Question

The potential at the origin is zero due to electric filed $\stackrel{-}{E}=(20i+30j)N{C}^{-1}$. The potential at point P (2m,2m)

• A. $1$V
• B. $-100$V
• C. $10$V
• D. $2$V

Answer 1

The correct option is B $-100$V

Charge in potential $=$ Integral (vector & dit vector) $dl$ is the length element So $V-0$ Vector & dst Integral (vector $dl$) from $(0,0)$ to $(2,2)$

$V=-(20\hat{i}+30\hat{j}).\{(2,2)-(0,0)\}$

$V=-(20,30).(2,2)$

$V=-(40+60)=-100V$