Nominal Crystal Frequency of Wide Variations in Oscillation of Circuit | 055 041, Assignments of Microelectronic Circuits

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055:041 Electronic Circuits Fall 2006

Homework 9 Solutions

055:041 Electronic Circuits Fall 2006 Homework 9 Solutions M1 Ris= ——7y_ 21, inh{ v2 SSI Vr 9.47 (a) For identical diodes in P9.48, KCL and Eq. (3.32) give i= I,e"Vr— 1)—1{e""r— 1) = Ler eM) = 21 sinh = Lew -e7) 21,sinh{ y-) 6) = . Since sinh(x) is an odd function, 21, sinh| <<} — sinh{ —+ Vr, Mr (©) For Vi = 0, Rys oes =1.25x107Q . Rys(0.25) = s 1,13x1209 O. Rys(0.50) = 1.03x1205 2, Rps(0.55) = 1.53x1204Q. PROB7.5-8 COUT 1 0 2894P *CIN 2 0 32.2P CIN 2 0 35.4P fe PRe 2 3:5P R34 15K CS 2 3 0,0235P L41 137 RX1 10 1000MEG RX2 20 1000MEG IIN02AC1 -PLOT AC VP(1) -AC LIN 100 85K 95K -END 9.58 The SPICE code is 0.0235 pF : 15k 4 137H 3.5 pF 32.2 pF 2894 pF SPICE output showed 180° phase shift at frequencies of 88.715 kHz and 88.985 KHz for the first Cin value. For the second, the frequencies were virtually the same. Oscillations are near the 90 kHz nominal crystal frequency in spite of wide variations in the other component values.