# Dimensions of Coulomb

## Dimensional Formula of Coulomb

The dimensional formula of Coulomb is given by,

[M0 L0 T1 I1]

Where,

• M = Mass
• I = Current
• L = Length
• T = Time

### Derivation

Coulomb is the SI unit of electric charge. Therefore, the dimensional formula of Coulomb is the same as that of the electric charge.

Since, electric charge (Q) = current × time . . . . (1)

The dimensional formula of,

Current = [M0 L0 T0 I1] . . . . (2)

Time = [M0 L0 T1] . . . . (3)

On substituting equation (2) and (3) in equation (1) we get,

Since, electric charge (Coulomb) = current × time

Or, Coulomb = [M0 L0 T0 I1] × [M0 L0 T1] = [M0 L0 T1 I1]

Therefore, Coulomb is dimensionally represented as [M0 L0 T1 I1].