Derive an expression for the force \(\vec F\) acting on a conductor of length \(L\) and area of cross-section \(A\) carrying current \(I\) and placed in a magnetic field \(\vec B\).
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For a wire of any shape placed in a uniform magnetic field,
\[
\vec F=I(\vec L\times\vec B),
\]
where \(\vec L\) is the vector joining the initial and final points of the wire.