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  4. Point charge q moves from point P to point S along the path PQRS (as shown in fig.) in a uniform electric field E pointing co-parallel to the positive direction of X-axis. The coordinates of the points P , Q , R and S are ( a , b , 0), (2 a , 0,0),( a ,- b , 0) and (0,0. 0) respectively. The workdone by the field in the above case is given by the expression

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Q. Point charge $q$ moves from point $P$ to point $S$ along the path PQRS (as shown in fig.) in a uniform electric field $E$ pointing co-parallel to the positive direction of $X$-axis. The coordinates of the points $P , Q , R$ and $S$ are $( a , b , 0)$, $(2 a , 0,0),( a ,- b , 0)$ and $(0,0$. $0)$ respectively.
The workdone by the field in the above case is given by the expressionPhysics Question Image

Electric Charges and Fields

Solution:

$w =\vec{ F } \cdot \vec{ s }=E q \hat{ i } \cdot(- a \hat{ i }- b\hat{j })=-E q a$