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Reciprocity in electrical networks is a property of a circuit that relates voltages and currents at two points. The reciprocity theorem states that the current at one point in a circuit due to a voltage at a second point is the same as the current at the second point due to the same voltage at the first.
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.
List of free analog and digital electronic circuit simulators, available for Windows, macOS, Linux, and comparing against UC Berkeley SPICE.The following table is split into two groups based on whether it has a graphical visual interface or not.
Generalization of circuit theory based on scalar quantities to vectorial currents is a necessity for newly evolving circuits such as spin circuits. [clarification needed] Generalized circuit variables consist of four components: scalar current and vector spin current in x, y, and z directions. The voltages and currents each become vector ...
There is also an analogous theorem in electrostatics, known as Green's reciprocity, relating the interchange of electric potential and electric charge density. Forms of the reciprocity theorems are used in many electromagnetic applications, such as analyzing electrical networks and antenna systems. [ 1 ]
Since electrical conductance is reciprocal to resistance, the expression for total conductance of a parallel circuit of resistors is simply: = = = + + +. The relations for total conductance and resistance stand in a complementary relationship: the expression for a series connection of resistances is the same as for parallel connection of ...
Stanley's reciprocity theorem for generating functions; Reciprocity (engineering), theorems relating signals and the resulting responses including Reciprocity (electrical networks), a theorem relating voltages and currents in a network; Reciprocity (electromagnetism), theorems relating sources and the resulting fields in classical electromagnetism
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