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The magnetic field existing in a region ...

The magnetic field existing in a region is given by
`B=B_(0)[1+(x)/(l)]hat(k)`
A square loop of edge l and carrying current I is placed with its edges parallel to the X and Y-axes. The magnitude of the net magnetic force experienced by the loop is

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The magnetic field in the region
`B=B_0(1+x/l)hatk`
Force on AB,
`F_1=iB_0(1+0/l)l=iB_0l`
Force on CD,
`F_2=iB_0(1+l/l)l=iB_02l`
The forces due to wires BC and AD will be equal and opposite. Hence, the force on BC and AD will cancel. Net force, `F_2-F_1=iB_0l`
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