A wire segment carrying a current I is bent into a cosine shape with period of 2π, i.e., y=cos(x) and the wire has length 4π in the x−direction. There is a magnetic field in the vicinity of the wire which points in the positive z−direction with a magnitude given by B=B0x. What is the magnitude of the y−component of the force on the wire segment?

A wire segment carrying a current I is bent into a cosine shape with period of 2π, i.e., y=cos(x) and the wire has length 4π in the x−direction. There is a magnetic field in the vicinity of the wire which points in the positive z−direction with a magnitude given by B=B0x. What is the magnitude of the y−component of the force on the wire segment?