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-sm9mm]

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

[@PhysicsNinja]

You got this, good luck

[@tyronekim3506]

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

[@frietvet]

Second example was really helpful, thanks!

[@eliazarouke4457]

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

[@PhysicsNinja]

Thanks a lot!

[@dalenassar9152]

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 MUCH!!!!!

[@shivanksingh2731]

Nice video!

[@jathursankuganath3524]

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

[@cooldude11_1]

omg this is really good!

[@PhysicsNinja]

Thank you

[@litchguy1905]

thanks for the help

[@timelapseguy9771]

What drawing app do you use?

[@PhysicsNinja]

I use the draw function on PowerPoint. I also have used one note on PC and notability on MAC

[@yjweaver5108]

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

[@PhysicsNinja]

Not for an arbitrary loop.

[@caghey]

the best

[@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!

[@PhysicsNinja]

Can you send a picture of the table. [e-mail]

[@user-gt9mw3ou9e]

you are that good❤‍🔥❤‍🔥❤‍🔥❤‍🔥

[@curtisschuler6275]

I love you

[@talentmareverwa3142]

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

[@Jasonvoobhggg]

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

[@PhysicsNinja]

I agree, I guess after doing it for the 500th time it’s more straightforward

[@brisket222]

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