>[!summary] > The magnetic flux is a mesarument of how much of something magnetic flows through a surface > Bending current is created from [[❓Length Contraction]] and causes the charges to bend towards the charge on the outside of the wire > > **Key equation:** > Magnetic flux: $\Phi = \oint \vec{B}\cdot dA$ > # What is Magnetic Flux Magnetic flux is measurement for describing how much of something magnetic flows through something often imagery similar to [[Flux]]. $\Phi _B = \oint B \cdot dA$ ![[mflux_1.png]] [^1] >[!note] Explanation The field lines are circular and outwards which is whats noticed in experiment # Bending Current If a magnet or charge is moved close to wire the charges tend to bend towards that outside object. This is caused by the lorentz force which explains how and where that force will be created ([[Magnetic Force#Lorentz Force]]) ## How does this Happen If we have a positive charge, and it moves with some velocity, and the current in the wire also moves with that same speed. The electrons experience [[❓Length Contraction]] (although they are not moving near the speed of light) there are so many electrons and there attraction to protons are so strong the length contraction is notable.![[Screenshot 2025-06-07 at 2.38.31 AM.png]] >[!note] Explanation A positive charge outside the wire will force the positive charges to be pushed away from the positive charge outside the wire. Because both the positive charge and the electrons are moving with the same speed. In the positive charge frame of reference there are more positive charges than negative charges because of [[❓Length Contraction]]. Because of [[Charge]] and the [[Electric Fields]] the positive charge experience a push away from the positive charges. ![[mflux_1.png]] [^1] >[!warning] Important Now if were stationary we say this is a magnetic field (but its actually a electric field just viewed in a different frame of reference) # Extra Resources I found this video helpful in understanding why bending current is due to special relativity by [Veritasium](https://www.youtube.com/results?search_query=how+does+current+bend) [^1]: Taken from https://tikz.net/magnetic_field_wire/ by Izaak Neutelings (March 2020) --- > 🧠 Enjoy this walkthrough? [Support Math & Matter](https://github.com/rajeevphysics/Obsidan-MathMatter) with a star and help others learn more easily. ---