The variation of electrostatic potential $V$ along the $x$-direction is shown in the graph. Which of the following statements about the electric field is correct?

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

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Similar Questions

The electric potential $V(x, y, z)$ for a planar charge distribution is given by:
$V(x, y, z) = \begin{cases} 0 & \text{for } x < -d \\ -V_0(1 + \frac{x}{d})^2 & \text{for } -d \le x < 0 \\ -V_0(1 + 2\frac{x}{d}) & \text{for } 0 \le x < d \\ -3V_0 & \text{for } x \ge d \end{cases}$
where $-V_0$ is the potential at the origin and $d$ is a distance. The graph of the electric field as a function of position is:

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