Finding Potential Difference Across AB in a Multi-Cell Circuit

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The discussion focuses on calculating the potential difference across points A and B in a multi-cell circuit using Kirchhoff's laws. The user initially attempted to solve the circuit but arrived at an incorrect potential of 1 volt. Key parameters include three voltage sources (E1 = 3V, E2 = 2V, E3 = 1V) and resistances of 1 ohm each. Participants emphasize the importance of applying Kirchhoff's Current Law (KCL) at node A to express the currents in terms of the voltage at that node. Clarifying the equations and relationships between the currents is crucial for finding the correct potential difference.
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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