Here are the definitions and SI units for volume, density, and charge density: Volume:
- Volume is the amount of three-dimensional space an object or substance occupies. It measures the extent of a body in three dimensions.
- It is a scalar quantity with dimensions of length cubed (L3L^3L3).
- The SI unit of volume is the cubic meter (m3\mathrm{m}^3m3).
Density:
- Density is defined as mass per unit volume of a substance. It quantifies how much mass is contained in a given volume.
- The formula for density is ρ=mV\rho =\frac{m}{V}ρ=Vm, where mmm is mass and VVV is volume.
- The SI unit of density is kilograms per cubic meter (kg/m3\mathrm{kg/m}^3kg/m3).
Density of Charge (Charge Density):
- Charge density refers to the amount of electric charge per unit volume, area, or length, depending on context (volume charge density, surface charge density, or linear charge density).
- Volume charge density (ρ\rho ρ) is defined as charge per unit volume: ρ=QV\rho =\frac{Q}{V}ρ=VQ, where QQQ is charge, VVV is volume.
- The SI unit of volume charge density is coulombs per cubic meter (C/m3\mathrm{C/m}^3C/m3).
These definitions include their SI units as requested. If a more specific type of charge density is needed (surface or linear), those units would differ accordingly.
