Gauss' Law Flashcards Preview

Electricity & Magnetism > Gauss' Law > Flashcards

Flashcards in Gauss' Law Deck (18)
Loading flashcards...
1

q is proportional to

# of lines

2

flux

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

Flux for a uniform E field

Øe = E dot A

4

A (area vector)

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

5

Flux is proportional to

the # of field lines piercing surface

6

E is proportional to

Line density

7

line density equals

the # of field lines/A

8

EA is proportional to

the number of field lines

9

hypothetical surface

imaginary closed surface

10

E in a nonuniform electric field surface

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

11

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

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

12

Gaussian Surface

Hypothetical Closed 3D surface

13

Surface area of sphere formula

A = 4πr^2

14

Gauss' Law

Øe = ∫E • dA = qenclosed/εnaught

15

Spherical Symmetry

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

16

η

Surface Charge Density (eta)

17

Surface Charge Density formula

η = Q/A = qen/A

18

Inside a sphere conductor, the electric field

The electric field is 0. No net charges.