PHYS152Fall2013ExamReview1

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Unformatted text preview: ;c. PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] c) Compute the electric field for b<r<c. d) Compute the electric field for a<r<b. e) Compute the electric field for r<a. Problem 4 Gauss’s Law A point charge +Q is positioned at the center of a spherical conducting shell with an inner radius a and an outer radius b. a) What is the E field for r>b? b) What is the E field for a<r<b? PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] c) What is the E field for r<a? d) What is the electric potential for r>b? e) What is the electric potential for a<r<b? f) What is the electric potential for r<a? Problem 5 Electric Potential and Electric Potential Energy Consider an infinite plane of charge where the charge per area is α . Assume you are in a vacuum. a) Use Gauss’s Law to determine an equation for the Electric Field for x>0. PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] b) Let the potential at x = 0 be equal to an arbitrary constant of 0. Find a function for the electric potential for x>0. c) What is the potential energy of a charge q as a function of x for x>0? d) If a particle of mass m and charge q is shot out of a gun at x = 0 with a speed V in the + x­direction, at which value of x does it reach its maximum speed? Problem 6 Capacitance Find the equivalent capacitance of this system if each capacitor has capacitance C. PHYS 152 Fall 2013 Supplemental Instruction Matt Lui and Anjali Shah [email protected] Problem 7 Capacitance Multiple dielectrics Consider two nested cylindrical conductors of leng...
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