If we know the units of a quantity is it valid to write a formula just so that the units are dimensionally correct? – physics.stackexchange.com

If we know the units of a quantity is it valid to write a formula just so that the units are dimensionally correct? – physics.stackexchange.com

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Here is a very simple example: The definition of an electric field is $$\vec E = \frac{\text{Force}}{\text{Charge}}=\frac{\vec F}{Q}$$ and it's dimensions are N$\mathrm{C}^{-1}$ (Newtons per ...

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