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A wire, of length L (=20 cm), is bent into a semicircular arc. If the two equal halves, of the arc, were each to be uniformly charged with charges ± Q, [|Q| = 103 ε0 . Coulomb where  ε0 is the permittivity (in SI units) of free space] the net electric field at the centre O of the semicircular arc would be :

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