Question

Variation of electrostatic potential along the $x$-direction is shown in figure. The correct statement about electric field is

• A. $x$-component at point $B$ is maximum
• B. $x$-component at point $A$ is toward positive $x$-axis
• C. $x$-component at point $C$ is along negative $x$-axis
• D. $x$-component at point $C$ is along positive $x$-axis

Answer 1

Answer: (D)

We know, $E=-\frac{d V}{d x}$.
At $B, d V / d x=0$, hence $E_{x}=0$.
At $A, d V / d x$ is positive, hence $E_{x}$ is negative.
At $C, d V / d x$ is negative, hence $E_{x}$ is positive.