dq=pds [P=LINEAR CHARGE DENSITY]
dE=p *ds*sin θ/4ΠεR^2
dE=p*dθ*sinθ/4ΠεR
∫dE =(p/4ΠεR )*∫sinθ dθ [lower limit=0°
upper limit=180°]
E=2p/4ΠεR THIS IS FOR THE
UPPER SEMICIRCULAR PORTION IN THE DOWNWARD DIRECTION.
SIMILARLY FOR THE LOWER PORTION E=2p/4ΠεR IN THE DOWNWARD DIRECTION
HENCE NET ELECTRIC FIELD E=4p/4ΠεR