Magnetic Field using Biot-Savart law: Circular Loop and Long Wire

Physics Ninja looks at the Biot-Savart law and uses the law to calculate the magnetic field produced by a current loop. In the second example i show how to evaluate the field produced by a long wire.
For the long wire i show how to solve using trigonometric substitution and also using integral tables.

[Doda-smmm]

Just what I needed for my midterms. Thanks physics ninja for making my day! 😁

[talentmareverwa]

wish you would use your
right hand to indicate what youre talkin about

[dalenassar]

Thanks for all these great videos. Especially for the Biot-Savart explanations!!!
I have one question: What if, during the integration around a curve produces an angle of GREATER than 180 degrees??? Do I use the sine of the other smaller (acute rather than oblique) angle??
THANKS

[tyronekim]

Very good explanation. I learned something new today. Thank you.

[rickgrimes]

Panzer you. (Insert 'h' after the first letter in the value of panzer)

[eliazarouke]

This is really alleviating, the explanation is just superb ! Thumbs up

[Jasonvoobhggg]

That trig sub integral wasn't straightforward actually lol.😂

[frietvet]

Second example was really helpful, thanks!

[jathursankuganath]

Hello Sir, I got a quick question. Do you know what physics concepts are used by robotics technicians?

[yjweaver]

How about magnetic field at any point inside the loop? Is there a closed-form solution?

[brisket]

Lost me at trig subs. I can't follow along trig subs 😢

[diatribeeverything]

In the second example, your manual integration reached "sin theta" as your answer. The table shows something much different. I know, ultimately, you got to the same answer but I'm having trouble reconciling that or seeing the wood for the trees. Is there a way you can illuminate this so it makes more sense? Love you videos btw, you're amazing!