Question

Find the value of the potential at $x=+x$ , if a uniform electric field having a magnitude $E_{0} \, $ and directed along the positive $x-$ axis exists. Take the potential as zero at $x=0$ .

• A. $V\left(x\right)=+x\left( \, E\right)_{0}$
• B. $V\left(x\right)=-x\left( \, \, E\right)_{0}$
• C. $V\left(x\right)=+x^{2}\left( \, E\right)_{0}$
• D. $V\left(x\right)=-x^{2}\left( \, E\right)_{0}$

Answer 1

Answer: (B)

As $ \, E=-\frac{d V}{d r}$
$\therefore \, \, +E_{0}=-\frac{\left[V \left(x\right) - 0\right]}{x}$
or $V_{x}=-E_{0}x$