Numford

SI base quantitiesClass 11, Units and Measurements

Dimensional formula of Electric current

[A]

SymbolI SI unitampere (A)

The SI base quantity of electricity. Charge is built from it, current is not built from charge in the SI system.

Derivation

How to get the dimensional formula of electric current

  1. Electric current is one of the seven SI base quantities, so its dimension is written directly: [A].
Same dimensions

Quantities with the dimensions [A]

Equal dimensions do not make them the same quantity. Compare electric current with the others in the full grid.

Practice

Three questions on electric current

1Which of these has the same dimensions as electric current?

2What is the SI unit of electric current?

3Do electric current and time have the same dimensions?

Try it

An equation that uses electric current

Equation checker

Matching dimensions are necessary, not sufficient. A check cannot see pure numbers such as 1/2 or 2π, so a consistent equation can still be wrong.

Read asU = (1/2) L I2
U[M L2 T-2]1/2 L I2[M L2 T-2]
Dimensionally consistentEvery term is [M L2 T-2]
U = energy
Questions

Electric current: quick answers

What is the dimensional formula of electric current?

The dimensional formula of electric current is [A]. It is one of the seven SI base quantities.

What is the SI unit of electric current?

The SI unit of electric current is the ampere (A).

Which quantities have the same dimensions as electric current?

Electric current shares [A] with displacement current. Equal dimensions do not make them the same quantity.

Open the dimensional formula tool