Electronic Circuits concepts and math

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Components can be combined with power and signal supplies to produce desired signals. So knowledge of amplification, logic devices, signal and power sources is assumed. This will study how the three major passive devices such as resistors, capacitors, and inductors, which are covered in the Appendix 1 Components, are combined in certain ways to achieve resonance and how Kirchoff's Voltage Law and Kirchoff's Current Law are valid.

The next step is showing Maxwell's equations that are considered the fundamental source for how electricity, radio, light, infrared, xrays, etcetera work with Kirchoff's Voltage Law and Kirchoff's Current Law. From a standard university physics book, (Young. 1992, pg 919 and the rest of chapter 33) presents Maxwell's Equations as:

$$\begin{array}{c}\oint E\cdot dA=\frac{Q_{\mathit{encl}}}{{\mathrm{ϵ}}_o}\text{Gauss's law for electric field}\\ \oint B\cdot dA=0\text{Gauss's law for magnetic field}\\ \oint B\cdot dl={\mathrm{\mu }}_o(I_c+{\mathrm{ϵ}}_0\frac{d{\mathrm{\Phi }}_o}{\mathit{dt}})\text{Ampere's Law}\\ \oint E\cdot dl=\frac{-d{\mathrm{\Phi }}_B}{\mathit{dt}}\text{Faraday's Law}\end{array}$$

These are moderately difficult integro-differential equations.