The magnetic field existing in a region is given by $\vec{B}=B_0\left(1+\frac{x}{l}\right) \hat{k}$. A square loop of edge I and carrying a current $i$, is placed with its edge parallel to the $x-y$ axes. Find the magnitude of the net magnetic force experienced by the loop
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(c)
$\vec{B}=B_0\left(1+\frac{x}{l}\right) \hat{k}$
$\text { at } x=0, B_1=B_0 \hat{k}$
$\text { at } x=l, B_2=2 B_0 \hat{k}$
$F_{\text {net }}=F_2-F_1=i l\left(B_2-B_1\right)$
$=i l\left(2 B_0-B_0\right)$
$=ilB_0$
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