In electromagnetism, the charge density tells how much charge is present in a given length, area or volume. The greek symbol Pho \(\begin{array}{l}\left(\rho\right)\end{array} \) 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,
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: 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 = 10 C
Volume v =
\(\begin{array}{l}2\,m^{3}\end{array} \)
.
The volume charge density formula is,
\(\begin{array}{l}\large \rho =\frac{q}{v}\end{array} \)
\(\begin{array}{l}\large \rho =\frac{10C}{2m^{3}}\end{array} \)
\(\begin{array}{l}\large \rho =5\,C/m^{3}\end{array} \)
