In a two-layer superconducting cable, we numerically investigated the effect of magnetic properties and alignment of the substrates of the tapes on the stress distribution induced by a very high transported electric current. The calculations are carried out for two tapes, with one being on top of the other. Sharp peaks of induced stress very close to the edges of the tapes are observed. When nonmagnetic substrates are used, the stress distributions on the tapes are almost identical, as well as being much lower than those in the cases involving ferromagnetic (FM) substrates. When the tapes are arranged face to face with FM substrates on the outer sides, the stress distribution arisen in the outer tape is considerably higher than that in the inner tape. In contrast, flipping both layers, so that the tapes are back to back, gives rise to a much lower stress over the outer tape than that over the inner tape.

The exact analytical solution of the Schrödinger equation for a generalized symmetrical Woods-Saxon potential are examined for a nucleon in Fluorine 17 nucleus for bound and quasi-bound states in one dimension. The wave functions imply that the nucleon is completely confined within the nucleus, i.e., no decay probability for bound states, while tunneling probabilities arise for the quasi-bound state. We have calculated the temperature dependent Helmholtz free energies, the internal energies, the entropies and the specific heat capacities of the system. It is shown that, when the quasi-bound state is included, the internal energy and entropy increase, while the Helmholtz energy decreases at high temperatures. Very high excitation temperatures imply that the nucleus does not tend to release a nucleon. The calculated quasi bound state energy is in reasonable agreement with the experimental data on the cumulative fission energy issued by IAEA.

This paper presents an analytical projection method for calculating mutual inductance between arbitrarily aligned circular coils in wireless power transfer (WPT) systems. Numerical flux calculations are performed using a novel methodology, taking the wire diameter into account to avoid any mathematical singularity and accurately represent physical reality. One of the coils is fixed whilst the projection of the secondary coil is used to determine the limits of the integration area. The vertical distances of points on the secondary coil are represented by an angle-dependent function $z(\phi)$. We use its projection $dA$ in the primary coil plane instead of the conventional area element in the secondary plane, where the flux is to be evaluated. Moving the integration domain to the projection significantly reduces numerical and analytical complexity, thereby decreasing computational time.