Calculating Thevenin's Equivalent for a Circuit

  • Thread starter Thread starter TheRedDevil18
  • Start date Start date
  • Tags Tags
    Equivalent
Click For Summary

Discussion Overview

The discussion revolves around calculating Thevenin's equivalent for a given circuit, focusing on determining the Thevenin resistance (Rth) and Thevenin voltage (Vth). Participants explore various methods and calculations, including the application of KVL, current divider rules, and superposition.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant calculates Rth as 750 ohms and Vth as 2.3V, but questions the accuracy of their results based on current measurements through a load resistor.
  • Another participant agrees with the Rth calculation but challenges the Vth calculation, suggesting that current flows through multiple resistors.
  • Further discussion includes the need to find the current through the 750 ohm resistor to determine the voltage at the terminals accurately.
  • One participant proposes a different method for calculating equivalent resistance, resulting in a value of 843.75 ohms, and calculates Vth as 3.075V.
  • Another participant rearranges the circuit and calculates a different equivalent resistance and Vth, arriving at 5.57V, expressing uncertainty about the correctness of their calculations.
  • Participants suggest checking the application of the current divider rule, with one acknowledging a mistake in their calculations that leads to a revised Vth of 4.61V.
  • One participant introduces the superposition method as a potential solution for calculating Thevenin equivalents, indicating it may simplify the process.

Areas of Agreement / Disagreement

Participants express differing views on the correct method and calculations for determining Vth, with no consensus reached on the final values. Multiple competing approaches and results are presented throughout the discussion.

Contextual Notes

Participants' calculations depend on specific circuit configurations and assumptions about current flow through resistors, which may not be universally agreed upon. Some calculations are based on rearranged circuit diagrams, leading to different equivalent resistance values.

TheRedDevil18
Messages
406
Reaction score
2

Homework Statement


Solve the thevenins equivalent of the circuit
Thevinin.jpg


Homework Equations

The Attempt at a Solution



I think this is wrong but I got 750 ohms for my Rthevinin and 2.3V for my Vthevinin. I checked using KVL with the load resistor set to 500 ohms and get a current of 0.0037A through the 500 ohm resistor but when I use the thevinins circuit I get a current of 0.0018A

This is how I got Rth,
Short the Voltage source, so the 750 is in parallel with the 1500 which is equivalent to 500 ohm resistor in series with the 1000 ohm to give a 1500 ohm in parallel with the second 1500 ohm to give my Rth of 750 ohms

This is how I got Vth,
Replacing the voltage source I see that the 1500(one connected in the separate branch) and 1000 ohm resistors have no current flowing through them. That leaves just the 1500 and 750 in series with the voltage source. So the voltage across the terminals would equal to the voltage in the 750 ohm resistor which works out to be 2.3V = Vth

Can someone please tell me what I'm doing wrong ?, thanks
 
Physics news on Phys.org
Your Rth method and result look fine, but your Vth method and result are not: There will be a current through the upper 1500 Ω and the 1000 Ω resistors.
 
gneill said:
Your Rth method and result look fine, but your Vth method and result are not: There will be a current through the upper 1500 Ω and the 1000 Ω resistors.

If the current is flowing through all the resistors then is the voltage at the terminals measuring the voltage across the 750 ohm resistor only ?, so do I have to find the current flowing through the 750 ohm resistor and from their the voltage ?
 
TheRedDevil18 said:
If the current is flowing through all the resistors then is the voltage at the terminals measuring the voltage across the 750 ohm resistor only ?, so do I have to find the current flowing through the 750 ohm resistor and from their the voltage ?
The voltage at the Out terminal will be the sum of the voltages across the 750 and 1000 Ohm resistors.
 
gneill said:
The voltage at the Out terminal will be the sum of the voltages across the 750 and 1000 Ohm resistors.

I still don't think I'm getting the correct answer

I worked out the equivalent resistance by taking the 750 in parallel with the 1000 ohm resistor and added that to the 1500 ohm in series to get 1928.57 ohms which is in parallel with the 1500 ohm (branched one) to get an equivalent resistance of 843.75 ohms. I then worked out the total current to be 0.0083A(7/843.75).

I then used the current divider rules to work out the current in the 1000 ohm and 750 ohm resistors which I got to be 0.0021A(750 ohm) and 0.0015A(1000 ohm). I then worked out the voltages using ohms law to get 1.575 and 1.5 volts. Summing them I get Vth = 3.075V

Don't think I'm doing this correctly, need some help, thanks
 
I don't see how the 750 and 1000 Ohms resistors can be taken to be parallel.

