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## Homework Statement

Consider the following figure.

For the electric dipole shown in the figure, express the magnitude of the resulting electric field as a function of the perpendicular distance x from the center of the dipole axis. (Use the following as necessary: k, q for the charges, x, and d.)

## Homework Equations

E

_{t}= E

_{1}+ E

_{2}

E = k|q|/r

^{2}

## The Attempt at a Solution

The x component of the electric fields will cancel out, leaving only the y-components. Adding the two vector fields in the y-direction:

[k|q|/r

^{2}]sinθ + [k|q|/r

^{2}]sinθ = 2[k|q|/r

^{2}]sinθ

r^2 = [d/2 + x^2]

^{1/2}

My final answer:

2[kq/[d

^{2}/4 + x

^{2}]

^{1/2}]sinθ

This is not correct.

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