Find the electric field at point C of the given U shaped wire which is uniformly charged with linear charge density `lambda`. [C is the centre of the semi circular section]

Explanation

The electric fields due to the three parts of u shaped wire are shown in the above figure.
`barE_("net") =(Ex_(i) +Ex_(2))i+ (Ey_(1)+Ey_(2)+Ey_(3)) j`
`barE_("net") =((K lambda)/( a)-(Klambda)/( a))i+ ((2Klambda)/( a) -(Klambda)/(a) -(Klambda)/(a))j=0`
Hence electric field due to given arrangement at C = 0.