Answer to Question #292377 in Physics for physics

Question

Four point charges are equally separated by 1.00 m in air. If q1 = 3.0 nC, q2 = -4.0 nC, q3 = 2.0 nC, and q4 = -5.0 nC, what is the electric field at a point halfway between q2 and q3? show the equation, solution and complete answer.

Answer 1

The electric field at a point halfway between q2 and q3 is

$$E=\dfrac{1}{4\pi\epsilon_0}\bigg(\dfrac{q_1}{(r+r/2)^2}+\dfrac{q_2}{(r/2)^2}-\dfrac{q_3}{(r/2)^2}-\dfrac{q_4}{(r+r/2)^2}\bigg),\\\space\\ E=-183.7\text{ V/m} .$$

The negative sign means that the field points to the left.