- #1

syntroniks

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## Homework Statement

Center a rod of length

**L**at (0,0) with the length going horizontally.

Take a point

**P**at (0,y).

Find the electric field at

**P**.

## Homework Equations

[tex]\lambda[/tex]=Q/L

[tex]E= \int k*dQ/R^{2}[/tex]

## The Attempt at a Solution

I am integrating from -L/2 to L/2

Since Q=lambda*L, I guess differentially dQ=lambda*dL.

Substituting that into the integral, it becomes:

[tex]k*\lambda \int dL/R^{2}[/tex]

from -L/2 to L/2 of course.

R is pretty messy so I'll just write what I came up with for [tex]R^{2}[/tex]:

[tex]R^{2}=(L^{2}/4)+y^{2}[/tex]

So... Doesn't this seem pretty reasonable? I just want to be double sure that this is OK.