### Abstract

Linear-lumped circuits containing capacitors and/or inductors are described by differential equations. In computer-aided circuit analysis, these equations are discretized in time, thus being reduced to approximate formulas involving samples of voltages and currents. It is shown that these relations can be interpreted as exact equations for networks containing transmission lines. Hence, some features of the approximate formulas gain a clear physical interpretation. In particular, convergence and energy balance properties of the formulas become obvious, confirming advantages of the trapezoidal rule over all other formulas.

Original language | English (US) |
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Pages (from-to) | 479-482 |

Number of pages | 4 |

Journal | IEEE Transactions on Microwave Theory and Techniques |

Volume | 44 |

Issue number | 3 |

DOIs | |

State | Published - 1996 |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*IEEE Transactions on Microwave Theory and Techniques*,

*44*(3), 479-482. https://doi.org/10.1109/22.486163