Question
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 :

Answer

$y=2 x-x^{2}=0$

$x=0$

$x=2$

$F=B i \ell$

$=B_{0} i \times 2$

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