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  4. The figure shows an electric line of force which curves along a circular arc. The magnitude of electric field intensity is the same at all points on this curve and is equal to E . If the potential at A is V , then the potential at B is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-4orc4bfwhvauk3lj.jpg />

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Q. The figure shows an electric line of force which curves along a circular arc. The magnitude of electric field intensity is the same at all points on this curve and is equal to $E$ . If the potential at $A$ is $V$ , then the potential at $B$ is


Question

NTA AbhyasNTA Abhyas 2022

Solution:

$V_{A}-V_{B}=$ Work done by the electric field per unit charge.
Work done from $A$ to $B=ER\theta $
$\therefore V_{B}=V_{A}-ER\theta =V-ER\theta $