Complete Question
A 10-cm-long thin glass rod uniformly charged to 8.00 nC and a 10-cm
long thin plastic rod uniformly charged to -8.00 nC are placed side by
side, 4.20 cm apart. What are the electric field strengths E_1 to E_3 at
distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line
connecting the midpoints of the two rods
a.) Specify the electric field strength E1
b.) Specify the electric field strength E2
c.) Specify the electric field strength E3
Answer:


Explanation:
From the question we are told that
The length of the thin glass is 
The charge on the glass rod is 
The length of the plastic rod is 
The charge on the plastic rod is 
The distance between the materials is 
The various distances to obtain electric field of are 


The objective of the solution is to obtain the electric field
at distance
from the glass rod along the line connecting its mid point
Generally electric field of a charge rod at a distance of r the line dividing the rod into half is mathematically represented as

For the
The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

The electric filed by the positively charge glass rod on the right side of the dividing line is mathematically represented as

The net electric field is,


Where k is know as the coulomb's constant with a constant value of




For the
The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

The electric filed by the positively charge glass rod on the right side of the dividing line is mathematically represented as

The net electric field is,


Where k is know as the coulomb's constant with a constant value of



For the
The electric filed by the positively charge glass rod on the left side of the dividing line is mathematically represented as

The electric filed by the positively charge glass rod on the right side of the dividing line is mathematically represented as

The net electric field is,


Where k is know as the coulomb's constant with a constant value of


