The charge density of the sheet is 1.384×10⁻⁷C/m².
Charge density is defined as the charge per unit area.
The sheet is a square of length l=17 cm.
Calculate the area A of the sheet .
[tex]A=l^2=(17 cm)^2= (17*10^-^2m)^2=0.0289 m^2[/tex]
The charge Q on the sheet is
[tex]Q=4nC=4*10^-^9C[/tex]
The charge density σ is given by,
[tex]\sigma=\frac{Q}{A}[/tex]
Substitute 4×10⁻⁹C for Q and 0.0289 m² for A.
[tex]\sigma=\frac{Q}{A}\\ =\frac{4*10^-^9C}{0.0289 m^2} \\ =1.389*10^-^7C/m^2[/tex]
Thus, the charge density of the sheet is 1.384×10⁻⁷C/m².
