Gauss's Law: a Nonuniform Electric Field Is Directed Along the X-Axis

question 36

Multiple Choice

Gauss's law: 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 and respectively, and are directed as shown. (ε₀ = 8.85 × 10^-12 C²/N ∙ m²) The charge enclosed by the cylindrical surface is closest to

• A) -1.1 nC.
• B) 1.1 nC.
• C) -2.4 nC.
• D) -4.8 nC.
• E) 4.8 nC.

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