Voltages of a,b,c: Explaining the Answers

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SUMMARY

The discussion clarifies the voltage values Va, Vb, and Vc in a circuit, emphasizing that voltages are referenced to an earthed point, which is assigned as 0V. Va is determined to be 20 volts based on its reference to the earth, while Vab is calculated as 5 volts. Vc is correctly identified as 8 volts due to its proximity to the voltage source. Understanding these voltage references is crucial for accurate circuit analysis.

PREREQUISITES
  • Basic understanding of electrical circuits and voltage references
  • Familiarity with the concept of earthed points in circuit analysis
  • Knowledge of voltage difference calculations (Vab = Va - Vb)
  • Experience with interpreting circuit diagrams and voltage sources
NEXT STEPS
  • Study the principles of voltage referencing in electrical circuits
  • Learn about circuit analysis techniques using Kirchhoff's Voltage Law
  • Explore the concept of node voltage analysis in circuit theory
  • Review examples of voltage calculations in various circuit configurations
USEFUL FOR

Students studying electrical engineering, educators teaching circuit analysis, and anyone seeking to deepen their understanding of voltage references in electrical circuits.

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Homework Statement


See image attachedI don't understand why Va is 20 volts instead of it being 5 volts or a combination of the two. The same goes with Vb. I can see (but I am likely looking at it the wrong way) why Vc is 8 volts.. Because Vc is right next to the voltage source.

Can anybody please explain how I get to these correct answers? Thank you.

Homework Equations

The Attempt at a Solution


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Hi Josh225. The voltages are referenced to the earthed point; it is assigned to be 0V and everything else is referenced to that.

In the absence of instructions to the contrary, we always assume the Earth to be the zero volts node. So when we say another node is at X volts it is understood that this is w.r.t. the circuit's earth.

Vab = Va - Vb = 5V
Va = Va - Vearth = 20V - 0V = 20V
 

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