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Net force on a square loop in a field that increases linearly with x

The same question, asked 2 times: 4 Apr 2024*, 9 Apr 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    4 Apr 2024

    23
    The magnetic field existing in a region is given by B→=0.2(1+2x)k^T\overrightarrow{B}= 0.2(1 + 2x)\widehat{k}T. A square loop of edge 50 cm50\text{ }cm carrying 0.5 A current is placed in x−yx - y plane with its edges parallel to the xx-y axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is ____ mNmN.

  2. Question 2

    9 Apr 2024

    26
    A square loop of edge length 2 m2\text{ }m carrying current of 2 A is placed with its edges parallel to the x−yx-y axis. A magnetic field is passing through the x−yx-y plane and expressed as B→=B0(1+4x)k^\overrightarrow{B}=B_{0}(1 + 4x)\widehat{k}, where B0=5 TB_{0}= 5\text{ }T. The net magnetic force experienced by the loop is _____ NN.