Surf Wiki
Save to docs
general/power-supplies

From Surf Wiki (app.surf) — the open knowledge base

Dependent source

In the theory of electrical networks, a dependent source is a voltage source or a current source whose value depends on a voltage or current elsewhere in the network.I. D. Mayergoyz, Wes Lawson Basic electric circuit theory: a one-semester text Gulf Professional Publishing, 1996 , Chapter 8 "Dependent sources and operational amplifiers"

Dependent sources are useful, for example, in modeling the behavior of amplifiers. A bipolar junction transistor can be modeled as a dependent current source whose magnitude depends on the magnitude of the current fed into its controlling base terminal. An operational amplifier can be described as a voltage source dependent on the differential input voltage between its input terminals. Practical circuit elements have properties such as finite power capacity, voltage, current, or frequency limits that mean an ideal source is only an approximate model. Accurate modeling of practical devices requires using several idealized elements in combination.

Classification

Dependent sources can be classified as follows:

  • Voltage-controlled voltage source: The source delivers the voltage as per the voltage of the dependent element. V={f_a}({v_x})
  • Voltage-controlled current source: The source delivers the current as per the voltage of the dependent element. I={f_b}({v_x})
  • Current-controlled current source: The source delivers the current as per the current of the dependent element. I={f_c}({i_x})
  • Current-controlled voltage source: The source delivers the voltage as per the current of the dependent element. V={f_d}({i_x})

Dependent sources are not necessarily linear. For example, MOSFET switches can be modeled as a voltage-controlled current source when V_{\rm DS}V_{\rm GS}-V_T and V_{\rm GS}V_T.

However, the relationship between the current flowing through it and V_{\rm DS} is approximately:

:I_{\rm D} = \frac{\mu_n C_{\rm ox}}{2}\frac{W}{L}(V_{\rm GS}-V_{\rm th})^2 \left(1+\lambda (V_{\rm DS}-V_{\rm DSsat})\right).

In this case, the current is not linear to V_{\rm DS}, but rather approximately proportional to the square of V_{\rm DS}-V_T.

As for the case of linear dependent sources, the proportionality constant between dependent and independent variables is dimensionless if they are both currents (or both voltages). A voltage controlled by a current has a proportionality factor expressed in units of resistance (ohms), and this constant is sometimes called "transresistance". A current controlled by a voltage has units of conductance (siemens), and is called "transconductance". Transconductance is a commonly used specification for measuring the performance of field effect transistors and vacuum tubes.

References

Info: Wikipedia Source

This article was imported from Wikipedia and is available under the Creative Commons Attribution-ShareAlike 4.0 License. Content has been adapted to SurfDoc format. Original contributors can be found on the article history page.

power-supplies electrical-power-control
Want to explore this topic further?

Ask Mako anything about Dependent source — get instant answers, deeper analysis, and related topics.

Research with Mako

Free with your Surf account

Content sourced from Wikipedia, available under CC BY-SA 4.0.

This content may have been generated or modified by AI. CloudSurf Software LLC is not responsible for the accuracy, completeness, or reliability of AI-generated content. Always verify important information from primary sources.

Report