- #1

flyingpig

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## Homework Statement

[PLAIN]http://img547.imageshack.us/img547/7932/14207376.png [Broken]

[PLAIN]http://img684.imageshack.us/img684/719/75458442.png [Broken]

[PLAIN]http://img88.imageshack.us/img88/4883/55224430.png [Broken]

Assume [tex]q_{1}=q_{2}=q_{3}[/tex] and that all charges are positive.

## The Attempt at a Solution

*if someone could, please tell me the proper code for vectors, because I am having trouble

For the first of the problem

[tex]\vec{E_{1}} = \vec{E_{21}}[/tex]

Since it sort of just "sits in space", I put q_{2} on the origin.

So [tex]\vec{E_{21}} = <0, k\frac{q_2}{d^2}> [/tex] and the magnitude should simply be [tex]k\frac{q_2}{d^2}[/tex].

For the second part

[tex]\vec{E_{1}} = \vec{E_{21}} + \vec{E_{31}}[/tex]

[tex]\vec{E_{31}} = k\frac{q_{3}}{d^2}<-\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}>[/tex]

Since [tex]\vec{E_{21}} = <0, k\frac{q_2}{d^2}>[/tex]

Then the sum would be [tex]\vec{E_{1}}= \frac{k}{d^2}<-q_{3}\frac{\sqrt{2}}{2}, q_{3}\frac{\sqrt{2}}{2} + q_{2}>[/tex]

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