Question

A uniform electric field having a magnitude $E_{0}$ and direction along the positive $X$ -axis exists. If the potential $V$ is zero at $x=0$, then its value at $X=+x$ will be

• A. $V_{x}=+x E_{0}$
• B. $V_{x}=-x E_{0}$
• C. $V_{x}=+x^{2} E_{0}$
• D. $V_{x}= -x^{2} E_{0}$

Answer 1

Answer: (B)

$\because E=-\frac{d V}{d X}$
$\Rightarrow V_{x}= -x E_{0}$