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There exists an electric field of 100 N C⁻¹ along the X-direction. The flux passing through a square of 10 cm sides placed on the XY plane inside the electric field is ______ N m² C⁻¹.

Asked in GSEB Board March 2020 (old course) · Electric flux through a surface

Answer: (4) zero

Step-by-step solution

Given: ⃗E=100 N C⁻¹ along X; a square of side 0.10 m lying in the XY plane.

Idea: the flux through a flat surface is φ=⃗E·⃗A=EA cos θ, where θ is the angle between the field and the normal to the surface.

A square lying in the XY plane has its normal along the Z-axis.

The field is along X, perpendicular to Z, so θ=90°.

φ=(100)(0.10)² cos 90°=0

The field lines run along the square, never through it, so the flux is zero.

Why the other options are wrong

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