The aim of this paper is to derive an analytical equations for the temperature dependent optimum winding size of inductors conducting high frequency ac sinusoidal currents. Derived analytical equations are useful designing tool for research and development engineers because windings made of foil, square-wire, and solid-round-wire windings are considered. Temperature dependent Dowell’s equation for the ac-to-dc winding resistance ratio is given and approximated. Thermally dependent analytical equations for the optimum foil thickness, as well as valley thickness and diameter of the square-wire and solid-round-wire windings are derived from approximated thermally dependent ac-to-dc winding resistance ratios. Minimum winding ac resistance of the foil winding and local minimum of the winding ac resistance of the solid-round-wire winding are verified with Maxwell 3D Finite Element Method simulations.

Detailed investigation of the effect of the number of end-panel studs on the seismic properties of light-steel shear-panel braces in cold-formed steel frames and in particular the associated response modifi cation coeffi cients (R) factor, are presented in this paper. A total of 6 full-scale 1200×2400 mm specimens are considered, and the responses investigated under a standard cyclic loading regime. Of particular interest are the specimens’ maximum lateral load capacity and deformation behavior as well as a rational estimation of the seismic response modifi cation factor. The study also looks at the failure modes of the system and investigates the main factors contributing to the ductile response of the tested shear-panel braces in order to suggest improvements so that braces respond plastically with a signifi cant drift and without any risk of brittle failure, such as connection failure or stud buckling.

The influence of St. Augustine on the development of western latin theological thinking is significant. In many ways, he also influenced thinking of counter-reformation and reformation theologians, mainly Martin Luther. Martin Luther quotes the passage of the 80th homily on the Gospel of John in the third paragraph of the Smalcald Articles. Therefore, it is certain that Augustine influenced the understanding of baptism, mainly the relation between faith and word during administration of the sacrament of baptism. The aim of our study is to offer theological analysis of the 80th homily on the Gospel of John mentioned above in the context of Augustine´s thinking. It is a short dictated text written by the theologian of Hippo in 419-423 where he explains the Gospel of John 15, 1-5 word by word. Reformation, counter-reformation and post-Trentian theologians used to refer to the third paragraph of the 80th homily too often and their interpretation was influenced by their position, whether they were on the side of Catholics or Protestants. It is interesting that although the text was often quoted, there were only several studies that dealt with it in a professional way. Augustine´s homily reflects the spiritual wealth of the battle with donatism (the role of administrator and recipient of the sacrament of baptism) and pelagianism (baptism of children). In this study, we point to the fact that it is a commentary on the Sacred Scripture, therefore we analyse the homily as a whole. The study also includes the first complete translation of the homily into Slovak language.