Finding Potential Difference Across AB in a Multi-Cell Circuit

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Homework Help Overview

The discussion revolves around finding the potential difference across points A and B in a multi-cell circuit involving multiple voltages and resistances. The problem is situated within the context of circuit analysis, specifically applying Kirchhoff's laws.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Kirchhoff's Current Law (KCL) at node A and the relationships between the currents in the circuit. There are attempts to clarify the values of the electromotive forces (ε1, ε2, ε3) and the resistances involved. Questions arise regarding the setup and the reference point for voltage.

Discussion Status

The discussion is active, with participants seeking clarification on circuit parameters and the application of KCL. Some guidance has been provided regarding the formulation of equations, but there is no explicit consensus on the next steps or the correctness of the initial attempts.

Contextual Notes

There is a lack of clarity regarding the values of the electromotive forces and the reference point for voltage, which may affect the analysis. Participants are also navigating the implications of their assumptions about the circuit setup.

carlyn medona

Homework Statement


Find potential difference across AB

Homework Equations

The Attempt at a Solution


I have posted a picture of my figure, I have 3-i1=v=2-i2=1-i3 and i1+i2+i3= io on solving I got 6-io=3v and then I found resistance equal to 1/3 ohm. So after solving I got v= 1 volt, but it's wrong
 

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How much are ε1 and ε2? It is not clear from your images.
 
E1= 3V E2 =2V and E3 = 1V each resistance = 1 ohm
 
carlyn medona said:
E1= 3V E2 =2V and E3 = 1V each resistance = 1 ohm
Ok.
Let VB=0V (ground reference).

Can you write KCL at point A in terms of VA?
 
Is KCL kirchhoff's current law?
 
carlyn medona said:
Is KCL kirchhoff's current law?
Yes. You want to write the KCL node equation for node A.
 
Io=i1+i2+i3
 
carlyn medona said:
Io=i1+i2+i3
What would i0 be?
How will you write the three currents in terms of VA?
 

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