Question

A uniform electric field of magnitude $E_0$ is directed along the positive X - axis. 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

The correct option is B $V_x=-x{E}_0$

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