Circuit Theory/Dependent sources

 


The four types of dependent sources ... the control variable is on the left, the output variable is on the right

Electronic amplifiers use two variables: current and voltage. Either can be used as input, and either as output leading to four types of amplifiers. In idealized form they are represented by each of the four types of dependent source used in linear analysis, as shown in the figure, namely:

InputOutputDependent sourceAmplifier type
IIcurrent controlled current source CCCScurrent amplifier
IVcurrent controlled voltage source CCVStransresistance amplifier
VIvoltage controlled current source VCCStransconductance amplifier
VVvoltage controlled voltage source VCVSvoltage amplifier

Each type of amplifier in its ideal form has an ideal input and output resistance that is the same as that of the corresponding dependent source:[1]

Amplifier typeDependent sourceInput impedanceOutput impedance
CurrentCCCS0
TransresistanceCCVS00
TransconductanceVCCS
VoltageVCVS0

In practice the ideal impedances are only approximated. For any particular circuit, a small-signal analysis often is used to find the impedance actually achieved. A small-signal AC test current Ix is applied to the input or output node, all external sources are set to zero, and the corresponding alternating voltage Vx across the test current source determines the impedance seen at that node as R = Vx / Ix.

  1.  It is a curiosity to note that this table is a "Zwicky box"; in particular, it encompasses all possibilities.



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 Metasyntactic variable, which is released under the 
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