A uniform electric field of magnitude 7.0 ✕ 104 N/C passes through the plane of a square sheet with sides 5.0 m long. Calculate the flux (in N · m2/C) through the sheet if the plane of the sheet is at an angle of 60° to the field. Find the flux for both directions of the unit normal to the sheet.

Explanation:

Given that:

Electrical field E =

square side l = 5.0 m

Area A = 5.0 * 5.0

= 25.0 m²

Angle ( θ ) between area vector and E = (90° - 60°)

= 30°

The flux can now be determined by using the expression

=

=

=

=

a)

b)    

Explanation:

Let's recall the definition of the flux:

Therefore, the flux in the direction of the unit normal to the sheet is:

And the flux in the opposite direction is:

I hope it helps you!