Differences between two Voltage formulas

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Discussion Overview

The discussion centers on the differences between two voltage formulas: one for a point charge and another for an inductor. Participants explore the contexts in which these formulas apply and whether one can be derived from the other, raising questions about their conceptual foundations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant notes that the two voltage expressions refer to different circumstances and are subsets of a general case, suggesting a connection through Maxwell's equations.
  • Another participant highlights the commonality of variables in equations describing different phenomena, implying a potential relationship between the two formulas.
  • Some participants seek hints or guidance on how to approach the differences, indicating a desire for clarification rather than definitive answers.
  • A later reply prompts consideration of what generates the voltage in each case, suggesting that the source of voltage may influence the understanding of the formulas.

Areas of Agreement / Disagreement

Participants do not reach a consensus on whether the two voltage formulas can be derived from one another or if they represent completely different concepts. Multiple views on their relationship remain present.

Contextual Notes

Participants express uncertainty regarding the implications of the formulas and the significance of the variables involved, indicating that further exploration of definitions and contexts is necessary.

Who May Find This Useful

This discussion may be of interest to students and professionals in physics and engineering, particularly those exploring electrical concepts and the relationships between different physical equations.

sawer
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What is the differences between these two voltage formulas.
1. for a point charge: $$V = k\frac{q}{r}$$
2. for an inductor: $$V(t)= L\frac{di}{dt}$$

Why are there different voltage formulas? Can second one be derived from the first one?
Or do they completely represent different concepts?
 
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The two expressions refer to different circumstances; sub-sets of the general case. If you look at Maxwell's equations then you will see how it all ties together.
It is common for equations describing phenomena to share a variable.
 
Can you please give some hints
 
Just think of the suvat set of equations used for calculations in dynamics. There is always a choice of how to express things in terms of different variables. Are you looking for some extra significance in this?
 
sawer said:
Can you please give some hints

Well, what is generating the voltage in each case?
 

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