Final answer:
To calculate the total charge on the square metallic sheet, the area (10,000 cm²) is multiplied by the charge density (20 × 10´ C/cm²), resulting in a total charge of 2 × 10· C.
Step-by-step explanation:
The student has asked for the total charge uniformly distributed over the surface of a square metallic sheet with given dimensions and charge density. To find the total charge, we use the formula for charge density, which is the charge per unit area (Q = σ × A), where σ is the charge density and A is the area.
To calculate the area of a square with a side of 100 cm, we square the value of the side (A = s²). So, the area A is (100 cm × 100 cm) or 10,000 cm². The charge density (σ) is given as 20 C/m², which is equivalent to 20 × 10´ C/cm² because there are 10,000 cm² in 1 m².
σ = 20 C/m² = 20 × 10´ C/cm²
So, the total charge (Q) is then Q = 20 × 10´ C/cm² × 10,000 cm² = 2 × 10· C.
Therefore, the correct answer is D. 2×10· C.