Symbolic Analysis of SI Units

Expressed in combinations of SI units, the farad is:

<math>\text{F}

= \dfrac{\text{s}^4 {\cdot} \text{A}^2}{\text{m}^{2} {\cdot} \text{kg}} = \dfrac{\text{s}^2 {\cdot} \text{C}^2}{\text{m}^{2} {\cdot} \text{kg}} = \dfrac{\text{C}}{\text{V}} = \dfrac{\text{A} {\cdot} \text{s}}{\text{V}} = \dfrac{\text{W} {\cdot} \text{s}} {{\text{V}^2} } = \dfrac{\text{J}}{{\text{V}^2} } = \dfrac{\text{N} {\cdot} \text{m}} {{\text{V}^2} } = \dfrac{\text{C}^2}{\text{J}} = \dfrac{\text{C}^2}{\text{N} {\cdot} \text{m}} = \dfrac{\text{s}}{\Omega} = \dfrac{1}{\Omega {\cdot} \text{Hz}} = \dfrac{\text{s}^{2}}{\text{H}}, </math>

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