Solving Thevenin Circuit Time Constants

In summary, the problem is asking how to find the time constant T in a circuit using the equation V/i = Rth. The key to solving this is to understand how a voltage source can isolate interactions between loops in a circuit. By ignoring the fixed load R2, we can focus on the effects of the controlled source in determining the time constant.
  • #1
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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  • #2
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.
 

FAQ: Solving Thevenin Circuit Time Constants

1. What is a Thevenin circuit?

A Thevenin circuit is a simplified representation of a more complex electrical circuit. It consists of a voltage source in series with a resistor, and is used to analyze the behavior of a circuit under different conditions.

2. How do you calculate the Thevenin voltage and resistance?

The Thevenin voltage (Vth) is found by calculating the open-circuit voltage of the original circuit. The Thevenin resistance (Rth) is found by calculating the equivalent resistance of the original circuit when all voltage sources are replaced by short circuits and all current sources are replaced by open circuits.

3. What are time constants in a Thevenin circuit?

Time constants are used to measure the rate of change of voltage or current in a Thevenin circuit. They are calculated by multiplying the Thevenin resistance by the capacitance or inductance in the circuit.

4. How do you solve for time constants in a Thevenin circuit?

To solve for time constants in a Thevenin circuit, you must first calculate the Thevenin voltage and resistance. Then, use the time constant formula (τ = RthC for capacitors or τ = Rth/L for inductors) to determine the time constant in seconds.

5. Why are time constants important in Thevenin circuit analysis?

Time constants are important in Thevenin circuit analysis because they help predict the behavior of the circuit over time. They can be used to determine the rise and fall times of voltage or current, as well as the charging and discharging rates of components in the circuit.

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