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Q.

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve y = a\sin \,\left( {\frac{{\pi x}}{L}} \right)\,0 \leqslant x \leqslant 2L.  The force acting on the wire is
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a

2iBL

b

iBL\pi

c

\frac{{iBL}}{\pi }

d

Zero

answer is C.

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Detailed Solution

The given portion of the curved wire may be treated as a straight wire of length 2L which experiences a magnetic force {F_m} = Bi(2L)

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