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A rigid wire consists of a semicircular portion of radius R and two straight sections (figure 34-E6). The wire is partially immersed in a perpendicular magnetic field B as shown in the figure. Find the magnetic force on the wire if it carries a current i.

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Force due to the wire AB and force due to wire CD are equal and opposite to each other. Thus they cancel each other.

Net force is the force due to the semicircular loop = 2iRB

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