Question

A flat sheet is in the shape of a rectangle with sides of lengths 0.400 mm and 0.600 mm. The sheet is immersed in a uniform electric field of magnitude 78.7 N/CN/C that is directed at 20 ∘∘ from the plane of the sheet (the figure (Figure 1)).

a) Find the magnitude of the electric flux through the sheet.

Answer 1

here,

the area of sheet , A = 0.4 * 0.6 mm^2

A = 0.24 * 10^-6 m^2

theta = 20 degree

electric feild , E = 78.7 N/C

the magnitude of the electric flux through the sheet , phi = E * A * sin(theta)

phi = 78.7 * 0.24 * 10^-6 * sin(20) N.m^2 /C

phi = 6.46 * 10^-6 N.m^2 /C