A finite-element method is applied to analyze the electromagnetic field and loss generation of a soft magnetic thin film on coplanar transmission line for which the dimension of the magnetic film is designed to control the center frequency and bandwidth of the radio-frequency (RF) electromagnetic noise attenuation at gigahertz range without external applied magnetic fields. The coplanar transmission line with characteristic impedance of 50 Omega has total width, width of signal line, and thickness of 400, 50, and 3 mum, respectively. The change of the magnetic field distribution, the induced surface current density on the coplanar transmission line, and hence the RF noise suppression by soft magnetic films are significant as a function of the width (50-2000 mum) and thickness (0.1, 0.3, 0.5, and 1 mum) of the magnetic film.