The charge per unit length of the four quadrant of the ring is $2\ \lambda , - 2\ \lambda , \lambda$ and $- \lambda$ respectively. The electric field at the centre is

115-866

  • A

    $-$ $\frac{\lambda }{{2\pi {\varepsilon _0}R}}\,\hat i$

  • B

    $\frac{\lambda }{{2\pi {\varepsilon _0}R}}\,\hat j$

  • C

    $\frac{{\sqrt 2 \,\,\lambda }}{{4\pi {\varepsilon _0}R}}\,\hat i$

  • D

    None

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