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What is the flux of a uniform electric field through the area if the field has the area vector?

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Final answer:

The electric flux is calculated using the formula Φ = E ⋅ A; in the given problem, the flux through a square sheet in a uniform electric field is 4.4 x 10^4 Nm^2/C.

Step-by-step explanation:

To calculate the electric flux through a surface when a uniform electric field is present, the formula Φ = E ⋅ A can be used, where Φ is the flux, E is the magnitude of the electric field, and A is the area vector through which the field lines pass. The area vector is perpendicular to the surface and has a magnitude that equals the area of the surface. For problem 6.1, the uniform electric field is perpendicular to the square sheet, so the flux is simply the product of the electric field strength and the area of the sheet.

In the case given, the electric field magnitude is 1.1 x 104 N/C, and the area of the square sheet is (2.0 m) x (2.0 m) = 4.0 m2. The flux, Φ, is therefore calculated by multiplying the electric field, E, by the area, A, giving Φ = (1.1 x 104 N/C) ⋅ (4.0 m2) = 4.4 x 104 Nm2/C, which is the answer to problem 6.1.

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