The electric field in a region of space is oriented along the positive y axis. A circle of radius R is placed in the xz-plane. The flux of the electric field through this circle is Φ. The same electric field passing through a second circle of radius 2R parallel to xz-plane would result in a flux equal to

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Quizplus · Accepted Answer

The electric flux through a surface is proportional to the area of the surface when the electric field is uniform and perpendicular to the surface. Since the second circle has a radius of 2R, its area is four times larger than the first circle (because area is proportional to the square of the radius). Therefore, the flux through the second circle is 4Φ.

The Electric Field in a Region of Space Is Oriented