4B_SP10_con06_26 - Physics 4B Spring 2010 Conference #6 -...

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Unformatted text preview: Physics 4B Spring 2010 Conference #6 - Capacitors 1. (Ch. 26 Exercise 18) All the capacitors in Fig. 26.25 are identical, with C = 1 µF. What is their equivalent capacitance? 2. (modified from Ch. 26 Exercise 31) Consider the arrangement of capacitors shown in Fig. 26.26. Find (a) the total energy stored by all the capacitors and (b) the energy stored by each capacitor. 3. (Ch. 26 Problem 12) (a) Find the energy density as a function of r for a cylindrical capacitor with an inner wire of radius a, outer conductor of radius b, and linear charge density λ . (b) What is the total energy stored in a length L of the capacitor? (c) Compare you result with a calculation based on ½ QV. Equations: Q = CV , U= 1 1 1 = + + ..., Cs C1 C2 Cparallel = C1 + C2 + ..., 1 u = 2 ε0E 2 1 Q2 1 1 = CV 2 = QV , 2C 2 2 Answers: 1. 0.366 µF, 2. (a) 727.3 J, (b) U5 = 528.9 µJ, U12 = 178.5 µJ, U2 = 13.2 µJ, kλ 2 U4 = 6.6 µJ, 3. (a) , (b) k λ 2 L ln ( b / a ) 2 2π r ...
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This note was uploaded on 11/17/2010 for the course PHYC 93456 taught by Professor Afdsadsf during the Spring '09 term at City College of San Francisco.

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