The potential at a point $x$ (measured in $\mu m$) due to some charges situated on the $x$-axis is given by $V(x) = \frac{20}{x^2 - 4} \text{ volt}$. The electric field $E$ at $x = 4 \mu m$ is given by:

  • A
    $\frac{10}{9} \text{ V/}\mu m$ and in the $+ve \ x$ direction
  • B
    $\frac{5}{3} \text{ V/}\mu m$ and in the $-ve \ x$ direction
  • C
    $\frac{5}{3} \text{ V/}\mu m$ and in the $+ve \ x$ direction
  • D
    $\frac{10}{9} \text{ V/}\mu m$ and in the $-ve \ x$ direction

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