In this article, is considered an air core transformer. The problem of maximizing the real power on the reciever side is approached through the analysis of the equivalent circuit diagram of the transformer and solving the diagram for the real power in the load. The corresponding function for the power is then maximized by the appropriate choice of the reactive parts of the impedance on both sides.
Inductive coupling coefficient of two coaxial coils is derived. By integration of the magnetic flux over the coil section area are obtained the intrinsic inductance and the mutual inductance of the coils.
In this article, are derived the formulae for the magnetic flux produced by a circular current loop. The derivation is done via integrating the Biot-Savart-Laplace law along the contour of the loop.
In this article, are discussed the complications in feedback control associated with noise. These are demonstrated on a PID controller implemented in C++. Similarly, the undesired effects discussed in the article will appear in advanced control methods such as LQR and LQG.