An electric field $\overrightarrow{\mathrm{E}}=(25\widehat{\mathrm{i}}+30\widehat{\mathrm{j}}){\mathrm{NC}}^{-1}$ exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2 m, y = 2 m is :

given,

$\overrightarrow{E}=(25\widehat{i}+30\widehat{j})N{C}^{-1}$

V at origin $\to$Zero

we have to find the potential $\text{ at }x=2,y=2\text{ ? }$

$\overrightarrow{r}=2\widehat{i}+2\widehat{j}$

$$\begin{gathered} V_{AB}=\overrightarrow{E}=\overrightarrow{r} \\ {v}_A-v_B=(25\widehat{i}+30\widehat{j})\cdot (2\widehat{i}+2\widehat{j}) \\ {v}_A-v_B=50+60=110 \\ -v_B=110 \\ {v}_B=-110 V \end{gathered}$$

Correct option is A.