- #1
cdummie
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- 5
Homework Statement
Say we have a very long conductor shaped like half circular cylinder . With radius a and negligible thickness with constant current through it . At the axis of the cylinder, there is linear conductor with constant current through it . If these conductors are placed in vacuum, determine the force action on the linear conductor.
Homework Equations
The Attempt at a Solution
Since i have to know magnetic field vector (B) so i could find force, i first calculated it, doing it this way, i considered that half cylinder consists of huge number of linear conductors, and i got this for the one linear conductor: B=(μ0*I)/2πa , since this is just a piece of magnetic field i labeled it dB, and the current dI,
considering dI/dl=I/aπ (it's dI over dL) i got dI=(IdL)/aπ. Now, after i considered x and y components of the vector and calculated it's values i got Bx=-(μ0I)/aπ2 and the By was zero. Now, what confuses me is while calculating the value of the one linear conductor I'm not sure if i did it correct, i mean it's basically calculating the magnetic field of one very long linear conductor to another very long linear conductor, I'm not sure can i do it this way