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# GRAPHNETWORK THEOR MATH 137A

UCSB

GPA 3.66

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This 45 page Class Notes was uploaded by Estevan Champlin Sr. on Thursday October 22, 2015. The Class Notes belongs to MATH 137A at University of California Santa Barbara taught by Staff in Fall. Since its upload, it has received 51 views. For similar materials see /class/226887/math-137a-university-of-california-santa-barbara in Mathematics (M) at University of California Santa Barbara.

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Date Created: 10/22/15

ECE 137 A MidTerm Exam February 15 2001 Do not open exam until instructed to Closed book Crib sheet and 1 page personal notes permitted There is one problem on this exam parts AF and your have 50 minutes Use any and all reasonable approximations Name Problem 1 100 points You will be working on the circuit below Vcc R02 Couz Vouz RL Rea02 Cee I ReeZ Q1 and Q2 beta75 Va200 Volts Rbl 10 kOhm Reel R02 RL1 kOhm Rgenl kOhm Ree2 Rea0225 Ohm Vcc 10 Volts Vee 10 Volts Cout and Cee are very big Part a 10 points DC bias Ql is to be biased with 1 mA emitter current Q2 is to be biased with 5 mA collector current The collector of Q2 is to be biased at 5 Volts Find Reel Ree2 Rc2 Part b 10 points DC bias Vcc R02 Cout Vout RL ReacZ Cee I Ree2 On the circuit diagram above label the DC voltages at ALL nodes and the DC currents through ALL resistors Part b 10 points Find the small signal parameters of Q1 and Q2 Give the values in the table below Transistor Ie re rn r0 Q1 Q2 Part c 20 points Find the small signal voltage gain VCZVbZ of Q2 and Q239s smallsignal input resistance VCZVbZ Rinq2 Partd 20 points Find the small signal voltage gain velVbl of Q1 and the ampli er input resistance velVbl Rin ampli er Part e 10 points Find Vout Vin VinVgen and VoutVgen Vout Vin VinVgen VoutVgen Part f 20 points Find the maximum peakpeak output voltage show all your work speci cally show the limits of the output swing arising from cutoff and saturation of Q1 and Q2 COMMONSENSE POINT NOTE THAT THE MAX SWINGS of Q1 must be multiplied by the gain of Q2 in order to nd their corresponding limit on output voltage Cutoff of Q1 Maximum AVout resulting Saturation of Q1 Maximum AVout resulting Cutoff of Q2 Maximum AVout resulting Saturation of Q2 Maximum AVout resulting Maximum PeakPeak output ECE 137 A MidTerm Exam February 9 2004 Do not open exam until instructed to Closed book Crib sheet and 1 page personal notes permitted There are 2 problems on this exam and your have 50 minutes Use any and all reasonable approximations 5 accuracy is ne AFTER STATING and approximately J usti zing THEM Name Problem 1 70 points You will be working on the circuit below Vcc Ree1 Rd2 Cin I Vin Rgen EIgt Vgen I Cout RL RC1 Vee Q1 100 VA 50 V Q2 Vm 05 Volts VWCMWg 5 mNV l 120 Volts Vcc5 volts Vee5 volts Rgen100 Ohm Ree1 Rcl Rd2 Cin and Cout are very big and have negligible AC impedance Vout RL1 kOhm Part a 5 points DC bias Q1 is to be biased with 01 mA emitter current Q2 is to be biased with 1 mA source current The circuit is to be biased such that the DC drain voltage of Q2 is zero Volts Find Reel Rc 1 Rd2 Part b 5 points DC bias Rgen Vee I Vout Cout RL On the circuit diagram above label the DC voltages at ALL nodes and the DC currents through ALL resistors Part c 5 points Find the small signal parameters of Q1 and Q2 Transistor Q 1 gm RceR0 Transistor Q2 gm Rds Part d 15 points Find the small signal voltage gain Vd2Vg2 of Q2 and Q239s smallsignal input resistance deng Rinq2 Paltd 15 points Find the small signal voltage gain Vc lVel of Q1 and the ampli er input resistance VclVel Rinampli er Part f 5 points Find Vout Vin VinVgen and VoutVgen Vout Vin VinVgen VoutVgen Part g 20 points Find the maximum peakpeak output voltage show all your work speci cally show the limits of the output swing arising from cutoff and saturation of Q1 and Q2 Cutoff of Q1 Maximum AVout resulting Saturation of Q1 Maximum AVout resulting Cutoff of Q2 Maximum AVout resulting Knee voltage of Q2 Maximum AVout resulting Maximum PeakPeak output Problem 2 30 points nodal analysis You will be working on the circuit to the 1quotquot left gt Vin Vow Ignore DC bias analysis You don t need it The two transistors have transconductance gml and gm2 respectively Their output Q3 Q7 resistances Rdsl and Rds2 are both in nity Parta 12 points Draw a smallsignal equivalent circuit