Find the electric field at the origin of the x,y-plane for charge distributions (a) and (b), see the figures shown below. The field is produced (a) by a thin half-circle with a radius of 12.5 cm and the linear charge density K = 18.5 pC/cm and (b) by a thin quarter-circle with the same radius and the linear charge density K = -18.5 pc/cm. K>0 y X K<0 X
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