Question

The electric flux through a square-shaped area of side 5 cm near a large charged sheet is found to be 3x10^-5​ N⋅m​2​​/C when the area is parallel to the plate. Find the charge density on the sheet.

a) 9.80 10-14 C/m2
b) 3.71 10-13 C/m2
c) 2.12 x 10-13 C/m2
d) 1.75 x 10-13 C/m2
e) 5.92 x 10-13 C/m2

Answer 1

The charge density on the sheet is 1.2 x 10^-13 C/m².

Step-by-step explanation:

To find the charge density on the sheet, we can use the equation for electric flux, which is given by:

Electric Flux = Charge Density * Area

Here, the electric flux is given as 3 x 10-5 Nm²/C and the area is the square-shaped area with a side of 5 cm. Plugging in these values, we can solve for the charge density:

3 x 10-5 Nm²/C = Charge Density * (0.05 m)2

Charge Density = (3 x 10-5 Nm²/C) / (0.05 m)2 = 1.2 x 10-13 C/m²

Therefore, the charge density on the sheet is 1.2 x 10-13 C/m².