[L1] Gauss' Law

electric flux

the measure of “flow” of electric field through a surface

gauss’ law

this states that there is a net outward or inward electric flux through a closed surface depending on the sign of the enclosed charge

sign of the enclosed charge

gauss’ law states that there is a net outward or inward electric flux through a closed surface depending on the ____

gauss’ law

this states that charges outside the surface do not give a net electric flux through a surface

do not

gauss’ law states that charges outside the surface ____ give a net electric flux through a surface

gauss’ law

this states that the net electric flux is directly proportional to the net amount of charge within the surface but is otherwise independent of the size of the enclosed surface

net electric flux

gauss’ law states that the ____ is directly proportional to the net amount of charge within the surface but is otherwise independent of the size of the enclosed surface

gauss’ law

this primarily states that the total electric flux through any closed surface (a surface enclosing definite volume) is proportional to the total/net electric charge inside the surface

total electric flux

gauss’ law’s main statement is that the ____ through any closed surface (a surface enclosing definite volume) is proportional to the total/net electric charge inside the surface

proportional

gauss’ law’s main statement is that the total electric flux through any closed surface (a surface enclosing definite volume) is ____ to the total/net electric charge inside the surface

total/net electric charge inside the surface

gauss’ law’s main statement is that the total electric flux through any closed surface (a surface enclosing definite volume) is proportional to the ____

carl friedrich gauss

he invented the gauss’ law

carl friedrich gauss

known for electromagnetism, number theory, statistics, non-euclidean geometry, cometary orbital mechanics

carl friedrich gauss

he is a founder of the german magnetic union which studies the earth’s magnetic field

gauss’ law

this is an expression of the general relationship between the net electric flux through a closed surface and the charge enclosed by the surface

gauss’ law

states that the closed surface is often called a gaussian surface

gaussian surface

the closed surface is often called a ____

gauss’ law

this is of fundamental importance as it provides a different way to express the relationship of electric charge and electric field

electric charge, electric field

gauss’ law is of fundamental importance as it provides a different way to express the relationship of ____ and ____

flux

the ____ is independent of the radius of the sphere. it depends only on the charge enclosed by the su

radius

the flux is independent of the ____ of the sphere. it depends only on the charge enclosed by the sphere

charge enclosed by the sphere

the flux is independent of the radius of the sphere. it depends only on the ____

permittivity of free space

a measure of how much an electric field affects, and is affected by, a dielectric medium

the same (electric field decreases, area increases, cancelling each other out)

every field line passes through the smaller and larger sphere radii. the flux through these two spheres is ____

the same

the net electric flux is ____ through all surfaces

independent

net flux through any closed surface surrounding a point charge q is ____ of the shape of the surface

zero (since the field lines just passes through the objects surface. the field lines enter and leave through the surface (through imaginary holes)

if the charge is outside the closed surface with an arbitrary shape, the electric flux is ____

the charge is outside the closed surface with an arbitrary shape

if a field line enters the surface and leaves at another point, this means that

zero

electric flux through a closed surface that surrounds no charge is ____

symmetry

in choosing the right gaussian surface, always take advantage of ____ to make “electric field” same everywhere of a gaussian surface

electric field

in choosing the right gaussian surface, always take advantage of symmetry to make “____” same everywhere of a gaussian surface

gaussian surface

an imaginary closed surface used in Gauss's Law to calculate the electric field due to a charge distribution

spherical gaussian surface (expressed as a cylinder)

this is the right gaussian surface for a uniform and symmetrical point charge

doesn’t match the symmetry of the electric field

no one will stop you from choosing any gaussian surface, but a gaussian surface that ____ is not very useful

zero

when electric field is 0 everywhere in the gaussian surface, gauss’ law requires that the net charge inside the surface is ____

electrostatic (charges not in motion)

under ____ conditions, any excess charge on a solid conductor resided entirely on the conductor’s surface

excess charge

under electrostatic conditions (charges not in motion), any ____ on a solid conductor resided entirely on the conductor’s surface

solid conductor

under electrostatic conditions (charges not in motion), any excess charge on a ____ resided entirely on the conductor’s surface

conductor’s surface

under electrostatic conditions (charges not in motion), any excess charge on a solid conductor resided entirely on the ____

surface of conductor

where does the excess charge (qc) within the conductor reside in electrostatic conditions

zero

what is the electric field within a conductor in electrostatic conditions

outside (by the surface of the conductor)

in electrostatic conditions, excess charge inside conductors is ____ the gaussian surface

gaussian surface

if there is no charge within the cavity of the conductor, we can use a ____ to show that the net charge on the surface of the cavity must be zero, because electric field is zero everywhere on the gaussian surface

zero

if there is no charge within the cavity of the conductor, we can use a gaussian surface to show that the net charge on the surface of the cavity must be ____, because electric field is zero everywhere on the gaussian surface

electric field

if there is no charge within the cavity of the conductor, we can use a gaussian surface to show that the net charge on the surface of the cavity must be zero, because ____ is zero everywhere on the gaussian surface

the flux will remained unchanged

if all the dimensions of the box are increased by a factor of 3, what effect will this change have on the electric flux through the box?