A square plate of side $'a'$ is placed in $xy$ plane having centre at origin if charge density of square plate is $\sigma  = xy$ then. Total charge on the plate will be

  • A

    $\frac{1}{2}\,{a^2}$

  • B

    ${a^2}$

  • C

    $3a^2$

  • D

    Zero

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