Answer:
The surface charge density of the sheet is 1547.516 C/m²
Explanation:
Given;
force experienced by the proton, F = 14.0 μN
Electric field near an infinite sheet with surface charge density (σ) is given as;
E = σ/2ε₀
The force of attraction the proton experienced towards the sheet;
F = Eq
F = q(σ/2ε₀) [tex]= \frac{q \sigma}{2 \epsilon_o}[/tex]
where;
q is the charge of the proton
σ is the surface charge density of the sheet
ε₀ is the permittivity of free space
[tex]F = \frac{q \sigma}{2 \epsilon_o} \\\\\sigma = \frac{2F \epsilon_o}{q} \\\\\sigma = \frac{2*14*10^{-6}*8.854*10^{-12}}{1.602*10^{-19}} = 1547.516 \ C/m^2[/tex]
Therefore, the surface charge density of the sheet is 1547.516 C/m²
