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  2. RLC circuit - Wikipedia

    en.wikipedia.org/wiki/RLC_circuit

    Series RL, parallel C circuit with resistance in series with the inductor is the standard model for a self-resonant inductor A series resistor with the inductor in a parallel LC circuit as shown in Figure 4 is a topology commonly encountered where there is a need to take into account the resistance of the coil winding and its self-capacitance.

  3. Mathematical methods in electronics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_methods_in...

    Differential Equations: Applied to model and analyze the behavior of circuits over time. Used in the study of filters, oscillators, and transient responses of circuits. Complex Numbers and Complex Analysis: Important for circuit analysis and impedance calculations. Used in signal processing and to solve problems involving sinusoidal signals.

  4. Millman's theorem - Wikipedia

    en.wikipedia.org/wiki/Millman's_theorem

    In electrical engineering, Millman's theorem [1] (or the parallel generator theorem) is a method to simplify the solution of a circuit. Specifically, Millman's theorem is used to compute the voltage at the ends of a circuit made up of only branches in parallel. It is named after Jacob Millman, who proved the theorem.

  5. Network analysis (electrical circuits) - Wikipedia

    en.wikipedia.org/wiki/Network_analysis...

    Simulation-based methods for time-based network analysis solve a circuit that is posed as an initial value problem (IVP). That is, the values of the components with memories (for example, the voltages on capacitors and currents through inductors) are given at an initial point of time t 0 , and the analysis is done for the time t 0 ≤ t ≤ t f ...

  6. Diode modelling - Wikipedia

    en.wikipedia.org/wiki/Diode_modelling

    To illustrate the complications in using this law, consider the problem of finding the voltage across the diode in Figure 1. Figure 1: Diode circuit with resistive load. Because the current flowing through the diode is the same as the current throughout the entire circuit, we can lay down another equation.

  7. Foster's reactance theorem - Wikipedia

    en.wikipedia.org/wiki/Foster's_reactance_theorem

    Foster's second form of driving point impedance consists of a number of parallel connected series LC circuits. The realisation of the driving point impedance is by no means unique. Foster's realisation has the advantage that the poles and/or zeroes are directly associated with a particular resonant circuit, but there are many other realisations.

  8. Hertz vector - Wikipedia

    en.wikipedia.org/wiki/Hertz_vector

    Hertz vectors can be advantageous when solving for the electric and magnetic fields in certain scenarios, as they provide an alternative way to define the scalar potential and the vector potential which are used to find the fields as is commonly done.

  9. Kirchhoff's circuit laws - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_circuit_laws

    The current entering any junction is equal to the current leaving that junction. i 2 + i 3 = i 1 + i 4. This law, also called Kirchhoff's first law, or Kirchhoff's junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently: