Electric Field at Various Points Between Two Charged Rods

[Bogus_Roads]

Homework Statement

Two questions:

One problem asked me to calculate the Electrical Field at points 1 (1cm from the + rod),2 (2 cm from the positive rod), and 3 (3 cm from the positive rod) between a +10 nC rod and a -10 nC rod (in the middle in the vertical direction). I found that positions 1 and 3 were the same, which was whatki I expected, but I thought it was weird that the field in the very center (the rods are 4 cm apart), so at 2 cm from the positively charged rod, the field was LESS than in the other two positions. This seemed counterintuitive. Did I make a mistake?

Homework Equations

E_rod=1/(4pi$$\epsilon$$₀))*$$\left|Q\right|$$/(d*(d²+(L/2)^1/2)

The Attempt at a Solution

 

[Bogus_Roads]

(Epsilon shouldn't be an exponent)

 

[Bogus_Roads]

I'm having trouble putting the correct formula in on my smartphone, so I just mean the standard formula for electricnfield between two charged rods. Can someone please answer?