- #1
Telcron
- 3
- 0
Homework Statement
Basically there is conductor shell which is in the shape of a semicircle. It extends to infinity. (Think of this as like half of a cylindrical conductor shell). The radius of this shell is A, and it carries a total current of X. The shell extends infinitely into the page. What is B-Field (Magnetic Flux Density) at the center of this conductor? I attached image for clarity.
The Attempt at a Solution
I think that this problem should be easy to solve. Basically I find the B field due to a long wire of some current, and then change this to make it dB which I would integrate from 0 to pi to find the total B - Field as the superposition of all of the dB elements. Does this sound like the right approach? I know that the field due to a wire is ([tex]\mu[/tex]* I)/(2*[tex]\pi[/tex]*r) where r is the distance from the wire. For dB, this should be ([tex]\mu[/tex]* dI)/(2*[tex]\pi[/tex]*r). I am not quite sure how to set up this integral as I am not quite sure on how to express dI. Any suggestions?
Sorry for my bad English I do not speak it natively.