Let the x component of the electric field strength at point P with Cartesian co-ordinates (x, y, 0)
E1=4πϵor32pcosθ along PD
E2=4πϵor3psinθ along PC
Net, electric field intensity
E=E12+E22
⇒E=(4πϵor32pcosθ)2+(4πϵor3psinθ)2
⇒E=4πϵor3p4cos2θ+sin2θ
⇒E=4πϵor3p3cos2θ+1
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