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What are the SI base units of electromotive force (e.m.f.)?

Question

What are the SI base units of electromotive force (e.m.f.)?

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Solution

The SI base units of electromotive force (e.m.f.) are volts (V), which can be broken down into the base units: kilogram meter squared per second cubed per ampere (kg·m²·s⁻³·A⁻¹).

Here's the step-by-step breakdown:

  1. Electromotive force is measured in volts (V) in the International System of Units (SI).

  2. A volt is defined as one joule (J) of energy per coulomb (C) of charge, which gives us the units J/C.

  3. A joule is a derived unit in the SI system, defined as one kilogram meter squared per second squared (kg·m²·s⁻²).

  4. A coulomb is also a derived unit, defined as one ampere second (A·s).

  5. Substituting these definitions into our original units for a volt, we get (kg·m²·s⁻²) / (A·s), which simplifies to kg·m²·s⁻³·A⁻¹.

So, the SI base units of electromotive force are kg·m²·s⁻³·A⁻¹.

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