Engineering Solving Thevenin Circuit Time Constants

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To find the time constant T in a Thevenin circuit with only dependent sources, one must first determine the Thevenin equivalent circuit. The voltage across the load can be calculated using the relationship V/i = Rth, where Rth is the Thevenin resistance. When dealing with multiple loops, a voltage source can act as a barrier, isolating the loops and allowing for simplifications. In this case, the controlled source dictates the voltage, making the resistor R2 irrelevant for the time constant calculation. Understanding these principles is crucial for accurately solving Thevenin circuit problems.
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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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