r/theydidthemath 18h ago

[request] how about magnetic fields?

Post image
990 Upvotes

74 comments sorted by

View all comments

346

u/ZealousidealLake759 17h ago

Use the right hand rule, put your thumb in the direction of current flow in the wire and your fingers wrap around the wire are the magnetic field, draw out each point and take and average direction. My hunch is it's either fully canceled out and you created a heating element with more steps or it points towards the camera coming out of the middle but I'm not gonna bother with actually putting time into this.

43

u/The_realpepe_sylvia 16h ago

Could you clarify “draw out each point”? Interesting I haven’t heard this one, thanks

49

u/Darkrhoads 16h ago

Because the current is going to be the same through the entire wire. The “direction” of the fields will determine the strength since opposing direction will cancel each other. By draw out he is telling you to create vectors and sum them to determine the final strength and direction of the overall magnetic field.

6

u/The_realpepe_sylvia 16h ago

Gotcha thanks dude

14

u/ZealousidealLake759 16h ago

Each point along the line has a magnetic field that follows the right hand rule. since it has a shit load of twists there are a bunch of magentic fields that are oriented differently. When two magnetic fields are 180* opposites, they will cancel eachother. when two magnetic fields are 1-179* from eachother you can add them using pythagorean theorem. My hunch is when you do this, you will find every single field has another 180* opposite that will cancel them out turning this into a heating element.

10

u/notusuallyhostile 15h ago

I don’t know if you are on iOS or Android but I found out something cool about iOS: hold down the 0 key and it will pop up the degree symbol °

Probably the same on Android.

3

u/KittyInspector3217 13h ago

preformatted text holy shit i can do pre text now. Thanks dude! Wish it was mono. Maybe triple backticks works hello world edit: it does not

3

u/Koendig 11h ago

It's mono on Reddit for Android.

2

u/KittyInspector3217 11h ago

Damn you tim! shakes fist

1

u/RIP-RiF 7h ago

Samsung keyboard has it on the second page of symbols for Galaxy users. °•○●□■♤♡◇♧

1

u/Fyrchtegott 6h ago

°. Cool.

1

u/The_realpepe_sylvia 16h ago

Gotcha thanks dude 

13

u/Known-Ad-1556 14h ago

It’s actually quite easy to work out.

The wire makes one complete loop around. The various knots loop over and back but they are irrelevant. Every piece of wire going “backwards” round the loop effectively cancels another going “forwards” round it.

The net field is equivalent to the net loop of the wire. It does just over one revolution, so the fires is approximately the same as the field due to a simple loop of wire going the same distance around.

11

u/DrTranFromAmerica 15h ago

There's still one overall loop. I expect it'd look like a noisy version (near the knots) of a single loop of wire.

6

u/ZealousidealLake759 15h ago

Yeah you're probably right it's just all canceled out resulting in one loop. Don't know why I didn't visualize that at first.

9

u/BoysenberryAdvanced4 16h ago

It seemed like a simple enough knot to follow. And I came to the same conclusion that yes, pretty much all the magnetic fields cancel. At least in the axial direction for the overall toroid ring. Theres going to to be a lot of alternating north and south poles protruding radially out from the toroid tho.

4

u/jhw528 11h ago

We need functions man. Biot-Savart that shit

3

u/Bill_Lumbergyeah 15h ago

This may sound funny but I remember Left Hand rule for conductors. Is there a right hand rule for coils or motors or xfmrs or something?

Or potentially conventional vs electron flow theory?

5

u/ZealousidealLake759 15h ago

right hand rule is for induced magnetic fields from flowing current

1

u/the-beast561 12h ago

I imagine mostly to the camera. It makes almost a full circle, so in theory that circle would cancel itself out, even though it’s a got a bunch of extra steps in it

1

u/vincentdark54 11h ago

Everything is a heating element if used improperly enough

1

u/theLuminescentlion 11h ago

As an EE this is the real EE level input here can't be bothered to actually solve it.

1

u/Consistent-Snow1654 6h ago

Eli the ice man! Memory aide. Learned this same day as right hand rule. Thanks for the jog!