Answer:
σ =4.180×10^{-9} C/m^2
Explanation:
electric field due to non conducting sheet is
[tex]E=\frac{\sigma}{2\epsilon_0}[/tex]
the force acting on the piece of Styrofoam
Eq= mg
⇒E= mg/q
now,
[tex]\frac{mg}{q} = \frac{\sigma}{2\epsilon_0}[/tex]
⇒[tex]\sigma= \frac{2mg\epsilon_0}{q}[/tex]
[tex]\sigma= \frac{2\times0.013\times9.81\times8.85\times10^{-12}}{5.40\times10^{-4}}[/tex]
charge per unit area (in C/m2) on the plastic sheet σ =4.180×10^{-9} C/m^2
