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