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 71.7 N/C that is directed at 20 ∘ from the plane of the _____

Respuesta :

Answer:

[tex]5.9Nm^2/C[/tex]

Step-by-step explanation:

We are given that

Length of rectangle sheet=l=0.4 m

Breadth of rectangle sheet=b=0.6 m

Electric field=E=71.7 N/C

Angle[tex]=20^{\circ}[/tex]

The angle between electric field vector and area vector=[tex]\theta=90-20=70degree[/tex]

We have to find the magnitude of electric flux passing through the sheet.

Area of rectangle sheet=[tex]l\times b=0.4\times 0.6=0.24 m^2[/tex]

Magnitude of electric flux passing through the sheet=[tex]EAcos\theta=71.7\times 0.24cos70[/tex]

Magnitude of electric flux passing through the sheet=[tex]5.9Nm^2/C[/tex]