(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.)

2. Relevant equations

E_{t}= E_{1}+ E_{2}

E = k|q|/r^{2}

3. 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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# Electric Field Due to Dipole Problem

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