Magnetic Field from a Square Loop using Biot-Savart

Physics Ninja shows you how to evaluate the magnetic field produced by a square loop. The Biot-Savart law is integrate over the segments to find the magnetic field at the center of the loop

[jamesdawsey]

Thorough, methodical, and well explained. I love it!

[tabatuby]

very nice, i love the mathematical reasoning not just throwing around formulas

[taladiv]

Your videos are a great contribution for us students preparing for the upcoming exam!

[dialgos]

This was a Question on the last paper of a subject at college. I needed all points of the paper to be able to write the exam and thanks to you I was able to get them! Thanks so much!!!

[juniorcyans]

Very helpful! I learned a lot from this example! Thank you so much!❤❤❤

[tolgaayan]

That was a pretty rough one. Thanks for the tutorial :)

[sodiepops]

I am doing a version similar to this problem. In my case, the point p is outside of the square at a point (0, r, 0), however r >>> a, I feel like this means I can approximate all side contributions as equal in a similar way to if the point was at the centre, this would still allow me to use symmetry to help. Am I correct?

[ptyptypty]

well done !!!.. a complete video !!.. thank you!!.. is it possible to have done one Quarter of the square, the lower right quadrant, and then multiplied times 8 ?? rather than 4?... thank you!!.. actually... I should try the problem and answer my own question... lol.. but THANK YOU for a perfect video in regards to the Biot Savart Law...

[nurulfebrian]

I really appreciate the way you explain this, thx u so much, it is more easier to understanf

[SamoanForeverxx]

Why did you break r hat into two components? In the previous example you didn't. In the circular loop and infinite rod. Why now did you break it?

[spurti]

Hii so i hat cross j hat has to equal to 1 right because in the coordinate system the i hat and the j hat is orthogonal to each other. And if I am wrong so feel free to correct me.

[muhammedgunes]

Is it possible to solve it without symmetry and how is it possible to do it in one go without breaking it up in pieces?

[Tomyato]

Waouh, your explication is lit brother 🔥❤️. Keep it up

[rjrodrig]

@Physics Ninja  Could you kindly show how to setup the same problem when the loop is a rectangle and point P is on the z axis at a height H away from where you show it now in the video? I have tried it and I am making a setup mistake as I can't match the book exact equation. I get close but I don't match it. Please help.

[CDinkle]

Great videos, great channel, thanks!!

[benphilipson]

Please do the same but now for a rectangular loop

[CecilRinehart]

Could you tell me why you have it over r^3 rather than over r^2?

[reubencrawfordclarke]

had to adapt it slightly for a rectangular wire but thanks my guy :)

[nezvanova_]

Why not solving with theta? or better, his complementary angle there, isn't it possible to do it? I tried that way before coming here and the difference was that I couldn't get that 2 in the final solution, even tho was way more simple

[priyamckb]

What happened if the direction of electricity is different(not behave like a loop) on square