In electromagnetism, the charge density tells how much charge is present in a given length, area or volume. The greek symbol Pho $\left(\rho\right)$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,
$\huge \rho =\frac{q}{v}$
Where,
q is the charge(C)
v is the total volume in $m^{3}$.
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 $2\,m^{3}$.
Solution:
Given:
Charge q =Â 10 C
Volume v = $2\,m^{3}$.
The volume charge density formula is,
$\large \rho =\frac{q}{v}$
$\large \rho =\frac{10C}{2m^{3}}$
$\large \rho =5\,C/m^{3}$