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  4. A uniform but time-varying magnetic field exists in the cylindrical region and directed into the paper. If field decrease with time and a positive charge placed at any point inside the region, then it moves <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-lsab4ia5ecpavebx.jpg />

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Q. A uniform but time-varying magnetic field exists in the cylindrical region and directed into the paper. If field decrease with time and a positive charge placed at any point inside the region, then it moves
Question

NTA AbhyasNTA Abhyas 2022

Solution:

$\displaystyle \int E . d l=-\pi r^{2}\frac{d B}{d t}$
$E\times 2\pi r=+\pi r^{2}\times \frac{d B}{d t} \, (as \, \frac{d B}{d t}=-ve)$
$E=+ \, ve$
$\therefore $ assume direction is right
so $q$ charge move along 4
Solution