Identify an appropriate Gaussian surface. (cont.) The appropriate Gaussian surfa

Question

Identify an appropriate Gaussian surface. (cont.) The appropriate Gaussian surface is a concentric sphere with radius r >R, as illustrated by the dashed circle in the figure. Symmetry implies that the electric field is everywhere perpendicular to this surface and has constant magnitude Gaussian surface Apply Gauss's law. Applying Gauss's law means taking EA =-inside #0 and evaluating each term. The area A is the surface area of the chosen Gaussian surface and E, the electric field magnitude at this surface, is the unknown quantity to be determined. What is the correct expression for A, the surface area of the Gaussian sphere illustrated in the figure, where rR? O A=4m2 As 4tr3 O none of the above

Explanation / Answer

The correct expression for the Area A is:

A = 4 pi r^2

(4/3 pi r^3 is the formula for volume of the sphereical geometry).a

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