Let's rearrange the circuit diagram a bit to (hopefully) make things easier to see:

Fig1.gif
 
gneill said:
I don't see how the 750 and 1000 Ohms resistors can be taken to be parallel.

Let's rearrange the circuit diagram a bit to (hopefully) make things easier to see:

View attachment 81462

If I try it this way, then working out the equivalent resistance

1500 + 1000 = 2500 ohms, which is in parallel to the 1500 ohm resistor. Working the parallel combination I get 937.5 ohms + the 750 ohm in series I get Req = 1687.5 ohms. So the total current would be I = 7/1687.5 = 0.0041A. Using the current divider rule I get I2 and hence the current in the 1000 ohm resistor to be 0.0041*1500/2500 = 0.0025A and the current in the 750 ohm resistor would equal the total current which is 0.0041A. So the voltage in the 1000 ohm resistor = 0.0025*1000 = 2.49V and the voltage in the 750 ohm resistor = 0.0041*750 = 3.075V. Adding the two I get Vth = 5.57V

Not sure if that's correct but it still doesn't agree with the current I got using KVL. I know Vth should be 4.63V but I'm not sure how
 
TheRedDevil18 said:
I still don't think I'm getting the correct answer

I worked out the equivalent resistance by taking the 750 in parallel with the 1000 ohm resistor and added that to the 1500 ohm in series to get 1928.57 ohms which is in parallel with the 1500 ohm (branched one) to get an equivalent resistance of 843.75 ohms. I then worked out the total current to be 0.0083A(7/843.75).

I then used the current divider rules to work out the current in the 1000 ohm and 750 ohm resistors which I got to be 0.0021A(750 ohm) and 0.0015A(1000 ohm). I then worked out the voltages using ohms law to get 1.575 and 1.5 volts. Summing them I get Vth = 3.075V

Don't think I'm doing this correctly, need some help, thanks
 
TheRedDevil18 said:
Using the current divider rule I get I2 and hence the current in the 1000 ohm resistor to be 0.0041*1500/2500 = 0.0025A
You want to check the details of how to apply the current divider rule.
 
  • #10
The easiest way to solve this is by superposition.

Create the first Thevenin equivalent from the 1500 and 750 resistors in lower left sub-circuit.
Create the second Thevenin equiv from the 1500 Ohm resistor at the top.
Now by superposition, connect the two Thevenin equivalents to the Output terminal.
From this simple circuit it is easy to calculate the Thevenin voltage and resistance.
 
  • #11
DannySmythe said:
The easiest way to solve this is by superposition.

Create the first Thevenin equivalent from the 1500 and 750 resistors in lower left sub-circuit.
Create the second Thevenin equiv from the 1500 Ohm resistor at the top.
Now by superposition, connect the two Thevenin equivalents to the Output terminal.
From this simple circuit it is easy to calculate the Thevenin voltage and resistance.

Thanks, I will look into that method
 
  • #12
gneill said:
You want to check the details of how to apply the current divider rule.

Oh yes, sorry mistake that should be 0.0041*1500/4000. I now get what should be the correct answer of Vth = 4.61V

Thanks gneill :smile:
 
  • #13
TheRedDevil18 said:
Oh yes, sorry mistake that should be 0.0041*1500/4000. I now get what should be the correct answer of Vth = 4.61V

Thanks gneill :smile:
Looks good to me.
 

Similar threads

Thevenin Equivalent : Wrong value for Rth
  • · Replies 7 ·
Replies
7
Views
3K
Engineering How do I find Vth with the node voltage method?
  • · Replies 10 ·
Replies
10
Views
4K
Analyze this circuit with 2 sources and 4 resistors
  • · Replies 37 ·
2
Replies
37
Views
6K
Engineering LR circuit current calculation
  • · Replies 2 ·
Replies
2
Views
877
Engineering Find the Thevenin equivalent circuit
  • · Replies 42 ·
2
Replies
42
Views
7K
Engineering Create a circuit in simulation to prove my work (2 batteries and 1 lamp bulb)
  • · Replies 5 ·
Replies
5
Views
2K
Engineering Find Current Through 40 Ohms Resistor Using Thevenin
  • · Replies 8 ·
Replies
8
Views
2K
Thevenin Theorum
  • · Replies 1 ·
Replies
1
Views
2K
Engineering Why is the voltage source high potential into node 1 at -12 V in this op amp problem?
  • · Replies 15 ·
Replies
15
Views
3K
Engineering Finding the Thevenin Equivalent Circuit for a Network with a Load Resistor
  • · Replies 1 ·
Replies
1
Views
2K