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

  • [AIEEE 2007]
  • A

    $\frac{{10}}{9}$ $\frac{V}{{\mu m}}$ and in the $+ve\ x$ direction

  • B

    $\;\frac{5}{3}$ $\frac{V}{{\mu m}}$ and in the $-ve\ x$ direction

  • C

    $\;\frac{5}{3}$ $\frac{V}{{\mu m}}$ and in the $+ve\ x$ direction

  • D

    $\;\frac{{10}}{9}$ $\frac{V}{{\mu m}}$  and in the $-ve\ x$ direction

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  • [AIPMT 2015]

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