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I\'m stuck on a true/false question that I can\'t wrap my head aroundif anyone c

ID: 1666538 • Letter: I

Question

I'm stuck on a true/false question that I can't wrap my head aroundif anyone could give their second opinion. My originalresponses will be off to the side of question and in (...)

A point charge +q is at the origin. A spherical Gaussiansurface centered at the origin encloses +q. So does acubical surface centered at the origin and with edges parallel tothe axes. Select "True" or "False" for each statement below.

If the radius of the spherical Gaussian Surface is varied, the fluxthrough it also varies.
T/F? (answered True)
By symmetry, the E-Field at all points on the cubical surface iszero.
T/F? (answered False)
The area vector and the E-Field vector point in the same directionfor all points on the spherical surface.
T/F? (answered False)
Suppose (for this statement only), that q is moved fromthe origin but is still within both the surfaces. The flux throughboth surfaces remains unchanged.
T/F? (answered True)
The Electric Flux through the spherical surface is greater thanthat through the cubical surface.
T/F? (answered False)

please help explain

Explanation / Answer

If the radius of the spherical Gaussian Surface is varied, theflux through it also varies.
T/F? (answered True)
Ambiguous. The total flux through the surface isconstant (false), but the flux through any particular point on thesurface varies with the distance and the angle of the surfacewith respect to source (True). I'd go with false looking atthe total flux through the surface. .
By symmetry, the E-Field at all points on the cubical surface iszero.
T/F? (answered False) Definately false.   Sure the E-field pointsin different directions but that doesn't make it zero. Imagine a light bulb instead. Light is just like an e-field.Do you see light coming out of a bulb? Likewise the e-fieldgoes through the surface and is not zero. . The area vector and the E-Field vector point in the samedirection for all points on the spherical surface.
T/F? (answered False) If the charge is at the center of the sphere, it willbe true. All points on the sphere are A).the same distance from the center of the sphere, and B).perpendicular to the radius. The vector for area is in thesame direction as the radius. It is perpendicular to thesurface. Likewise the flux vector is directed on a straightline out from the sphere. The vector for the area and theE-field will all point the same direction. .
Suppose (for this statement only), that q is moved fromthe origin but is still within both the surfaces. The flux throughboth surfaces remains unchanged.
T/F? (answered True) True. Flux is based on the charge. Justlike a light bulb, the total energy emitted or the total e-fieldemitted are constant. .
The Electric Flux through the spherical surface is greater thanthat through the cubical surface.
T/F? (answered False) Again, a bit ambiguous. Do they mean anyparticular surface or the entire surface. If you exam theentire surface, it is false. They are equal. . .