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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 is the basis of nodal analysis. In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.
Kirchhoff's Current Law: The sum of all currents entering a node is equal to the sum of all currents leaving the node, or the sum of total current at a junction is zero. Kirchhoff's voltage law: The directed sum of the electrical potential differences around a circuit must be zero.
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 ...
A more general technique, called loop analysis (with the corresponding network variables called loop currents) can be applied to any circuit, planar or not [citation needed]. Mesh analysis and loop analysis both make systematic use of Kirchhoff’s voltage law to arrive at a set of equations guaranteed to be solvable if the circuit has a ...
parallel – series (circuits) resistance – conductance; voltage division – current division; impedance – admittance; capacitance – inductance; reactance – susceptance; short circuit – open circuit; Kirchhoff's current law – Kirchhoff's voltage law. KVL and KCL; Thévenin's theorem – Norton's theorem
Kirchhoff's laws, named after Gustav Kirchhoff, may refer to: Kirchhoff's circuit laws in electrical engineering; Kirchhoff's law of thermal radiation; Kirchhoff equations in fluid dynamics; Kirchhoff's three laws of spectroscopy; Kirchhoff's law of thermochemistry; Kirchhoff's theorem about the number of spanning trees in a graph
Effectively the method assumes a linear combination of sinusoids can represent the solution, then balances current and voltage sinusoids to satisfy Kirchhoff's law. The method is commonly used to simulate circuits which include nonlinear elements, [5] and is most applicable to systems with feedback in which limit cycles occur.