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A wire, of length $L(=20 cm) $ is bent into a semi- circular arc. If the two equal halves , of the arc, were each to be uniformly chraged with charges [ $\pm Q, |Q|=10^{3}\; \in_0$ coulomb where $\in_0$ is the permittivity (in SI units)of free space] the net electric field at the center O of the semi circular arc would be :

$\begin{array}{1 1} (50 \times 10^3 N/C) \hat j \\ (25 \times 10^3 N/C) \hat i\\(25 \times 10^3 N/C) \hat j\\ (50 \times 10^3 N/C) \hat i \end{array} $

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