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A wire of length L= 20 cm is bent into a...

A wire of length L= 20 cm is bent into a semicircular arc and the two equal halves of the arc are uniformly charged with charges `+Q` and `-Q` as shown in the figure. The magnitude of the charge on each half is `|Q| =10^(3) epsilon_(0)`, where `epsilon_(0)` is the permittivity of free the space. The net electric field at the center O is

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