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Calculate the electric flux through the plane in n ⋅ m2/c.

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Final answer:

Electric flux is calculated based on the uniform electric field's magnitude, the surface area, and the cosine of the angle between the field and the normal to the surface.

Step-by-step explanation:

The concept of electric flux is a measure of the number of electric field lines passing through a surface. For a uniform electric field E and a surface area A inclined at an angle θ, the electric flux Φ can be calculated using the formula Φ = EA cos(θ). When the field is perpendicular to the surface, θ is 0°, leading to a maximum flux. If the angle increases up to 90°, the flux decreases to zero because the electric field becomes parallel to the surface and no field lines pass through it.

For example, if the electric field has a magnitude of 10 N/C and the surface area is 6 m², inclined at an angle of 30° to the field, the flux would be Φ = 10 N/C × 6 m² × cos(30°).

Following the provided information, the electric flux is calculated respecting the angle between the electric field direction and the normal to the surface, considering both possible orientations of the normal.

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