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} (ρ) \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} ρ = \frac{q}{v} \end{array}

Where,

$\rho$ is the charge density

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

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

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} ρ = \frac{q}{v} \end{array}

\begin{array}{l} ρ = \frac{10 C}{2 m^{3}} \end{array}

\begin{array}{l} ρ = 5 C / m^{3} \end{array}