Question

An electric field $\overline{E}=50\hat{i}+75\hat{j}N/C$ exists in a certain region of space. Presuming the potential at the origin to be zero, the potential at point P(1m,2m) will be

• A. 100 V
• B. -100 V
• C. 200 V
• D. -200 V

Answer 1

The correct option is A 100 V

$\overline{E}=50\hat{i}+75\hat{j}N/c$

$P(1m,2m)$ and $Q(0,0)$

$V=0$

$\sqrt{1+4}=\sqrt{5}$

$V=E.d$

$=(50\hat{i}+75\hat{j})\sqrt{5}$

$=\sqrt{{50}^2+{75}^2}\times \sqrt{5}$

$=100V$