Charges Learning Targets 
Rating 
(A) Students should be able to use the principle of superposition to calculate by integration: 
(1) The electric field of a straight, uniformly charged wire. 

(2) The electric field and potential on the axis of a thin ring of charge, or at the center of a circular arc of charge 

(3) The electric potential on the axis of a uniformly charged disk. 

(B) Students should know the fields of highly symmetric charge distributions, so they can: 
(1) Identify situations in which the direction of the electric field produced by a charge distribution can be deduced from symmetry considerations 

(2) Describe qualitatively the patterns and variation with distance of the electric field of oppositelycharged parallel plates. 

(3) Describe qualitatively the patterns and variation with distance of the electric field of a long, uniformlycharged wire, or thin cylindrical or spherical shell. 

(4) Derive expressions for electric potential as a function of position in the above cases. 

Gauss Learning Targets 
(A) Students should understand the relationship between electric field and electric flux, so they can: 
(1) 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. 

(2) Calculate the flux of the electric field through a rectangle when the field is perpendicular to the rectangle and a function of one coordinate only. 

(3) State and apply the relationship between flux and lines of force. 

(B) Students should understand Gauss’s Law, so they can: 

(1) State the law in integral form, and apply it qualitatively to relate flux and electric charge for a specified surface. 

(2) Apply the law, along with symmetry arguments, to determine the electric field for a planar, spherical, or cylindrically symmetric charge distribution. 

(3) Apply the law to determine the charge density or total charge on a surface in terms of the electric field near the surface. 

Electric Potential/Potential Difference/Electric Potential Difference/ Volts 
FIELDS AND POTENTIAL OF OTHER CHARGE DISTRIBUTION 
(A) Students should be able to use the principle of superposition to calculate by integration: 
(1) The electric field of a straight, uniformly charged wire. 

(2) The electric field and potential on the axis of a thin ring of charge, or at the center of a circular arc of charge 

(3) The electric potential on the axis of a uniformly charged disk. 

(B) Students should know the fields of highly symmetric charge distributions, so they can: 
(1) Identify situations in which the direction of the electric field produced by a charge distribution can be deduced from symmetry considerations 

(2) Describe qualitatively the patterns and variation with distance of the electric field of oppositelycharged parallel plates. 

(3) Describe qualitatively the patterns and variation with distance of the electric field of a long, uniformlycharged wire, or thin cylindrical or spherical shell. 

(4) Derive expressions for electric potential as a function of position in the above cases. 
