Magnetic Field from Infinite 2D current sheet

Magnetic Field from Infinite 2D current sheet - Ampere's Law

Рет қаралды 62,143

Күн бұрын

Physics Ninja uses Ampere's law to evaluate the magnetic field produced by a two dimensional (2D) current sheet. The field is also obtained using the result from a wire and integrating over a series of wires placed adjacent to each other to form a 2D sheet.

Пікірлер: 77

@carlosmartinez5128 4 жыл бұрын

Just had an online exam with this question, you're definitely the best teacher

@the_moonwatcher9196 2 жыл бұрын

found this in the nick of time. got an assessment due later today and this helped a bunch with it. Thanks a lot!

@amiyancandol4499 4 жыл бұрын

Dude you definitely are THE GUY man! I'll follow you even after I complete my high school

@gallo189 Жыл бұрын

You sir deserve the whole world. Thanks a lot, very well explained.

@saltyYagi_ 3 жыл бұрын

Thanks man, solid stuff and clear explanation

@sushantravva8533 2 жыл бұрын

Thank you so much man!! ❤️I was badly struggling to visualise this…

@Ran_Sim_Pro 9 ай бұрын

Thoroughly explained, thank you!

@user-fw3dh4nj7q 4 жыл бұрын

This problem is literally in my book You're soooooo useful keep going Lifesaver (hugs and kisses hugs and kisses)

@jackedgentleman3041 3 жыл бұрын

Well done! Thank you for your help!

@scottcarpenter9993 3 жыл бұрын

Dude, you are awesome! An education Ninja.

@ComradeCovert 3 жыл бұрын

my professor this semester was really, really bad. thank you for saving my gpa

@PhysicsNinja 3 жыл бұрын

Happy to help.

@debu6581 2 жыл бұрын

Undergraduate student?

@chitrakandpal6373 4 жыл бұрын

Awesome explanation.thanks.

@alp5211 Жыл бұрын

wow extremely clear, didn't fully understand it even though i saw my lecture twice until i saw your video sir!

@PhysicsNinja Жыл бұрын

Glad it helped you understand things better.

@studyspeakers1286 5 жыл бұрын

Nice explain like ninja 😉

@taladiv3415 3 жыл бұрын

Good energetic teacher 💪

@luis-vv3lw 4 жыл бұрын

Awesome video

@beytulk 3 жыл бұрын

You're helping people from all over the world. Thanks from Istanbul Technical University, Turkey.

@taladiv3415 3 жыл бұрын

Add Ben-Gurion University, Be'er-Sheva, Israel to the multinational student viewer base.

@ashwinikumarbehera4745 Жыл бұрын

Very Nice explanation. Thank you.

@mason_manjeetCOD Жыл бұрын

Thank you physics ninja Love from India

@technoteacher7539 Күн бұрын

Wonderful explanation ❤ From India

@sayyedmaaz4290 4 жыл бұрын

You really deserve more likes

@isaacpike4123 3 жыл бұрын

How does this work when you have two parallel plates?

@samiryousry9105 4 жыл бұрын

thanks dude u the best

@seanD11 3 жыл бұрын

For method 2, for the right side of the sheets of current, why is it X instead of X/2? Isn't the full length of the sheets of current supposed to equal X?

@flybynjght2324 4 жыл бұрын

why doesn't the y component cancel with the other points?

@khaledomar9411 2 жыл бұрын

Just Perfect 👌

@QQI-nm5vu 6 ай бұрын

Simply the GOAT.

@kimjongmathematics9336 3 жыл бұрын

You solved my problem thanks a lot

@gouravghosh2280 11 ай бұрын

Oh, man! Absolutely genius! Got badly stuck in a problem from chapter 11 of DJ Griffiths, Electrodynamics on finding torque on magnetic dipole due to surface currents. Thanks, buddy, for rescuing me after 5 hrs of struggle. ❤️ from India.

@PhysicsNinja 11 ай бұрын

Griffiths brings back a lot of memories.

@gouravghosh2280 11 ай бұрын

@@PhysicsNinja ❤worth it to go through this masterpiece! It seems the universe wants some of us (and generations to come maybe > 1000 yrs) to enjoy it!😄

@gabihammer3452 4 жыл бұрын

can you do one with a 3d current sheet?

