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Q. A wire carrying 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 $y=2 x-x^{2}$. If the force on the wire is $a B_{0} i$, then find $a$.Physics Question Image

Moving Charges and Magnetism

Solution:

$y=2 x-x^{2}=0$
$x=0$ or $x=2$
$F=B i l=B_{0} i \times 2$