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.

Respuesta :

Answer:

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

This question involves the concepts of the electric flux and the electric field.

The magnitude of electric flux is found to be "6.1 N.m²/C".

The electric flux can be given by the following formula:

[tex]\phi = EACos\theta[/tex]

where,

[tex]\phi[/tex] = electric flux = ?

E = Electric field = 73.9 N/C

A = Area of the plate = (0.4 m)(0.6 m) = 0.24 m²

θ = angle between normal to area and electric field lines = 90° - 20° = 70°

Therefore,

[tex]\phi=(73.9\ N/C)(0.24\ m^2)Cos(70^o)\\\phi = 6.1\ N.m^2/C[/tex]

Learn more about electric flux here:

https://brainly.com/question/14850656?referrer=searchResults

The attached picture shows the electric flux.

Ver imagen hamzaahmeds
Q&A Education