Uniform electric field

Question

Q2 = 2 uC

Q3 = 6 uC

The distance between Q2 and Q3 is 2 meters

Q2 (+) -------------------- Q3 (+)

We add an uniform electric field.

Calculate the vector of this uniform electric field so that the resultant electric field is zero at the midpoint between Q2 and Q3

What I did was:

E2 = K|Q2| / r^2 => k*2E-10 / 1^2 = 18000 N/C

E3 = K|Q3| / r^2 => k*6E-10 / 1^2 = 54000 N/C

E2 - E3 = -36000 N/C

So I guess the resultant electric field is -36000 i

Thank you !

Answer 1

Yes Theodore

Your answer appears to be correct

Assuming a charge of 1 C at mid point of Q2 and Q3

Negative electric field (-36000i N/C) will pull that charge to left , while Q2 and Q3 will push to the right and for 36000 N/m it will be in equilibrium