**Solution :**

Length of the plastic rod , L = 1.6 m

Total charge on the plastic rod , Q = C

The rod is divided into 8 pieces.

a). The length of the 8 pieces is ,

= 0.2 m

b). Location of the center of the piece number 5 is given as : 0 m, -0.09375 m, 0 m.

c). The charge q on the piece number 5 is given as

= C

d). WE approximate that piece 5 as a point charge and we need to find out the field at point A(0.7 m, 0, 0) only due to the charge.

We know, the Coulombs force constant, k =

So the X component of the electric field at the point A is given as

= -126.15 N/C

The Y component of the electric field at the point A is

= -16.93 N/C

Now since the rod and the point A is in the x - y plane, the z component of the field at point A due to the piece 5 will be zero.

∴

Thus,