# Dependent Current Source

A dependent current source establishes a current, which is independent of the voltage across it, that is determined by the voltage or current at some other location in the electrical system. There are two types of dependent current source Â â€“ Â the Â voltage controlled Â current Â source Â (VCCS) Â and Â the Â currentÂ controlled current source (CCCS).

These Â sources Â are Â mathematical Â models Â that Â are Â useful Â in Â modelling Â real circuits and systems, e.g. they are used in modelling transistors.

Example:

Consider the circuit shown below. In this circuit the value of the dependentÂ current source is specified by a voltage â€“ it is a VCCS.

To solve for v, we apply KCL and obtain:

i1 +Â i2 Â =Â 4v +Â 2

Thus:

and this is the value of the dependent current source, in amperes. The otherÂ variables in the circuit are:

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