A Nonuniform Electric Field Is Directed Along the X-Axis at All

question 5

Multiple Choice

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E₁ and E₂, at the ends of the cylindrical surface, have magnitudes of 6000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface?

• A) -160 N ∙ m²/C
• B) -350 N ∙ m²/C
• C) 0.00 N ∙ m²/C
• D) +350 N ∙ m²/C
• E) +160 N ∙ m²/C

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Definitions:

Concentration Differences

Variations in the amount of a particular substance within a given volume, leading to a gradient that can cause diffusion.

Sodium-Potassium Pump

A membrane-bound ATPase enzyme that pumps sodium out of cells while moving potassium into cells, crucial for maintaining cellular ion balance and membrane potential.

Plasma Membrane

A bi-layer of lipids and proteins that surrounds a cell, controlling the passage of substances in and out of the cell.

Membrane Potential

The electrical potential difference across a cell's plasma membrane, vital for the conduction of nerve impulses, muscle contraction, and transport processes.