Thevenin equivalent resistance problem

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Homework Help Overview

The discussion revolves around finding the Thevenin equivalent resistance (TER) in a circuit analysis problem. Participants are exploring concepts related to circuit theory, specifically Thevenin's theorem, and the application of Kirchhoff's laws.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the method of finding the Thevenin equivalent resistance by removing components and simplifying the circuit. There are questions about the validity of adding resistances in series and parallel configurations.

Discussion Status

Some participants have provided guidance on the approach to take when determining the equivalent resistance, while others are questioning the assumptions made about the configuration of resistors in the circuit. There is an ongoing exploration of different interpretations of the circuit setup.

Contextual Notes

There are indications of confusion regarding the arrangement of resistors and the methods for calculating equivalent resistance, particularly in distinguishing between series and parallel connections. Participants are encouraged to revisit foundational concepts in circuit analysis.

glover261
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Homework Statement



XUot0kO.png

Homework Equations


V=IR

The Attempt at a Solution


[/B]
I found that the current around the circuit was 5mA using kirchhoffs law ( i think)
If this is true then the T.E.V should be the voltage across the 120ohm resistor which is .6V (120*5e-3). Now I'm stuck and not sure how to find the T.E.R, thankyou
 
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glover261 said:

Homework Statement



[ IMG]http://i.imgur.com/XUot0kO.png[/PLAIN]

Homework Equations


V=IR

The Attempt at a Solution



I found that the current around the circuit was 5mA using kirchhoffs law ( i think)
If this is true then the T.E.V should be the voltage across the 120ohm resistor which is .6V (120*5e-3). Now I'm stuck and not sure how to find the T.E.R, thankyou[/B]
Hello glover261. Welcome to PF !

So far, so good.

What have you been taught regarding how to find the Thevenin equivalent resistance ?
 
SammyS said:
Hello glover261. Welcome to PF !

So far, so good.

What have you been taught regarding how to find the Thevenin equivalent resistance ?
Hi thanks, I thought you were supposed to take out all components except resistors in the circuit, current sources by open circuit and voltage sources through short circuit. Then just add up the total resistance of all the resistors, but that method does not seem to work on this problem, as none of the answers are the total resistance.
 
glover261 said:
Hi thanks, I thought you were supposed to take out all components except resistors in the circuit, current sources by open circuit and voltage sources through short circuit. Then just add up the total resistance of all the resistors, but that method does not seem to work on this problem, as none of the answers are the total resistance.
That's not quite right. You don't simply add all the resistances. You find the equivalent resistance across the terminals.
 
glover261 said:
Hi thanks, I thought you were supposed to take out all components except resistors in the circuit, current sources by open circuit and voltage sources through short circuit. Then just add up the total resistance of all the resistors, but that method does not seem to work on this problem, as none of the answers are the total resistance.
Is "adding up the total resistance of all the resistors" really what happens in a circuit? Do parallel resistors add?

EDIT: I see sammy beat me to it.
 
Aren't they all in series though? or am i missing something
 
glover261 said:
Aren't they all in series though? or am i missing something
You must be missing something.

Draw what you have when the voltage source is shorted.

upload_2016-4-17_19-51-1.png
 
glover261 said:
Aren't they all in series though? or am i missing something
Probably be a good idea to go back to basics and study what parallel and series really look like. This is a very common difficulty in beginning study of circuits so it's best to get really solid with it in the beginning.

EDIT: dammit, sammy, you're too fast for me :smile:
 
SammyS said:
You must be missing something.

Draw what you have when the voltage source is shorted.

View attachment 99280

Sorry I still can't see it
 
  • #10
glover261 said:
Sorry I still can't see it
Probably be a good idea to go back to basics and study what parallel and series really look like. This is a very common difficulty in beginning study of circuits so it's best to get really solid with it in the beginning.
 
  • #11
glover261 said:
Sorry I still can't see it
See the terminals?

(phinds beat me this time !)
 
  • #12
SammyS said:
See the terminals?

(phinds beat me this time !)

So, the 180 and 100 resistors are in parallel. So Rt = 1/((1/180)+(1/100)) + 120 = 184 ohms? Is that right because I thought for a pair of components to be in parallel, both sides had to be connected to the same node.
 
  • #13
glover261 said:
So, the 180 and 100 resistors are in parallel. No.

So Rt = 1/((1/180)+(1/100)) + 120 = 184 ohms?

Is that right because

I thought for a pair of components to be in parallel, both sides had to be connected to the same node. This is correct.
See the terminals?
 
  • #14
SammyS said:
See the terminals?

What do they mean?
 
  • #15
glover261 said:
What do they mean?
Find the equivalent resistance across the terminals.

Look at the nodes again.

upload_2016-4-17_20-24-18.png
 
  • #16
There is an alternate way to find the Thevenin resistance.

Take the original circuit, and find the current which flows through a wire which is connected to the two terminals. (This is the short circuit current.)

This is the same current which will flow through the Thevenin equivalent circuit if its terminals are shorted.

In other words, this current times the Thenenin resistance is equal to the Thevenin voltage.
 

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