A metal plate has a charge density of 85uc/cm^2 : Calculate the electric field strength at 14 cm above the plate
To calculate the electric field strength at a given distance above a charged plate, you can use the formula:
E = σ / (2ε)
where:
E is the electric field strength,
σ is the charge density (in this case, 85 μC/cm²),
ε is the permittivity of free space (ε₀ = 8.85 x 10⁻¹² C²/Nm²).
First, convert the charge density from μC/cm² to C/m²:
85 μC/cm² = (85 x 10⁻⁶ C) / (0.01 m)² = 8500 C/m²
Now, substitute the given values into the formula to calculate the electric field strength:
E = (8500 C/m²) / (2 x 8.85 x 10⁻¹² C²/Nm²)
Calculating this expression, we get:
E ≈ 4.81 x 10⁶ N/C
Therefore, the electric field strength 14 cm above the plate is approximately 4.81 x 10⁶ N/C.