The dimensions of emf in MKS are:

Question

Accepted Answer

1. **Identify the Formula:** Electromotive force (emf, $\varepsilon$) is defined as the work done per unit charge, which can be expressed as $\varepsilon = \frac{W}{q}$ .
2. **Determine Dimensions:** 
   - The dimensional formula for work ($W$) is $[ML^2T^{-2}]$ .
   - The dimensional formula for electric charge ($q$) is $[AT]$ .
3. **Calculate Final Dimensions:** 
   Substituting these into the formula gives:
   $$[\varepsilon] = \frac{[ML^2T^{-2}]}{[AT]} = [ML^2T^{-3}A^{-1}]$$ .

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