What is the dimensional formula of electromotive force?

The dimensional formula of electromotive force is [M L² T⁻³ A⁻¹], which comes from electromotive force = work done ÷ charge.

Dimensional formula of electromotive force

The SI unit of electromotive force is volt (V).

Electromotive force

[M L² T⁻³ A⁻¹]

Written in full: [M¹ L² T⁻³ A⁻¹ K⁰]

Electromotive force = Work done ÷ Charge

Put in the dimensions of each part: [ML²T⁻²] ÷ [AT] = [M L² T⁻³ A⁻¹].

The SI unit of electromotive force is volt (V).

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

Quantity	Formula
Electric resistance	[M L² T⁻³ A⁻²]
Electrical conductance	[M⁻¹ L⁻² T³ A²]
Resistivity	[M L³ T⁻³ A⁻²]
Current density	[L⁻² A]
Electric power	[M L² T⁻³]
Electrical conductivity	[M⁻¹ L⁻³ T³ A²]
Mobility	[M⁻¹ T² A]
Electrochemical equivalent	[M T⁻¹ A⁻¹]
RC time constant	[T]