Krista Siren - 555D AP Physics C Unit 3A: Gauss's Law

Understand the relationship between electric field and electric flux so they can:

Calculate the flux of an electric field through an arbitrary surface or of a field uniform in magnitude over a Gaussian surface and perpendicular to it (APCIIIA3a1) (Knight 27.1, 27.4)
Calculate the flux of an electric field through a rectangle when the field is perpendicular to the rectangle and a function of one coordinate only (APCIIIA3a2) (Knight 27.3, 27.4)
State the relationship between flux and lines of force (APCIIIA3a3) (Knight 27.2)

Understand Gauss’s Law so they can:

State the law in integral form, and apply it qualitatively to relate flux and electric charge for a specified surface (APCIIIA3b1) (Knight 27.4, 27.5)
Apply the law, along with symmetry arguments, to determine the electric field for a planar, spherical, or cylindrically symmetric charge distribution (APCIIIA3b2) (Knight 27.1, 27.4, 27.5)
Apply the law to determine the charge density or total charge on a surface in terms of electric field near the surface (APCIIIA3b3) (Knight 27.5)

Use the principle of superposition to calculate by integration

The electric field of a straight, uniformly charged wire (APCIIIA4a1) (Knight 27.5)
The electric field and potential on the axis of a thin ring of charge, or at the center of a circular arc of charge (APCIIIA4a2) (Knight 27.5)
The electric potential on the axis of a uniformly charged disk (APCIIIA4a3) (Knight 27.5)

Know the fields of highly symmetric charge distributions, so they can:

Identify situations in which the direction of the electric field produced by a charge distribution can be deduced from symmetry considerations (APCIIIA4b1) (Knight 27.1, 27.5)
Describe qualitatively the patterns and variations with distance of the electric field of:
Use superposition to determine the fields of parallel charged planes, coaxial cylinders, or concentric spheres (APCIIIA4b3) (Knight 27.5, 27.6)

Students should be able to describe and sketch a graph of the electric field inside and outside a charged conducting sphere. (APCIIIB1b) (Knight 27.5, 27.6)

Understand cylindrical and spherical capacitors, so they can:

Describe the electric field inside each. (IIIB2c1) (Knight 27.1, 27.5)

Students should understand the nature of electric fields in and around conductors, so they can:

Explain the mechanics responsible for the absence of electric field inside a conductor, and know that all excess charge must reside on the surface of the conductor. (APCIIIB1a1) (Knight 25.3, 27.6)
Explain why a conductor must be an equipotential, and apply this principle in analyzing what happens when conductors are connected by wires. (APCIIIB1a2) (Knight 29.4)
Show that all excess charge on a conductor must reside on its surface and that the field outside the conductor must be perpendicular to the surface. (APCIIIB1a3) (Knight 25.3, 27.6)

Students should understand induced charge and electrostatic shielding, so they can:

Explain why there can be no electric field in a charge-free region completely surrounded by a single conductor, and recognize consequences of this result. (APCIIIB1c3) (Knight 27.6)
Explain why the electric field outside a closed conducting surface cannot depend on the precise location of charge in the space enclosed by the conductor, and identify consequences of this result. (APCIIIB1c4) (Knight 27.6)

555D AP Physics C Unit 3A: Gauss's Law

Links