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)

$\because E=-\frac{dV}{dX}$
$\Rightarrow V_x=-x{E}_0$