Radiation damping generates surprising new features in two-dimensional and spin-echo experiments. The theoretical interpretation of the unexpected results has led to some controversy. The purpose of the present paper is to show, by computer simulations, that the experimental results can be completely understood by describing radiation damping through a classical magnetic held caused by the current induced in the sample coil (resonantly enhanced by the high quality factor of the tuned circuit), and acting back on the spins. We examine a variety of two-dimensional and "multiple quantum" experiments in homogeneous fields, and spin-echo experiments in a fixed field gradient (with and without molecular diffusion).