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m edugen.wileyplus.com Wiley PLUS Introductory Physics (PHYS 1303, 1304, 1307, 1308) Halliday, Fundamentals of Physics, 10e Read, Study Practice Assignment Open Assignment Chapter 31, Problem 014 To construct an oscillating LC system, you can choose from a 12 mH inductor, a 6.7 uF capacitor, and a 3.7 uF capacitor. What are the (a) smallest, (b) second smallest, (c) second largest, and (d) largest oscillation frequency that can be set up by these elements in various combinations? (a) Number units units Number units Click if you would like to Show Work for this question: Question Attempts o of s used SAM ron LATE SABMITANSAERI

Explanation / Answer

L = 12 mH = 0.012 H
C1 = 6.7 uF
C2 = 3.7 uF
When connected in series, = (C1*C2)/(C1+C2) = (6.7 * 3.7)/(6.7 + 3.7) = 2.38 uF
When connected in parallel, = C1+C2 = 6.7 + 3.7 = 10.4 uF

f = 1/(2*sqrt(LC)

f1 = 1/(2*sqrt(0.012 * 10.4 * 10^-6)) = 450.5 Hz
f2 = 1/(2*sqrt(0.012 * 6.7* 10^-6)) = 561.3 Hz
f3 = 1/(2*sqrt(0.012 * 3.7 * 10^-6)) = 755.3 Hz
f4 = 1/(2*sqrt(0.012 * 2.38 * 10^-6)) = 941.76 Hz

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