Question

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located A) at the origin. B) at x = 0, y = 0, z = R/2. C) at x = 0, y = R/2, z = 0. D) at x = R/2, y = 0, z = 0. E) The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.

          Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

A) at the origin.
B) at x = 0, y = 0, z = R/2.
C) at x = 0, y = R/2, z = 0.
D) at x = R/2, y = 0, z = 0.
E) The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.

Consider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located

A) at the origin.
B) at x = 0, y = 0, z = R/2.
C) at x = 0, y = R/2, z = 0.
D) at x = R/2, y = 0, z = 0.
E) The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.

Added by Arthur D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

02/15/2022

Step 1

Step 1: The total flux through a closed surface depends on the charge enclosed by that surface and by Gauss's Law, which states that the electric flux through a closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space. Show more…

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Consider a spherical Gaussian surface of radius R centered at the origin: charge Q is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located: A) at the origin B) at x=0, y=0, z=R/2 C) at x=0, y=R/2, z=0 D) at x=R/2, y=0, z=0 E) The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.