Chapter 12

The voltage and current dividor

Fondamental : Networks and dipoles

A network is a complex electrical circuit formed of conductive wire and components connected to the outside by two terminals (dipoles).

Dipoles may be placed in series :

Dipoles may be placed in series

Or in parallel (in derivation) :

Dipoles may be placed in parallel

Fondamental : Loop, branch and node

• Node : a network node is an inter-connection point connected to at least three dipoles.

• Branch : a branch is a circuit portion between two nodes. It can include one or more dipoles in series.

• Loop : a loop is a set of branches, forming a closed loop, which passes only once by a given node.

Fondamental : Voltage Divider

The voltage divider is defined in the following figure :

Voltage divider

Tensions and are expressed in terms of the voltage applied across the two resistors placed in series :

Fondamental : Current divider

The current divider is defined in the following figure :

Current divider

Currents and are expressed in terms of current that arrives in the two resistances placed in parallel :

Or :

Conductances are given by :