<h2>
Answer:</h2>
41.4 x 10⁴ Nm²/C
<h2>
Explanation:</h2>
The electric flux Φ, through a planar area A, is defined as the product of the electric field, the area of the plane and the cosine of the angle θ, between a perpendicular vector to the area and the electric field. i.e
Φ = E A cos θ ----------------(i)
<em>From the question;</em>
E = 4.6 x 10⁴ N/C
A = area of the square = l² [l = length of the square = 3m]
=> A = (3m)² = 9m²
θ = 0° [since the electric field is perpendicular to the square sheet, then the area vector is parallel to the field]
<em>Substitute these values into equation (i) as follows;</em>
Φ = 4.6 x 10⁴ x 9 x cos 0°
Φ = 4.6 x 10⁴ x 9 x 1
Φ = 41.4 x 10⁴ Nm²/C
Therefore, the electric flux through the sheet is 41.4 x 10⁴ Nm²/C
