A rectangular loop of wire has width $w = 0.10$ m and length $l = 0.30$ m. A current of $I = 5.0$ A flows clockwise when the loop is viewed from above. The loop is placed in a magnetic field that varies with the horizontal coordinate $x$ (measured from the left side of the loop) as\n\n$$\nB(x) = B_{0}\bigl(1 + \alpha x\bigr),\n$$\n\nwhere $B_{0}=0.20$ T and $\alpha = 0.5\;\text{m}^{-1}$. The plane of the loop is perpendicular to the direction of the field, and the side of length $w$ is parallel to the $x$-axis.\n\nCalculate the net magnetic force on the loop, giving its magnitude and direction.

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0.015 N directed toward decreasing field (right‑to‑left)

Neco Model Questions Vol1 2019 Physics Question 20

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