Question

Define volume density of charge. Write its SI unit.

Hint:

Volume density of charge = \(\frac{\text{Charge}}{\text{Volume}}\). SI unit = \(\text{C/m}^3\).

Answer 1

The volume density of charge (also known as charge density) is the amount of electric charge per unit volume at a specific point in space. It is denoted by \(\rho\) and is a measure of how much charge is present in a given volume of space. The formula for the volume density of charge is: \[ \rho = \frac{Q}{V} \] Where: - \(Q\) is the total charge in the volume,
- \(V\) is the volume in which the charge is distributed.
The SI unit of charge density is coulombs per cubic meter (\(\text{C/m}^3\)). It expresses the amount of charge (in coulombs) per unit volume (in cubic meters).
In summary, the volume density of charge is the charge per unit volume, and its SI unit is \(\text{C/m}^3\).