If a Biot-Savart equation satisfies Ampere's law then how can there be a condition that Biot-Savart's doesn't use that Ampere's law does seeing that it will always make sense? I mean it has to be dealt with in some other way otherwise you couldn't come up with a proof that would satisfy both? Probably a bit over my head, calculus is definitely not my thing =>Ampere's Law requires certain conditions that Biot-Savart doesnt.
Now if we move to the end of the wire we see a different B we'll call B2. It's lower than B1 because we have for one the same contribution from 3 feet of wire that we had when we were in the center, but this time only once and the mid point distance is 1.5 feet. We have contributions from another part of the wire that is also 3 feet long, but that second part is now farther way with a mid point distance of 4.5 feet.
It's as if Biot-Savart includes an extra dimension that Ampere doesnt, although that's not entirely correct. So to get Ampere's to work you'd have to basically produce Biot-Savart from Ampere's.
Now if we move to the end of the wire we see a different B we'll call B2. It's lower than B1 because we have for one the same contribution from 3 feet of wire that we had when we were in the center, but this time only once and the mid point distance is 1.5 feet. We have contributions from another part of the wire that is also 3 feet long, but that second part is now farther way with a mid point distance of 4.5 feet.