A little problem on dimensional analysis

  • #1

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...
 

Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
7
In an electric field F = E*Q
And V = E*d
Therefore Energy = V*Q = E*d*F/E = F*d.
 
  • #3
Oh. I didn't realise it was that simple. Thanks.
 

Related Threads on A little problem on dimensional analysis

  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
688
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
7K
  • Last Post
Replies
2
Views
686
  • Last Post
Replies
9
Views
984
  • Last Post
Replies
8
Views
1K
Top