## Posts Tagged ‘**Kirchhoff**’

## Kirchhoff voltage law corrected for radiating circuits

**Vitor Lara, Kaled Dechoum**

When a circular loop composed by a RLC is put to oscillate, the oscillation will eventually vanish in an exponentially decaying current, even considering superconducting wires, due to the emission of electric and magnetic dipole radiation.

In this work we propose a modification on the Kirchhoff voltage law by adding the radiative contributions to the energy loss as an effective resistance, whose value is relatively small when compared to typical resistance value, but fundamental to describe correctly real circuits.

We have also analysed the change in the pattern of the radiation spectra emitted by the circuit as we vary both the effective and electrical resistance…

… read more at http://arxiv.org/pdf/1410.0618v1.pdf

## Experimental determination of circuit equations

**Jason Shulman, Frank Malatino, Matthew Widjaja, Gemunu H. Gunaratne**

Kirchhoff’s laws offer a general, straightforward approach to circuit analysis.

Unfortunately, use of the laws becomes impractical for all but the simplest of circuits. This work presents a novel method of analyzing direct current resistor circuits.

It is based on an approach developed to model complex networks, making it appropriate for use on large, complicated circuits. It is unique in that it is not an analytic method.

It is based on experiment, yet the approach produces the same circuit equations obtained by more traditional means.

Read more at http://arxiv.org/pdf/1309.4848v1.pdf