Solving Thevenin Circuit Time Constants

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SUMMARY

The discussion focuses on finding the time constant T in a Thevenin circuit that contains only dependent sources. The key equation used is V/i = Rth, which relates voltage, current, and Thevenin resistance. A crucial insight provided is that when a voltage source separates two loops, it acts as a barrier, allowing the controlled source to dictate the voltage independently of other components, such as R2, which can be ignored in this context.

PREREQUISITES
  • Understanding of Thevenin's Theorem
  • Familiarity with dependent and independent sources in circuits
  • Knowledge of circuit analysis techniques
  • Basic grasp of time constants in electrical circuits
NEXT STEPS
  • Study Thevenin equivalent circuits with dependent sources
  • Learn about circuit loop analysis techniques
  • Explore time constant calculations in RLC circuits
  • Review controlled sources and their impact on circuit behavior
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing complex circuits with dependent sources.

Yammy
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Homework Statement



Find time constant T.

Homework Equations



V/i = Rth

The Attempt at a Solution


Not sure how to do it.
 

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Yammy said:

Homework Statement



Find time constant T.

Homework Equations



V/i = Rth

The Attempt at a Solution


Not sure how to do it.

Well, what's the procedure for finding a Thevenin equivalent when the network in question contains no independent sources, just dependent ones?

I'll give away one hint: A voltage source bordering two loops effectively presents a barrier between the loops. The controlled source that separates the two loops in this problem isolates interactions between the loops by anything except that source.

In other words, you can ignore R2 entirely since the controlled source will produce whatever voltage it is called to produce regardless of load, and R2 is just a fixed load.
 

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