# Volume Charge Density Formula

In electromagnetism, the charge density tells how much charge is present in a given length, area or volume. The greek symbol Pho

$$\begin{array}{l}\left(\rho\right)\end{array}$$
Â Â denotes electric charge, and the subscript V indicates the volume charge density.

The charge in terms of volume charge density is expressed as,

$$\begin{array}{l}\huge \rho =\frac{q}{v}\end{array}$$

Where,

$\rho$Â is the charge density

q is the charge(C)
v is the total volume in

$$\begin{array}{l}m^{3}\end{array}$$
.

### Volume Charge Density Solved Problems

Question 1:Â Find the volume charge density if the charge of 10 C is applied across the area of

$$\begin{array}{l}2\,m^{3}\end{array}$$
.

Solution:

Given:
Charge q =Â 10 C
Volume v =

$$\begin{array}{l}2\,m^{3}\end{array}$$
.

The volume charge density formula is,

$$\begin{array}{l}\large \rho =\frac{q}{v}\end{array}$$
$$\begin{array}{l}\large \rho =\frac{10C}{2m^{3}}\end{array}$$
$$\begin{array}{l}\large \rho =5\,C/m^{3}\end{array}$$