How to describe complicated dimensions?

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Discussion Overview

The discussion revolves around the dimensional analysis of various physical quantities, particularly focusing on velocity and voltage. Participants explore how to intuitively understand and describe the dimensions of voltage, which is expressed as kg·m²/s³/A, and compare it to other units like velocity and electric charge.

Discussion Character

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

Main Points Raised

  • One participant questions how to intuitively describe voltage given its complex dimensional formula, suggesting a need for clearer understanding.
  • Another participant proposes substituting the definition of Ampere with electric charge per second to simplify the expression of voltage.
  • There is a repeated inquiry about why Amperes were chosen as a base unit over Coulombs, with some suggesting that measuring current is easier than measuring charge.
  • Participants suggest regrouping dimensions into more intuitive categories like force, acceleration, and charge to aid understanding.
  • One participant notes that there are multiple ways to factorize the dimensions of voltage and encourages choosing a simple and useful method.
  • Several participants express curiosity about the definitions of fundamental units such as Ampere, Coulomb, and Newton, indicating a desire for deeper understanding of these concepts.

Areas of Agreement / Disagreement

Participants express multiple competing views regarding the choice of base units in the SI system and the intuitive understanding of voltage. The discussion remains unresolved with no consensus on the best approach to describe these dimensions.

Contextual Notes

Participants highlight the complexity of dimensional analysis and the potential for different interpretations based on the definitions of units. There are unresolved questions regarding the definitions of fundamental units and their implications for understanding physical quantities.

Who May Find This Useful

This discussion may be useful for students and professionals in physics and engineering who are interested in dimensional analysis and the foundational concepts of measurement in the SI system.

NODARman
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TL;DR
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Hi, just wondering if the dimension of velocity is m/s that can be described as what distance is passed in a specific time, then how can I describe volt which is kg•m²÷s³÷A? Mass in the area that moved...
I can't even imagine.

Thanks.
 
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It makes more intuitive sense to me if you substitute ##A=\frac{C}{s}##, electric charge per second. Then you can have ##V=\frac{[kg⋅(\frac{m}{sec^2})]⋅m}{C}## which is like Work (=force⋅distance) per Coulomb.
 
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BTW, why did the SI gurus choose Amps instead of Coulombs as a basic unit? Charge seems to me to be as basic as it gets.
 
DaveE said:
BTW, why did the SI gurus choose Amps instead of Coulombs as a basic unit? Charge seems to me to be as basic as it gets.
I think it was because when SI units were first introduced it was much, much easier to accurately measure current compared to measuring charge.
 
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Anyway, I think the more general answer is to try to regroup all of those dimensions into things that are more intuitive, like force, acceleration, charge, etc.
 
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Why is there a kg?

What is the definition of an Ampere?
What is the definition of the Coulomb?
Whats' the definition of the Newton?

DaveE said:
BTW, why did the SI gurus choose Amps instead of Coulombs
Easier to realize the standard. Measuring current is a lot easier than measuring charge.
 
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NODARman said:
... then how can I describe volt which is kg ·m² /s³ /A ?
There are many ways to factorise the dimensions of the volt.
Pick one that is simple and useful.
volt = joule / coulomb .
 
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DaveE said:
BTW, why did the SI gurus choose Amps instead of Coulombs as a basic unit?
The force between two wires, in a current balance, is proportional to the product of the currents.
amp = coulomb / second
 
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