Q3_Lesson 6 - Gauss's Law

Field lines

are visual representations of the electric field

strength of that particular electric field  

The summation of their number is equal to the ______________

Gauss’s Law

Mathematical relationship between charges, electric field, and electric flux

Gauss’s Law

Applicable for any given charge distribution and for any closed surface

• Calculate the electric field if the charge distribution is provided  

• Calculate the charge distribution if the magnitude of the electric field is given  

Gauss’s Law can be used to

Gauss’s Law

States that in any closed surface, the electric flux is equivalent to the net charge inside the closed surface divided by the ε0, which is the electric constant that established the direct proportionality between field intensity and electric displacement in a given region

Gauss’s Law

postulated that the total electric flux passing through a closed surface is considered zero unless the volume enclosed by this surface contains a net charge

Gaussian surface

“Enclosed surface” pertained to in Gauss’s Law that is usually imaginary, hypothetical, or arbitrary

Gauss’s Law

The equation of ___ basically states that the total electric flux passing through a closed surface is proportional to the net electric charge inside this closed surface, divided by the electric permittivity of free space, ε0

Sphere

Cylinder

Plane

Gauss’s Law is most beneficial when there is symmetrical charge distribution

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Symbol and Unit of
Electric Flux
Electric Field
Surface Area
Electric Charge
Permittivity of Free Space
Surface Charge Density
Linear Charge Density

radial, equal

The electric field’s direction is ____, and that the magnitude of the electric field is ___ throughout the spherical surface  

electric charge

The ______ is uniformly distributed along a long line, such as wire, and the charge present on the line contributes to the field at any point 

spherical symmetries.

For any given point charge, or any spherical charge distribution, use the formula for ________

cylindrical symmetries

For a uniform line charge, use the formula for

Field of a Charged Conducting Sphere (E=1Q/4(pi)(permittivity)(r²)

use this formula to solve the magnitude of the electric field of a charged conducting sphere (Spherical Symmetry) when the total charge (q) and radius ( r) are given

Field of a Charged Conducting Sphere (Q=(lambda)(L)

Use this formula to solve the total charge if the linear charge density and length are given

Field of a Uniform Line Charge (E=1(lambda)/2(pi)(permittivity)(r )

Use this formula to solve for the magnitude of the electric field of a uniform line charge (using cylindrical symmetry) if the linear charge density and radius are given

Field of a Uniform Line Charge (phi)(E) = 2(pi)(LE)= (lambda)L/(permittivity)

Use this formula to solve the electric flux passing through the cylindrical Gaussian surface if the linear charge density and length