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in the diagram is a wire which lies in a magnetic field B, what is the force on the wire if a current of I flows through it and its geometry is comprised of 2 straight ends with a length of L each and a half circle with a radius of R??

http://lh6.ggpht.com/_H4Iz7SmBrbk/SiK5CuRdZXI/AAAAAAAABBI/pqhREiis00U/s720/Untitled.jpg [Broken]

what i did was break it up into 3 parts, the 2 ends and the circular part,,,

for all the parts, F=ILxB, but the angle is 90 dor all parts, so F=ILB

for the ends F=ILB

for the cricle F=I*(pi)*R*B

Ftotal=IB(2L+piR)

but the answer ios somehow meant to be

F=2IB(L+R)

cna someone see how this can be?

http://lh6.ggpht.com/_H4Iz7SmBrbk/SiK5CuRdZXI/AAAAAAAABBI/pqhREiis00U/s720/Untitled.jpg [Broken]

what i did was break it up into 3 parts, the 2 ends and the circular part,,,

for all the parts, F=ILxB, but the angle is 90 dor all parts, so F=ILB

for the ends F=ILB

for the cricle F=I*(pi)*R*B

Ftotal=IB(2L+piR)

but the answer ios somehow meant to be

F=2IB(L+R)

cna someone see how this can be?

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