A current I flows in a semi-infinite straight wire along y = 2 b , z = 0 from ve
ID: 1265845 • Letter: A
Question
A current I flows in a semi-infinite straight wire along y= 2b, z = 0 from very large positive values of x to the point (0,2b,0), then around a semicircular wire centered upon (0,b,0) and in negative values of x in the z = 0 plane to the point (0,0,0), then along a second semi-infinite straight wire along y = 0, z = 0 from the point (0,0,0) to very large positive values of x. Find the magnetic field (using vector notation) produced at the point (0,b,0). (use the Biot-Savart law)
This is only one question. it keeps telling my to resubmit.
Explanation / Answer
Due to the two semi-infinite wires, the magnetic field at (0,b,0) as obtained by using Biot_Savart law = 2* 0.25*u*i/pi*r = 0.5*u*i/pi*b
where u is the magnetic constant, i is the current flowing in the conductore and r is the distance of the point from the comductor.
Due to the semi-circle, magnetic field = 0.25*u*i/r = 0.25*u*i/b
The effective magnetic field is in +z direction and is equal to = 0.25*u*i/b + 0.5*u*i/pi*b = 0 i + 0 j + (0.409*u*i/b) k ( in vector form)