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## Homework Statement

A plane z=0 is charged with density, changing periodically according to the law:

σ = σ° sin(αx) sin (βy)

where, σ°, α and β are constants.

We have to find the potential of this system of charges.

## Homework Equations

## The Attempt at a Solution

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I considered it as a plate of dimension l/2 X l/2 whose centre lies at the origin (0,0,0)

Then, I used the formula for the dipole:

d =

**∫∫**(σ° sin(αx) sin (βy)(xy)

**dx dy**and I put the limits -l/2 to l/2 for both x and y.

I feel I may have used the wrong formula for calculating the dipole. I feel kind of stuck. Help anyone?