A certain electric dipole consists of charges + and − separated by distance , oriented along the -axis as shown in the figure. Find an expression for the magnitude of the electric field of the dipole at a point far away in the -direction, a distance away from the midpoint of the dipole. Assume that is much greater than . Enter your answer in terms of , , , and 0. I've seen one other post about this question but the answer is wrong. I'd really appreciate help on this.

Hi there!

Let's say we have a point 'p' placed at a distance 'r' away from the origin, where r > > d.

The electric field from the +q charge will point towards the top-right, while the electric field from the negative chart will point towards the bottom-right.

Since both charges are of the same magnitude, the y-components will cancel out. We must solve for the x-component of the electric field.

We can begin by deriving an equation for the electric field.

We are solving for E in the x-direction, so:

Substitute in the above, and:

Calculate Ex for one charge:

Simplify:

There are two charges, so:

To find the field if r > > d, we can begin by factoring out r² from inside the parenthesis:

Terms with d/r go to 0, so:

So:

**We can also think of this situation as d ≈ 0. As the 'r' increases and becomes MUCH greater than 'd', the charges appear to be right next to one another (d ≈ 0). If we plug in d = 0 into our equation:

be subject to a force andchange its motion

i think it's 35 meters