PHYS152Fall2013ExamReview1

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Unformatted text preview: wo surfaces Find the capacitance for a parallel plate capacitor: ○ ● Find the capacitance for a spherical shell capacitor: ○ ● Adding capacitors in parallel: Energy stored in a Capacitor ○ ● Adding capacitors in series: Capacitors in Parallel ○ ● C= Capacitors in Series ○ ● C= U= Dielectrics ○ How do dielectrics affect electric field? PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] Problem 1 Coulomb's Law Consider 4 charges of mass m are glued to the four corners of a square of side L. The two charges on the left side of the square have a charge of +q. The other two charges have a charge of ­q. 1. Calculate the x and y components of the total electric force on the bottom left charge. 2. Write an expression for the total potential energy U that was needed to assemble the above system of four charges. Problem 2 Coulomb’s Law A ring with charge per unit length λ and radius R is situated in the xy plane. a) What is the electric field at a point P along the axis of the ring, a distance z above the center? b) What is the electric potential due to the ring? PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] c) What is the electric potential for a point P where z>>R? d) Now imagine that two point charges, +q and ­q, are placed at locations y = a and y = ­a, such that a < R. What is the new net electric field due to this charge array? (Hint: Use superposition) Problem 3 Gauss’s Law A total charge Q is distributed evenly through a sphere of radius a, with a charge density of α . That sphere is then surrounded by an additional shell of charge ­ with total charge q, charge density β , inner radius b, and outer radius c. a) Find expressions for α and β. b) Compute the Electric Field for r>...
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This note was uploaded on 01/28/2014 for the course PHYS 152 taught by Professor Judge during the Fall '09 term at USC.

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