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

\(\begin{array}{l}\left(\rho\right)\end{array} \)
  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,

 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: 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,

\(\begin{array}{l}\large \rho =\frac{q}{v}\end{array} \)

\(\begin{array}{l}\large \rho =\frac{10C}{2m^{3}}\end{array} \)

\(\begin{array}{l}\large \rho =5\,C/m^{3}\end{array} \)

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