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

Options

A. `(25 xx 10^(3)) hati NC^(-1)`
B. `(50 xx 10^(3))hati NC^(-1)`
C. `(25 xx 10^(3))hatj NC^(-1)`
D. `(50 xx 10^(3))hatj NC^(-1)`

Answer

A