Question

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 _____

Answer 1

Answer:

$5.9Nm^2/C$

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$=20^{\circ}$

The angle between electric field vector and area vector=$\theta=90-20=70degree$

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

Area of rectangle sheet=$l\times b=0.4\times 0.6=0.24 m^2$

Magnitude of electric flux passing through the sheet=$EAcos\theta=71.7\times 0.24cos70$

Magnitude of electric flux passing through the sheet=$5.9Nm^2/C$