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## Homework Statement

Four point charges, two of charge +q and two of charge -q, are placed in an arbitrary way. Each charge is located a distance r_i < R from the origin. Find the electric field at r >= R.

## Homework Equations

According to Gauss's law, the field should be zero, right?

[tex]

\oint \mathbf{E} \cdot \mathbf{dA} = \frac{Q_\text{inside}}{\epsilon_0} = 0 \, .

[/tex]

## The Attempt at a Solution

I'm thinking the electric field should be zero outside any surface that totally encloses the charges. Is this the correct reasoning?