1Which is the dimensional formula of volume charge density?
Volume charge density works out to [L⁻³ T A].
ElectrostaticsClass 12, Electric Charges and Fields
Dimensional formula of Volume charge density
[L-3 T A]
Charge per unit volume.
How to get the dimensional formula of volume charge density
- Start from the definition: volume charge density = electric charge / volume.
- electric charge = electric current × time, so electric charge is [A] × [T] = [T A].
- volume = length3, so volume is [L]3 = [L3].
- Put in the dimension of each part: [T A] / [L3].
- Add the powers of each base quantity: [L-3 T A].
Three questions on volume charge density
2What is the SI unit of volume charge density?
The SI unit of volume charge density is the coulomb per cubic metre (C/m³).
3Do volume charge density and electric charge have the same dimensions?
Volume charge density is [L⁻³ T A] but electric charge is [T A].
Volume charge density: quick answers
What is the dimensional formula of volume charge density?
The dimensional formula of volume charge density is [L⁻³ T A]. It comes from volume charge density = electric charge / volume.
What is the SI unit of volume charge density?
The SI unit of volume charge density is the coulomb per cubic metre (C/m³).
Is volume charge density dimensionless?
No. Volume charge density has the dimensions [L⁻³ T A].