Answer:
8.85 × 10 ⁻³ m
Explanation:
The electric field produced by infinite sheet of charge relates by
E = σ / 2ε₀
where σ = surface charge density = 0.1 μC/m² = 0.1 × 10⁻⁶C/m², ε₀ = 8.85 × 10⁻¹² C⁻²/Nm²
also
V = E Δs where Δs is the distance apart in meters, V is the voltage of the
make E subject of the formula
V/Δs = E
equate the two equation
V / Δs = σ / 2ε₀
make Δs subject of the formula
V2ε₀ / σ = Δs
substitute the values into the expression
Δs = (50 × 2 × 8.85 × 10⁻¹²) / (0.1 × 10⁻⁶) = 8.85 × 10 ⁻³ m
