A wire carrying a current $I$ is placed inside a uniform magnetic field $\vec B=-B_0\hat k$. The shape of the wire is parabolic and has equation $Y = 2x -x^2.$ The force on the wire will be :
Diffcult
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$y=2 x-x^{2}=0$
$x=0$
$x=2$
$F=B i \ell$
$=B_{0} i \times 2$
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