@uttambadyakar845 4 жыл бұрын

U solved my problem

@sphericalcow971 2 жыл бұрын

Should it not be B(y) instead of B(z) since the magnetic field points in the y direction ?

@shivangi3030 2 жыл бұрын

thankyou so much sir

@phuonganhtran2947 3 жыл бұрын

I thought the cancel out should be horizontal not vertical. Can u explain please

@daanwillems828 2 жыл бұрын

Dankuwel meneer

@deyardeyar8163 3 жыл бұрын

Wht if the point is on the y axis, is the answer is the same, can someone answer this pease

@siddhantmaharana3936 2 жыл бұрын

Thanks a lot

@nashal2671 Жыл бұрын

Thank you so much sir😍

@PhysicsNinja Жыл бұрын

Most welcome

@PTNLemay 3 жыл бұрын

I have a problem that asks us to measure the magnetic field infinitely close to the infinite current sheet. We can see here that the magnetic field has a clear value going one way or another depending on whether we are above or below the sheet. But if we are exactly on the sheet, does the magnetic field go to zero?

@shubhkarmansingh4385 2 жыл бұрын

It could be infinite, we can think the infinite sheet of current as many infinite straight wires kept laterally together, the point on that sheet could then be viewed as it is kept an infinite straight wire and as the distance between the infinite straight wire is zero from the expression for field due to a straight wire(long) It will approach infinity. I'm not sure though I made it up just now.

@physicsadhyaapak 4 жыл бұрын

Thanku

@ruby-oo9fi 4 жыл бұрын

Thx bro 👍

@jak9439 2 жыл бұрын

Beaaasttttt. Took you 11 minutes to explan what my professor at a sub 20% acc rate university took an hour to do

@PhysicsNinja 2 жыл бұрын

It’s not his fault, he’s just a professor, not a Ninja.

@yarenkaya7872 2 жыл бұрын

Not for this infinite-sized sheet but the only thing that I am stuck at is why we cannot use Ampere's law for a rectangular 2D current sheet one side of infinity and the other of the length of d Anybody who can explain is appreciated

@Grand_Priest_Goku 3 жыл бұрын

i get how the field point horizontally at any point, but shouldn't the magnitude get weaker as u get farther away from the sheet? The final expression does not depend on z which doesn't make sense...

@PhysicsNinja 3 жыл бұрын

You’re right that in real life this doesn’t make sense but keep in mind that this in an infinite sheet which also doesn’t make sense. It’s like gravity being constant .... it’s true only near the surface or the electric field produced by a plate is also constant (gauss’s law)

@Sg0224 4 жыл бұрын

congrats ,you got a new subscriber!

@PhysicsNinja 4 жыл бұрын

Awesome!

@bakisanlan682 3 жыл бұрын

for 6:06, The real reason ,why in 2 and 4 numbered side magnetic field is perpendicular to the side,is wrong i guess. The real reason is there are currents in right and left of second side. Due to this currents, in right side currents apply -B.dl and in left side currents apply B.dl so total B.dl will be zero. Am i wrong and why?

@aadityashrivastava7541 3 жыл бұрын

Well no, it is B(dot)dl right. So the dot product will be zero because they are perpendicular. So the original reasoning was right. Current flowing through 2 and 4 does not directly imply a magnetic field density associated with it. dB vector is proportional to the cross product of (I dot dl) and distance vectors. So if I dot dl is 0 --> dB is also = 0. Hope you got it

@albertmendoza8330 3 жыл бұрын

Maybe I missed something, but isn’t current equal to J•dA?

@the.sanidhya 16 күн бұрын

Coz, thickness is been ignored

@anithathomas189 3 жыл бұрын

thank uuuuuu

@kenansenturk3403 Жыл бұрын

What about if the sheet is finite in length?

@PhysicsNinja Жыл бұрын

Then the field will depend on position and you’ll need to use Biot-Savart to calculate the field at a specific point.

@kenansenturk3403 Жыл бұрын

@@PhysicsNinja Thanks a lot but can you share a solved example related with it. For example assume you have ten parallel current carrying wires near to each other and their lengths are 10cm and you are trying to find the magnetic field 1cm above the sheet.