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CE Predict/Explain Gaussian surface 1 has twice the area

Chapter 19, Problem 61P

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QUESTION:

Problem 61P

CE Predict/Explain Gaussian surface 1 has twice the area of Gaussian surface 2. Both surfaces enclose the same charge Q. (a) Ts the electric flux through surface 1 greater than, less than, or the same as the electric flux through surface 2? (b) Choose the best explanation from among the following:

I. Gaussian surface 2 is closer to the charge, since it has the smaller area. It follows that it has the greater electric flux.

II. The two surfaces enclose the same charge, and hence they have the same electric flux.

III. Electric flux is proportional to area. As a result, Gaussian surface 1 has the greater electric flux.

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QUESTION:

Problem 61P

CE Predict/Explain Gaussian surface 1 has twice the area of Gaussian surface 2. Both surfaces enclose the same charge Q. (a) Ts the electric flux through surface 1 greater than, less than, or the same as the electric flux through surface 2? (b) Choose the best explanation from among the following:

I. Gaussian surface 2 is closer to the charge, since it has the smaller area. It follows that it has the greater electric flux.

II. The two surfaces enclose the same charge, and hence they have the same electric flux.

III. Electric flux is proportional to area. As a result, Gaussian surface 1 has the greater electric flux.

ANSWER:

Step 1 of 3

(a)

Here we need to comment whether the electric flux through the gaussian surface 1 is greater, less or same as that of the electric flux through gaussian surface 2. In the given case, the surface 1 has double the area of surface 2 and both encloses the same charge.

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