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  2. Series and parallel circuits - Wikipedia

    en.wikipedia.org/wiki/Series_and_parallel_circuits

    In a series circuit, the current that flows through each of the components is the same, and the voltage across the circuit is the sum of the individual voltage drops across each component. [1] In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents flowing through each ...

  3. Parallel (operator) - Wikipedia

    en.wikipedia.org/wiki/Parallel_(operator)

    The parallel operator ‖ (pronounced "parallel", [1] following the parallel lines notation from geometry; [2] [3] also known as reduced sum, parallel sum or parallel addition) is a binary operation which is used as a shorthand in electrical engineering, [4] [5] [6] [nb 1] but is also used in kinetics, fluid mechanics and financial mathematics.

  4. 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.

  5. Network analysis (electrical circuits) - Wikipedia

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

    Most analysis methods calculate the voltage and current values for static networks, which are circuits consisting of memoryless components only but have difficulties with complex dynamic networks. In general, the equations that describe the behaviour of a dynamic circuit are in the form of a differential-algebraic system of equations (DAEs).

  6. Series–parallel graph - Wikipedia

    en.wikipedia.org/wiki/Series–parallel_graph

    Definition 1. Finally, a graph is called series–parallel (SP-graph), if it is a TTSPG when some two of its vertices are regarded as source and sink. In a similar way one may define series–parallel digraphs, constructed from copies of single-arc graphs, with arcs directed from the source to the sink.

  7. 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.

  8. Parallel - Wikipedia

    en.wikipedia.org/wiki/Parallel

    Parallel (geometry), two lines in the Euclidean plane which never intersect Parallel (operator) , mathematical operation named after the composition of electrical resistance in parallel circuits Science and engineering

  9. RLC circuit - Wikipedia

    en.wikipedia.org/wiki/RLC_circuit

    The tuning application, for instance, is an example of band-pass filtering. The RLC filter is described as a second-order circuit, meaning that any voltage or current in the circuit can be described by a second-order differential equation in circuit analysis. The three circuit elements, R, L and C, can be combined in a number of different ...