1Which is the dimensional formula of current density?
Current density works out to [L⁻² A].
Current electricityClass 12, Current Electricity
Dimensional formula of Current density
[L-2 A]
Current per unit cross-section area, J = I/A.
How to get the dimensional formula of current density
- Start from the definition: current density = electric current / area.
- area = length × length, so area is [L] × [L] = [L2].
- Put in the dimension of each part: [A] / [L2].
- Add the powers of each base quantity: [L-2 A].
Three questions on current density
2What is the SI unit of current density?
The SI unit of current density is the ampere per square metre (A/m²).
3Do current density and conductance have the same dimensions?
Current density is [L⁻² A] but conductance is [M⁻¹ L⁻² T³ A²].
Current density: quick answers
What is the dimensional formula of current density?
The dimensional formula of current density is [L⁻² A]. It comes from current density = electric current / area.
What is the SI unit of current density?
The SI unit of current density is the ampere per square metre (A/m²).
Is current density dimensionless?
No. Current density has the dimensions [L⁻² A].