Final answer:
The total charge on a square metallic sheet with a given charge density of 20 Cm² and side length of 100 cm is calculated as 200,000 C.
Step-by-step explanation:
The question concerns the calculation of the total charge on a square metallic sheet based on the given charge density. To find the total charge (Q), we can use the formula Q = charge density (σ) times the area (A).
The charge density is given as 20 Cm², and the side of the square sheet is 100 cm, hence the area is 100 cm x 100 cm which equals 10,000 cm². Multiplying the area by the charge density gives us the total charge:
Q = σ x A = 20 Cm² x 10,000 cm² = 200,000 C.
The charge density of a metallic sheet is defined as the amount of charge per unit area. In this case, the surface of the square metallic sheet has a charge density of 20 C/cm^2. To find the total charge on the sheet, we multiply the charge density by the area of the sheet.
The area of the square sheet is given by the formula: Area = side^2. Thus, the total charge on the sheet is 20 C/cm^2 * (100 cm)^2 = 200,000 C.