A little problem on dimensional analysis

AI Thread Summary
The discussion revolves around the dimensional analysis of energy equations, specifically comparing E=Fs and E=VIt. The user seeks to simplify the dimensions of potential difference (p.d.) and coulombs into fundamental dimensions of time, length, and mass. A high school teacher clarified that the dimensions for coulombs and p.d. are already in their simplest form. The user realizes that energy can be expressed simply as F*d, linking it back to the fundamental concepts. This highlights the interconnectedness of energy, force, and electric fields in physics.
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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