Electric field in a region is given by $\vec{E}=(2 \hat{i}+3 \hat{j}-4 \hat{k})$ V/m. The potential difference between points (0, 0, 0) and (1, 2, 3) will be
Answer & explanation
Correct answer: option 3
P.d. across the points $=-\vec{E} . \Delta \vec{r}$
$V_2-V_1=-(2 \hat{i}+3 \hat{j}-4 \hat{k}) . (\hat{i}+2 \hat{j}+3 \hat{k})=-2-6+12=4$ volts.
∴ (C)