A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude 73.9 N/C that is directed at 20 ∘ from the plane of the sheet. Find the magnitude of the electric fluxthrough the sheet.

6.07 Nm²/C

Explanation:

L = length of the flat sheet = 0.400 m

w = width of the flat sheet = 0.600 m

Area of the rectangular sheet is given as

A = L w

A = (0.400) (0.600)

A = 0.24 m²

E = magnitude of the electric field in the region = 73.9 N/C

θ = Angle of the electric field relative to normal to the plane of sheet = 90 - 20 = 70 deg

Magnitude of magnetic flux through the sheet can be given as

Φ = E A Cosθ

Inserting the values

Φ = (73.9) (0.24) Cos70

Φ = 6.07 Nm²/C