Circuit with two voltage source,

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Discussion Overview

The discussion revolves around applying Kirchhoff's Voltage Law (KVL) to a circuit containing two voltage sources and how to correctly account for the direction of current and voltage in the equations. Participants express confusion regarding the signs of the terms in their KVL equations and seek clarification on how to approach similar problems in the future.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses confusion over the application of KVL, noting discrepancies between their equation and the book's solution.
  • Another participant suggests that the issue may stem from incorrectly drawing current arrows in the circuit diagram.
  • There is a discussion about how to treat multiple voltage sources in a single loop, with differing opinions on whether to add or subtract the contributions of the sources.
  • One participant mentions that the current flows in the same direction despite the presence of two voltage sources, leading to confusion about the signs in their equations.
  • A later reply indicates that the participant has resolved their confusion independently.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct application of KVL in this scenario, as there are differing interpretations of how to account for the voltage sources and current directions.

Contextual Notes

Participants reference a circuit diagram that is not visible in the discussion, which may limit the clarity of their arguments. The discussion also highlights the importance of correctly identifying current directions and potential differences when applying KVL.

th3plan
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In the picture u can see there are two voltage sources, I am confused one how to apply KVL to this. the book has this problem worked out and they get -12+4i+2v-4+6i=0 but i don't get this , i get this -12+4i+2v-4v-6i=0 and solutions isn't the same, what is my problem? For some reason there getting +6i and I am getting -6i. WHy does this happen. Can someone please explain clearly, how to solve something like this, and for future circuits ?
 

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th3plan said:
In the picture u can see there are two voltage sources, I am confused one how to apply KVL to this. the book has this problem worked out and they get -12+4i+2v-4+6i=0 but i don't get this , i get this -12+4i+2v-4v-6i=0 and solutions isn't the same, what is my problem? For some reason there getting +6i and I am getting -6i. WHy does this happen. Can someone please explain clearly, how to solve something like this, and for future circuits ?

Hi th3plan! :smile:

I can't see the picture yet, but I assume that you've drawn one arrow the wrong way round.

In any circuit problem with more than one loop, you must draw arrows on each straight section (not just one for each loop), and mark each arrow with the (unknown) current, i1, i2 etc.

Then look at every junction on the diagram, and check that KVL I is satisified.​

If you do this for your problem, I'm sure you'll find there's a junction where it isn't. :smile:
 
lets say its going clockwise the current -12+4i+2v-4v-6i=0 , i get this but i don't understand why its wrong the second battery its throwign me off
 
tiny-tim said:
Hi th3plan! :smile:

I can't see the picture yet, but I assume that you've drawn one arrow the wrong way round.

In any circuit problem with more than one loop, you must draw arrows on each straight section (not just one for each loop), and mark each arrow with the (unknown) current, i1, i2 etc.

Then look at every junction on the diagram, and check that KVL I is satisified.​

If you do this for your problem, I'm sure you'll find there's a junction where it isn't. :smile:

Its a 1 loop tim
 
th3plan said:
Its a 1 loop tim

hmm … I suppose I'm just going to have to wait for the diagram … :redface:

I wonder what the 12 is going to be? :smile:
 
I uploaded the circuit again, please explain me why its +6i not -6i, and how do two batteries act on a circuit like this
 

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I can't see your second image yet, so assuming it's the same.
I suggest you actually draw current arrows around the loop.
Yes, even though it is a single loop.

Without the rest of the circuit.
If you have two batteries +(12)-+(4)-, how do they act?
 
th3plan said:
In the picture u can see there are two voltage sources, I am confused one how to apply KVL to this. the book has this problem worked out and they get -12+4i+2v-4+6i=0 but i don't get this , i get this -12+4i+2v-4v-6i=0 and solutions isn't the same, what is my problem? For some reason there getting +6i and I am getting -6i. WHy does this happen. Can someone please explain clearly, how to solve something like this, and for future circuits ?
th3plan said:
I uploaded the circuit again, please explain me why its +6i not -6i

Hi th3plan! :smile:

ok, I can see the first picture now.

It shows three voltages sources (two "facing" one way, and one the other way), and two resistors, all in series.

(btw, why couldn't you have said that? :wink:)

The book multiplies the current, i, by the two resistances, 4 and 6, and adds them: 4i + 6i.

You want to subtract them: 4i - 6i. Why??

The resistances themselves are neutral, and the current, i, is flowing the same way, since, as you pointed out earlier, there's only one loop.

(that's why i assumed there were two loops …*it's the only way to get both i and -i)
, and how do two batteries act on a circuit like this

You just treat them like any other potential difference, in any loop in KVL 2 … if the potential differences are "facing" opposite ways, then of course you subtract them. :smile:
 
im dumb, i figured it out heh
 

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