Finding potential difference in a circuit

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SUMMARY

The discussion focuses on calculating potential differences in an electrical circuit using Kirchhoff's laws. The currents were determined as 7/12 A from A to B, 5/36 A from F to C, and 13/18 A from D to E. The voltage VBF is defined as the potential difference from point B to point F, calculated as VBF = I1 × R1 - ε1 = (7/12) × 4 - 1.5 = 5/6 V, which is confirmed correct. It is established that VBF equals VB - VF, and points B and C, as well as B and D, share the same potential, allowing verification of voltage calculations across resistors R2 and R3.

PREREQUISITES

  • Kirchhoff's Voltage and Current Laws
  • Electrical circuit analysis with resistors and electromotive force (ε)
  • Understanding of potential difference and voltage notation (e.g., VBF, VCF)
  • Basic algebraic manipulation of circuit equations

NEXT STEPS

  • Study Kirchhoff's Laws application in multi-loop circuits
  • Practice calculating potential differences using resistor voltage drops and EMFs
  • Explore node voltage analysis techniques for complex circuits
  • Learn verification methods for circuit potentials using equivalent points (e.g., B and C, B and D)

USEFUL FOR

Electrical engineering students, physics learners, and anyone working on circuit analysis problems involving Kirchhoff's laws and potential difference calculations.

songoku
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Homework Statement
Please see below
Relevant Equations
Kirchhoff Law
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I have found part (a):
current on the left is 7/12 A from A to B
current on the middle is 5/36 A from F to C
current on the right is 13/18 A from D to E

For part (b), what is the meaning of VBF? Is it VB - VF or VF - VB?

My attempt is:
VBF = I1 x R1 - ε1 = 7/12 x 4 - 1.5 = 5/6 V

Is it correct?

Thanks
 
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songoku said:
Homework Statement: Please see below
Relevant Equations: Kirchhoff Law

View attachment 370977

I have found part (a):
current on the left is 7/12 A from A to B
current on the middle is 5/36 A from F to C
current on the right is 13/18 A from D to E

For part (b), what is the meaning of VBF? Is it VB - VF or VF - VB?

My attempt is:
VBF = I1 x R1 - ε1 = 7/12 x 4 - 1.5 = 5/6 V

Is it correct?

Thanks
VBF is the voltage drop from point B to point F and yes, that's correct.
 
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songoku said:
For part (b), what is the meaning of VBF? Is it VB - VF or VF - VB?
I am unsure of what to say here. There are those who will tell you that Vbf is equivalent to Vb - Vf, and there are those who will tell you that Vbf is equivalent to Vf - Vb. If your choice is Vbf=Vf-Vb, your calculations are correct. The points B and C are at the same potential, so you can check your result by calculating the potential difference across the resistor R2, which is Vcf. It must be the same as the potential difference Vbf. Points B and D are also at the same potential, so Vbf must be equal to Vdf too.
 
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Thank you very much for the explanation Rap and Gavran
 
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