Potential at a point in a circuit

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Homework Help Overview

The discussion revolves around understanding the potential at a point in a circuit, specifically at point X, and the application of the potential divider principle in relation to resistances in the circuit. Participants are examining the implications of current flow direction and how it affects potential measurements.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the rationale behind using specific resistances in the potential divider formula and discussing the conventions of current flow versus electron flow. There are also inquiries about how to approach potential calculations with conflicting battery directions.

Discussion Status

The conversation is active, with participants sharing insights and clarifying concepts related to potential measurements. Some guidance has been offered regarding the interpretation of current flow and how it relates to potential differences, though multiple interpretations are still being explored.

Contextual Notes

There are mentions of potential confusion regarding the units used in the circuit and the need to clarify the direction of measurement when assessing potential differences. Participants are also navigating the implications of conflicting battery directions in their calculations.

vadevalor
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Why is the potential at X , denoted by V, not

V/8 = 4.8/(4.8+7.6) ? Why is numerator of resistance part 7.6 and not 4.8 by potential divider principle?
 
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hi vadevalor! :smile:

conventionally, the current flows from the positive terminal (long line) to the negative terminal (short line)

(the electrons, of course go the other way, towards the positive!)

so the short line is at zero potential, and you have to start from the short line to get to X to find the potential at X, ie the potential difference from zero

(see eg "Electric Potential Diagrams" at http://www.physicsclassroom.com/class/circuits/u9l1c.cfm)

ie you go through the 7.6Ω, so 7.6 is in the numerator :wink:
 
The values 4.8V and 1.6V shown on the circuit diagram are misleading. Should not the unit be Ω instead of V?

The equivalent circuit is a voltage supply of 8V connected to 4.8Ω in series with 7.6Ω as shown correctly in your diagram.

Hence 8V is the voltage on (4.8 + 7.6)Ω.

And the voltage on 4.8Ω can be found be using direct proportion.
 
Thank you all for your inputs! I realized its the direction after thinking for so long. And yea it should be ohm instead of v.

I have another question regarding potential could you guys help me? Answer is A but i don't understand the solution as there are 'conflicting battery direction' and i don't know how to start

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Thanks!
- curious lost soul
 
hi vadevalor! :smile:
vadevalor said:
Answer is A but i don't understand the solution as there are 'conflicting battery direction' and i don't know how to start

start by replacing the three batteries by one 3V battery …

what is the potential at Y? and where is that measured from?

and now adjust that to start from X instead :wink:
 
tiny-tim said:
hi vadevalor! :smile:start by replacing the three batteries by one 3V battery …

what is the potential at Y? and where is that measured from?

and now adjust that to start from X instead :wink:

Should i put the 3v battery to the right or left of X and should i go from + terminal to -terminal from X to Y like current flow or electron flow?

Smiles :D
 
hi vadevalor! :smile:
vadevalor said:
Should i put the 3v battery to the right or left of X and should i go from + terminal to -terminal from X to Y like current flow or electron flow?

Smiles :D

you must always always ALWAYS use current flow not electron flow!

X is somewhere in the middle of the 3V battery, isn't it? :wink:
 
tiny-tim said:
hi vadevalor! :smile:you must always always ALWAYS use current flow not electron flow!

X is somewhere in the middle of the 3V battery, isn't it? :wink:

ImageUploadedByTapatalk1379593167.784346.jpg


Think i got it! Yes! So its 2-1.5= 0.5v following current direction. But when do i know to use current or electron flow direction? Above for potential divider i was told to look at electron flow
 
yes, i like your diagram …

you've split the batteries into two: a 2V and a 2 minus 1 = 1V battery going the same way,

so it's easy to see whether to add or subtract :smile:
vadevalor said:
Above for potential divider i was told to look at electron flow

i don't understand that :redface:

it's always current flow​

what exactly did they say? :confused:
 
  • #10
tiny-tim said:
hi vadevalor! :smile:

conventionally, the current flows from the positive terminal (long line) to the negative terminal (short line)

(the electrons, of course go the other way, towards the positive!)

so the short line is at zero potential, and you have to start from the short line to get to X to find the potential at X, ie the potential difference from zero

(see eg "Electric Potential Diagrams" at http://www.physicsclassroom.com/class/circuits/u9l1c.cfm)

ie you go through the 7.6Ω, so 7.6 is in the numerator :wink:

Its the third paragraph from your first answer :) starting from the short line (electron flow direction)
 
  • #11
vadevalor said:
Its the third paragraph from your first answer :) starting from the short line (electron flow direction)

ah, i see, you're interpreting the flow direction as the direction for measuring the potential

no, the flow direction (= the current direction) is the direction the charge is moving (which we assume is a positive charge, so the opposite of the electron flow direction)

since the charge moves from high to low potential, the potential decreases as the charge moves, so the potential difference is measured in the opposite direction:

ie we use a positive charge (ie not an electron), and so it will flow outside the battery from the long line (+ve) to the short line (-ve), and the potential will be highest at the long line, and decrease to zero at the short line :wink:
 

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