A three-dimensional calculation of sinusoidally time-varying eddy current problems in nonmagnetic or lightly saturated metallic structures is presented. Variational techniques in conjunction with the three-dimensional finite-element method are used to obtain a numerical solution of the eddy current problem considered. The concept of complex-magnetic-vector potential is utilized in the numerical solution. A solid aluminum bar with a square cross-section and an excitation coil is used as an example. Very good agreement between numerical and experimental data of eddy current losses in the bar are achieved.