A thin rod of length .and uniform charge per unit length A lies along the xaxis as shown in Figure P23.44. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x RP d Ciqure P23 44

A -12 nC charge is located at  (x,y)=(1.0 cm, 0 cm). What is the electric field at the position (x1,y1)=(5.0 m, 0c cm), (x2,y2)=(-5.0 cm, 0 cm) and   (x3,y3)=(0 cm, 5.0 cm) in component form?Enter the xand y components of the electric field in newtons per coulomb separated by a comma.

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A semicircle of radius a is in the first and Figure second quadrants, with the cen- ter of curvature at the origin. Positive charge +Q is distrib- uted uniformly around the left half of the semicircle, and nega- tive charge -Q is distributed uniformly around the right half of the semicircle (Fig. P21.86). What are the magnitude and direction of the net electric field at the origin produced by this distribution of charge? +Q