A new theoretical method for determining the electric field or the eddy current induced by a uniform RF magnetic field or a beam of RF magnetic field in a biological body of rotational symmetry is presented. The body is subdivided into a number of circular rings with various radii and cross-sectional areas. The induced electric field or eddy current in each ring is then numerically determined on the basis of the theory of vector potential and the moment method. Numerical examples are given, and the results based on the present theory are found to deviate significantly from the often used, quasi-static solutions. An experiment was conducted to measure the electric fields induced by a UHF magnetic field in phantom biological models. The theory was verified by the experiment and the existing theoretical results.