# Gauss' Law Flashcards

1
Q

q is proportional to

A

of lines

2
Q

flux

A

Flux is a scalar quanity that provides a quantitative measure for the # of field lines crossing a surface. Flux is the measure of the exposure of the area to the electric field.

3
Q

Flux for a uniform E field

A

Øe = E dot A

4
Q

A (area vector)

A

The area vector is the vector perpendicular to the surface with the magnitude A.

5
Q

Flux is proportional to

A

the # of field lines piercing surface

6
Q

E is proportional to

A

Line density

7
Q

line density equals

A

the # of field lines/A

8
Q

EA is proportional to

A

the number of field lines

9
Q

hypothetical surface

A

imaginary closed surface

10
Q

E in a nonuniform electric field surface

A

E varies over the entire surface, in both magnitude and direction

11
Q

Typical calculus manoeuvre to resolve the problem of calculating flux of a nonuniform electric field.

A

Subdivide the surface area into many smaller areas over which E varies only slightly.

12
Q

Gaussian Surface

A

Hypothetical Closed 3D surface

13
Q

Surface area of sphere formula

A

A = 4πr^2

14
Q

Gauss’ Law

A

Øe = ∫E • dA = qenclosed/εnaught

15
Q

Spherical Symmetry

A

Constant r, so electric field is the same on all points of the surface.

16
Q

η

A

Surface Charge Density (eta)

17
Q

Surface Charge Density formula

A

η = Q/A = qen/A

18
Q

Inside a sphere conductor, the electric field

A

The electric field is 0. No net charges.