A little problem on dimensional analysis

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SUMMARY

The discussion centers on dimensional analysis in physics, specifically the relationship between energy, force, voltage, and charge. Jeremy queries whether the dimensions of potential difference (p.d.) and coulomb can be simplified to the three fundamental dimensions: mass, length, and time. The conclusion drawn from the discussion is that the dimensions for coulomb and potential difference are already in their simplest form, as confirmed by both Jeremy's teacher and the equations provided, such as F = E*Q and V = E*d.

PREREQUISITES
  • Understanding of dimensional analysis in physics
  • Familiarity with fundamental dimensions: mass, length, and time
  • Knowledge of electrical concepts such as voltage and charge
  • Basic equations of motion and energy in physics
NEXT STEPS
  • Study the principles of dimensional analysis in greater depth
  • Explore the relationship between electric fields and force using F = E*Q
  • Learn about the derivation of energy equations in physics
  • Investigate the implications of fundamental dimensions in various physical equations
USEFUL FOR

Students of physics, educators teaching dimensional analysis, and anyone interested in understanding the relationships between electrical concepts and fundamental dimensions.

jeremy22511
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Homework Statement



The dimensions for all sorts of energy must be equal.
Then the following should hold:
By E=Fs and E=VIt,
[Fs] = [VIt]
[M][L]2[T]-2=[V][Q]

Now, according to some online lectures I watched some time ago, the dimensions of time, length, and mass are the three fundamental dimensions and all other dimensions can be derived with the three. So I was wondering if I could simplify the dimension of the p.d. and the coulomb into the three dimensions.

Would appreciate any help. Thanks.
Jeremy

Homework Equations





The Attempt at a Solution


I asked my high school teacher the other day and he said that the dimensions for the coulomb and p.d. are already the simplest...
 
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In an electric field F = E*Q
And V = E*d
Therefore Energy = V*Q = E*d*F/E = F*d.
 
Oh. I didn't realize it was that simple. Thanks.
 

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