The magnetic field existing in a region is given by $\vec{B}=0.2(1+2 x) \hat{k} \mathrm{~T}$ . A square loop of edge $50 \mathrm{~cm}$ carrying 0.5 A current is placed in $x-y$ plane with its edges parallel to the $x-y$ axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is_____ $\mathrm{mN}$ .

Question

The magnetic field existing in a region is given by

\vec{B}=0.2(1+2 x) \hat{k} \mathrm{~T}

. A square loop of edge

50 \mathrm{~cm}

carrying 0.5 A current is placed in

x-y

plane with its edges parallel to the

x-y

axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is_____

\mathrm{mN}

.

The magnetic field existing in a region is given by B =0.2(1+2 x) k ~T . A square loop of edge 50 ~cm carrying 0.5 A

Quantrex Academy · Accepted Answer

Correct answer: 0

Force on segment parallel to x -axis will cancel each other. Hence F_ net will be due to portion parallel to y -axis. aligned & F=0.5 × 0.5 × 6 × 0.2-0.5 × 0.5 × 0.2 × 5 & =0.5 × 0.5 × 0.2 & =0.25 × 0.2 & =50 × 10^ -3 ~N & =50 mN aligned

The magnetic field existing in a region is given by B =0.2(1+2 x) k...

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