The unit of linear charge density is coulomb per meter (C/m). Linear charge density represents the amount of electric charge distributed along a unit length of a line or wire and is denoted as λ=dqdl\lambda =\frac{dq}{dl}λ=dldq​, where dqdqdq is the infinitesimal charge and dldldl is the infinitesimal length element.

Explanation

• Linear charge density λ\lambda λ quantifies charge per unit length.
• It is used for objects like thin wires or rods where charge is distributed along one dimension.
• The SI unit for λ\lambda λ is coulomb per meter, expressed as C/m.

This unit is consistent with the physical concept of charge per unit length along a conductor or line distribution of charge.

Hence, the unit of linear charge density is Coulomb per meter (C/m)\text{Coulomb per meter (C/m)}Coulomb per meter (C/m).