of the circuit Part b 13 points Find by nodal analysis smallsignal expressions for VoutVin VinIinRin ECE 137 A MidTerm Exam February 10 2003 Do not open exam until instructed to Closed book Crib sheet and 1 page personal notes permitted There are 2 problems on this exam and your have 50 minutes Use any and all reasonable approximations 5 accuracy is ne AFTER STATING THEM Name Problem 1 70 points You will be working on the circuit below Vdd Vout Rgen RL Vgen Vss Q1 Q2 Vm 1 Volts vang 25 mNV A 150 Volts Vdd5 volts Vss5 volts Rgen100 kOhm RL10 kOhm Rgll MegOhm Rssl Rd2 Cout is very big and has negligible AC impedance Part a 5 points DC bias Q1 and Q2 are to each be biased with 1 mA source current The circuit is to be biased such that the DC drain voltage of Q2 is 25 Volts Find Rssl Rd2 Part b 5 points DC bias Vdd Vout Vss On the circuit diagram above label the DC voltages at ALL nodes and the DC currents through ALL resistors Part b 5 points Find the small signal parameters of Q1 and Q2 Transistor Q 1 gm RdsR0 Transistor Q2 gm RdsR0 Part c 15 points Find the small signal voltage gain Vd2Vg2 of Q2 and Q239s smallsignal input resistance Vd2Vg2 Rinq2 Paltd 15 points Find the small signal voltage gain vslVgl onl and the ampli er input resistance vs lVgl Rinampli er Part e 5 points Find Vout Vin VinVgen and VoutVgen Vout Vin VinVgen VoutVgen Part f 20 points Find the maximum peakpeak output voltage show all your work speci cally show the limits of the output swing arising from cutoff and saturation of Q1 and Q2 Cutoff of Q1 Maximum AVout resulting Knee voltage of Q1 Maximum AVout resulting Cutoff of Q2 Maximum AVout resulting Knee voltage of Q2 Maximum AVout resulting Maximum PeakPeak output Problem 2 30 points nodal analysis You will be working on the circuit to the left Ignore DC bias analysis You don t need it The two transistors have transconductance gml and gm2 respectively Their output resistances Rdsl and Rds2 are both in nity VOLI Parta 15 points Draw a smallsignal equivalent circuit of the circuit Part b 15 points Find by nodal analyis smallsignal expressions for VoutVin VinIinRin Part c 15 points gm110 mS gml 20 mS Rd11k0hm Rs2 Give numerical expressions for VoutVin VinIinRin ECE 137 A MidTerm Exam February 7 2005 Do not open exam until instructed to Closed book Crib sheet and 1 page personal notes permitted There are 2 problems on this exam and your have 50 minutes Use any and all reasonable approximations 5 accuracy is ne AFTER STATING and approximately J usti zing them Name Problem 1 70 points You will be working on the circuit below Vout 39Vdd 39Vdd 91 Q1 IVMI1 Volts vang 2 mNV A 0 Pchannel enhancment mode device Q2 200 VA 75 V Vss10 volts Vdd 10 volts Rgenl MOhm RL500 Ohm Rgl2 MOhm Reac250 Ohm Rssl Ree2 Rc2 C E and Cout are very big and have negligible AC impedance Part a 5 points DC bias Ql is to be biased with 3 mA source current Q2 is to be biased with 10 mA emitter current The circuit is to be biased such that the DC collector voltage of Q2 is 3 Volts Find Rssl Ree2 Rc2 Part b 5 points DC bias R gen Vin Vgen 39Vdd 39Vdd R91 On the circuit diagram above label the DC voltages at ALL nodes and the DC currents through ALL resistors Part c 5 points Find the small signal parameters of Q1 and Q2 Transistor Q 1 gm Rds Transistor Q2 gm Ree Rbe Part d 15 points Find the small signal voltage gain VcZVbZ of Q2 and Q239s smallsignal input resistance VcZVbZ Rinq2 Paltd 15 points Find the small signal voltage gain Vs lVgl of Q1 and the ampli er input resistance VslVgl Rinampli er Part f 5 points Find Vout Vin VinVgen and VoutVgen Vout Vin VinVgen VoutVgen Part g 20 points Find the maximum peakpeak output voltage show all your work speci cally show the limits of the output swing arising from cutoff and saturation of Q1 and Q2 Cutoff of Q1 Maximum AVout resulting Knee voltage of Q1 Maximum AVout resulting Cutoff of Q2 Maximum AVout resulting Saturation of Q2 Maximum AVout resulting Maximum Undistorted Sinusoidal PeakPeak output Problem 2 30 points nodal analysis You will be working on the circuit to the left Q1 Vout Ignore DC bias analysis You don t need it The two transistors have transconductance Q 2 gml and gm2 respectively Their output V resistances Rdsl and Rds2 are both in nity Parta 12 points Draw a smallsignal equivalent circuit of the circuit Part b 13 points Find by nodal analysis a smallsignal expression for VoutVin VoutVin

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