Mathematical Foundations of Network Analysis pp 138-186 | Cite as

# Kirchhoff’s Third and Fourth Laws

## Abstract

Consider a connected resistive network energized exclusively by current sources or exclusively by voltage sources. In Chapter Seven we have established the existence and uniqueness of a current chain and a voltage chain describing the performance of the network and satisfying Ohm’s Law and Kirchhoff’s Voltage Law and Kirchhoff’s Current Law. However, we pointed out that the formulas developed in Chapter Seven for the current chain and voltage chain are not suitable for specific calculation of the branch currents and the branch voltages. In this Chapter we develop additional formulas for the current chain and voltage chain from which the branch currents and branch voltages may be readily calculated. We conclude this Chapter by showing that these formulas are essentially invariant under changes in the orientation of the branches of the network.

## Keywords

Current Source Voltage Source Preceding Theorem Resistive Network Branch Current## Preview

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## References

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