Hi there!
Using the equation for the electric field produced by an infinite sheet of charge:
[tex]E = \frac{\sigma}{2\epsilon_0}[/tex]
E = Electric field strength (150 N/C)
σ = Surface charge density (? C/m²)
ε₀ = Permittivity of free space (8.8542× 10⁻¹² C²/Nm²)
We can rearrange the equation to solve for the surface charge density (charge per unit area)
[tex]E = \frac{\sigma}{2\epsilon_0}\\\\\sigma = 2E\epsilon_0\\\\\sigma = 2(150)(8.8542*10^{-12}) = \boxed{2.656 \times 10^{-9} \frac{C}{m^2}}[/tex]