Magnetic Field at the Center of a circular loop | Biot savart law | Floatheadphysics

Step by step - magnetic field at the centre of the loop.
Let's calculate the magnetic field strength and direction at the centre of a circular loop carrying current.
To do this we are going to use the Biot Savart law.

[Edw]

So... A question: why can we NOT use Ampère's Law for the magnetic field in the center of the loop? Like, at (0, 0, 0). We'd consider the integration curve to be the loop wire and integrate it. Then the resulting magnetic field would be the one in the center - the same in an infinite wire, because it's not a curve, just a straight line as in a infinite wire. But this doesn't work and I don't understand why. Could anyone please explain me why it doesn't work? (There's a Pi in the denominator with Ampère's Law and with Biot-Savart's Law there's no Pi anywhere)

[adamolition]

"yeah, whatever" HAHA I LOVE IT

[vectorcomponents]

its sad you have only a few views :'(

[anshchaudhary]

Can someone please explain why sin(dx) = dx [ x is an angle I don't have theta on my keyboard ]