Charge $q$ is uniformly distributed over a thin half ring of radius $R$. The electric field at the centre of the ring is

  • [AIIMS 2008]
  • A

    $\frac{q}{{2{\pi ^2}\,{\varepsilon _0}{R^2}}}$

  • B

    $\frac{q}{{4{\pi ^2}\,{\varepsilon _0}{R^2}}}$

  • C

    $\frac{q}{{4{\pi }\,{\varepsilon _0}{R^2}}}$

  • D

    $\frac{q}{{2{\pi }\,{\varepsilon _0}{R^2}}}$

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  • [JEE MAIN 2021]