Find Thevenin Equivalent Resistance for Network

In summary, the conversation is about finding the Thevenin Equivalent resistance for a given network. The person attempted to find the resistance by short circuiting the voltage sources and creating an open loop across the current source, but their calculation of 2.74kOhms was incorrect according to their book. They received a reply asking for their calculations and clarification on which resistors they were referring to.
  • #1
qwerty2x
15
0

Homework Statement




Find the Thevenin Equivalent resistance for the network below:
http://img27.imageshack.us/img27/8508/circuit.png


Homework Equations



R=(1/R1+1/R2)^-1


The Attempt at a Solution



Hi all,

to find the resistance i short circuited the volage sources and created an open loop across the current source. Then it looks like the current will not travel through the uppr loop beacuse its in parallel with a short circuit(where the current will rather go). I concluded that by breaking the circuit at Vo we have R1 and R2 in parallel. Which leaves us with the resistance being 2.7K ohm. but that's incorrect according to my book.

Help appreciated thnks
 
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  • #2
You removed the sources in the correct way, but I'll need to see your calculations if I am going to be able to see your mistake. Can you show your calculations? Also, what do you mean by R_1 and R_2? There are five resistors, not just two.
 
Last edited:
  • #3
thanks for the reply,

resistance=((1/8.3k)+(1/4.1k))^-1 (just 2 resistors in parallel)
so resistance is 2.74kOhms
 
  • #4
The 2 resistors in the top half of the circuit are not in parallel (after removing the current source and shorting the voltage sources).

Note, the resistance is to be calculated across the + and - terminals of Vo.
 

FAQ: Find Thevenin Equivalent Resistance for Network

What is Thevenin Equivalent Resistance and why is it important?

Thevenin Equivalent Resistance is a concept used in electrical circuit analysis to simplify complex networks into a single equivalent circuit, making it easier to analyze and design circuits. It is important because it helps in understanding the behavior of a circuit and predicting its response to different inputs.

How do you find Thevenin Equivalent Resistance for a network?

Thevenin Equivalent Resistance can be found by removing all the voltage and current sources from the network and calculating the equivalent resistance between the two terminals. This can be done by shorting the terminals and calculating the total resistance, which is the Thevenin Equivalent Resistance.

Can Thevenin Equivalent Resistance be used for both DC and AC circuits?

Yes, Thevenin Equivalent Resistance can be used for both DC and AC circuits. However, the values of the equivalent resistance may differ for DC and AC circuits due to the presence of reactive components like capacitors and inductors in AC circuits.

What are the limitations of using Thevenin Equivalent Resistance?

Thevenin Equivalent Resistance is based on the assumption that the network is linear and time-invariant. This means that it may not accurately predict the behavior of non-linear and time-varying circuits. Additionally, it may not be suitable for networks with highly varying or non-linear loads.

How is Thevenin Equivalent Resistance useful in practical applications?

Thevenin Equivalent Resistance is useful in practical applications as it helps in simplifying complex circuits into a single equivalent circuit, making it easier to analyze and design. It also helps in determining the maximum power that can be transferred to a load, and in predicting the behavior of a circuit under different operating conditions.

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