Final answer:
To calculate the work done in moving a 10C charge from point A to the plane with a surface charge density of 40 nC/m², we need to find the electric potential difference and multiply it by the charge.
Step-by-step explanation:
To calculate the work done in moving a 10C charge from point A to the plane, we need to find the electric potential difference between the two points and then multiply it by the charge.
First, we can calculate the electric field created by the sheet of charge using the formula E = σ/ε₀, where σ is the surface charge density and ε₀ is the permittivity of free space. Plugging in the given values, we get E = (40 nC/m²)/(8.85x10⁻¹² C²/Nm²).
Next, we can calculate the electric potential difference using the formula V = Ed, where V is the potential difference and d is the distance between the two points A and the plane.
Finally, we can calculate the work done using the formula W = qV, where q is the charge and V is the potential difference.
Plugging in the values, we can find the work done in joules.