  This is a pedagogical introduction to NRQED, a low enery approximation of QED
which can be made to reproduce QED to an arbitrary precision. It is especially
useful when applied to nonrelativistic bound states. We start by explaining why
QED is so difficult to apply to nr bound states, why NRQED makes it much
simpler and then proceed to do an explicit calculation. We also briefly discuss
what this can teach us about ``new'' physics beyond QED. This is based on a
talk given at the XIV MRST meeting in Toronto.
