Chapter 3: Electric Flux Density, Gauss' Law, Divergence

Quiz

1. The volume charge density associated with the electric displacement vector in spherical coordinates is

0

1

Not compatible



2.The divergence theorem

Relates a line integral to a surface integral

Holds for specific vector fields only

Works only for open surfaces

Relates a surface integral to a volume integral



3. The flux of a vector quantity crossing a closed surface

Is always zero

Is related to the quantity’s component normal to the surface

Is related to the quantity’s component tangential to the surface

Is not related in any way to the divergence of that vector quantity



4. The flux produced by a given set of fixed charges enclosed in a given closed region is

Dependent on the surface shape of the region, but not the volume

Dependent on the total volume of the region, but not the surface shape

Dependent on the ratio of volume to surface area of the region

Not dependent on any of these as long as the charges are inside the region



5. Consider charges placed inside a closed hemisphere. Consider the flux due to these charges through the curved regions (Flux A) and through the flat region (Flux B)

Flux A = Flux B

Flux A > Flux B

Flux A < Flux B

Not enough information to decide the relation between Flux A and Flux B