# The electric field in a region is given by $\;\overrightarrow{E}=5 \hat{i} - 3 \hat {j}\;.$ Find $\;V_{B}-V_{A}\;.$ If A is origin & B is $\;(0,0,5)\;m$

$(a)\;25\qquad(b)\;-15\qquad(c)\;0\qquad(d)\;none$

Explanation : $V_{B}-V_{A}=- \int_{A} ^{B}\;\overrightarrow{E}\;.\overrightarrow{dl}$
$=-\;\int_{A}^{B}\;(5 dx-3 dy)$
\begin{align*}=-\;\int_{(0,0,0)}^{(0,0,5)}\;(5 dx-3 dy) \end{align*}
$V_{B}-V_{A}= 0\;.$
edited Jan 10