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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:
Kirchhoff's current law – Kirchhoff's voltage law. KVL and KCL; Thévenin's theorem – Norton's theorem; History
Nodal analysis is essentially a systematic application of Kirchhoff's current law (KCL) for circuit analysis. Similarly, mesh analysis is a systematic application of Kirchhoff's voltage law (KVL). Nodal analysis writes an equation at each electrical node specifying that the branch currents incident at a node must sum to zero (using KCL). The ...
The law is not derived in a way that can be applied to modern circuits. The law is presented as an approximation for slow systems, but modern circuits are not slow. Here is the formal argument. The current in the discussion of Kirchhoff’s law is the flux of charges with mass. Kirchhoff’s law then says that charges do not accumulate.
The Tellegen theorem is applicable to a multitude of network systems. The basic assumptions for the systems are the conservation of flow of extensive quantities (Kirchhoff's current law, KCL) and the uniqueness of the potentials at the network nodes (Kirchhoff's voltage law, KVL).
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A second-order partial differential equation that describes the propagation of electromagnetic waves through a medium or in a vacuum. electromagnetism The science of electric fields, magnetic fields, currents, charges, and forces. electromechanical A system that has both an electrical component and a mechanical component, such as a motor or a ...
Magnetic field (green) induced by a current-carrying wire winding (red) in a magnetic circuit consisting of an iron core C forming a closed loop with two air gaps G in it. In an analogy to an electric circuit, the winding acts analogously to an electric battery, providing the magnetizing field , the core pieces act like wires, and the gaps G act like resistors.