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## Homework Statement

Hi,

This is supposed to be simple, so I guess I miss something..

We have charge q at x

_{1}=d*cos (w*t), y=0, z=0. and charge -q at

x

_{2}=-d*cos (w*t), y=0, z=0. I need to do fourier transform to the charge density.

## Homework Equations

The fourier transform is : [itex]\rho_{\omega} = \int \rho (r,t)e^{i\omega t} dt [/itex]

## The Attempt at a Solution

I first try only for the first charge. We have [itex]\rho (r,t) = \delta(x-d\cdot cos (\omega t))\cdot\delta(y)\cdot\delta(z) [/itex]

But I don't know how to do the intergral :

[itex]\rho_{\omega} = \int \delta(x-d\cdot cos (\omega t))\cdot\delta(y)\cdot\delta(z)e^{i\omega t} dt [/itex]

Any ideas? Do I really need to do this integral?