1Which is the dimensional formula of surface charge density?
Surface charge density works out to [L⁻² T A].
ElectrostaticsClass 12, Electric Charges and Fields
Dimensional formula of Surface charge density
[L-2 T A]
Charge per unit area.
How to get the dimensional formula of surface charge density
- Start from the definition: surface charge density = electric charge / area.
- electric charge = electric current × time, so electric charge is [A] × [T] = [T A].
- area = length × length, so area is [L] × [L] = [L2].
- Put in the dimension of each part: [T A] / [L2].
- Add the powers of each base quantity: [L-2 T A].
Three questions on surface charge density
2What is the SI unit of surface charge density?
The SI unit of surface charge density is the coulomb per square metre (C/m²).
3Do surface charge density and potential difference have the same dimensions?
Surface charge density is [L⁻² T A] but potential difference is [M L² T⁻³ A⁻¹].
Surface charge density: quick answers
What is the dimensional formula of surface charge density?
The dimensional formula of surface charge density is [L⁻² T A]. It comes from surface charge density = electric charge / area.
What is the SI unit of surface charge density?
The SI unit of surface charge density is the coulomb per square metre (C/m²).
Is surface charge density dimensionless?
No. Surface charge density has the dimensions [L⁻² T A].