LULEÅ TEKNISKA UNIVERSITET Systemteknik, EISLAB Jonny Johansson Exam in Electronics Course code Exam date Location Exam time E0007E 2008-01-14 C840, C842 09.00 – 13.00 Grade 5 Grade 4 Grade 3 25 – 30 credits 20 – 24 credits 15 – 19 credits Teacher on call Jonny Johansson 0920-491703 Allowed aids BETA Calculator Course literature, i.e.: Sedra & Smith, Comer & Comer, Jaeger, or Horenstein Good Luck! 1(6) E0007E 2(6) SME129 Part I This part consists of 7 tasks. Each of these gives a choice of several answers, whereof only one is correct. Please choose one of the answers for each task. No motivation for your choice needs to be given. 1. (2 credits) A zener diode: A. B. C. D. 2. Can be used to give a stable reference voltage when driven with a reverse current. Has zero forward voltage drop. Is never used to regulate voltage. Has a fixed voltage drop of 0.7 V. (2 credits) The positive input (V+) and the negative input (V-) of an operational amplifier (op-amp) are often treated as having the same potential (“virtual short”). This is: A. B. C. D. 3. Always valid. Valid as long as the op-amp works linearly in a feed-back loop. Valid only when the op-amp is used as a comparator without feedback.. Wrong but still commonly used anyway. (2 credits) Which of the gates depicted below will not work properly? A. B. C. D. No. 1 No. 2 No. 3 No’s 1 & 2 A A B A B B Y Y Y A A B A B B 1) Figure 1. Gates for task 3. 2) 3) 3(6) SME129 4. (2 credits) Estimate the noise margin for low input (NML) for an inverter having the transfer function indicated in the graph below. A. B. C. D. NML ≈ 1.2 V NML ≈ 1.5 V NML ≈ 0.5 V NML ≈ 0.7 V vOUT (V) 5 5 vIN (V Figure 2. Inverter transfer characteristic for task 4. 5. (2 credits) Consider the following statements regarding the transconductance (gm) of a transistor: 1) gm for a MOS transistor is dependent on bias current only. 2) gm for a MOS transistor is dependent on a number of parameters, including transistor geometry. 3) gm for a BJT transistor is dependent on bias current only. 4) gm for a BJT transistor is dependent on a number of parameters, including transistor geometry. The combination grouping all true statements are: A. B. C. D. 1&3 2&3 2&3 2&4 4(6) SME129 6. (2 credits) Which sequence of actions is most appropriate when analyzing a transistor circuit ?: A. Draw small-signal schematic; analyze small signal schematic; calculate bias point; calculate small-signal parameters. B. Calculate small-signal parameters; draw small-signal schematic; analyze small signal schematic; calculate bias point;. C. Calculate bias point; analyze small signal schematic; draw small-signal schematic; calculate small-signal parameters. D. Calculate bias point; calculate small-signal parameters; draw small-signal schematic; analyze small signal schematic. 7. (2 credits) The primary mechanism that creates conduction between collector and emitter in a BJT is: A. Injections of carriers from emitter into base, diffusion of the carriers through the thin base, carriers swept over by electric field from base to collector. B. A thick base region that generates a vast amount of free carriers. C. The formation of an inversion layer under the base. D. Tunneling of electrons from collector to emitter at high collector-emitter voltage, with the base controlling the tunneling resistance. 5(6) SME129 Part II This part consists of three tasks. For each of these, a full solution is required. Please motivate approximations and assumptions that you make. 8. (5 credits) The transistor in figure 3 has β = 100. Design the BJT amplifier (i.e. choose RB1, RB2, RC, and RE) shown in figure 3 to have a total midband gain (vout/vsig) of about -60 V/V with a bias current of about 1 mA. Ignore the output resistance (ro) of the transistor. +6 V +6 V RB1 RC 10 µF 10 µF + 10 µF 10 kΩ + - - RB2 vsig vout RE Figure 3. Amplifier schematic for task 8. 9. (6 credits) An OP07 is used in the non-inverting configuration as shown in figure 4. Please use the data sheet attached to this exam and perform the following calculations. Use typical parameter values at 25 degrees C for a power supply of ±15 V: A. Choose the resistor R to minimize the influence of input bias currents. B. Calculate the worst case output DC voltage that will result from input offset voltages and currents. C. Calculate the bandwidth of the design. D. Calculate at what frequency the output signal will be slew rate limited when an input signal amplitude of 0.5 V is used. 6(6) SME129 R + OP07 + + - 10 kΩ vIN vOUT 560 Ω Figure 4. Schematic for task 9. 10. (5 credits) Consider the circuit shown in figure 5 below. Draw the full small-signal schematic and calculate the overall midband voltage gain (Gv = vout/vsig) of the amplifier. Ignore the output resistance (ro) of the transistor. +12 V 56 kΩ Transistor param. (W/L) = 10 k’n = 140 µA / V2 Vt = 0.7 V +12 V 4.7 kΩ 10 µF 10 kΩ 10 µF + 18 kΩ + - vsig 47 kΩ vout - 1 kΩ 10 µF 3.3 kΩ Figure 5. Amplifier schematic for task 10. OP07C VERY LOW OFFSET SINGLE BIPOLAR OPERATIONAL AMPLIFIER ■ EXTREMELY LOW OFFSET : 150µV/ max. ■ LOW INPUT BIAS CURRENT : 1.8nA ■ LOW Vio DRIFT : 0.5µV/°C ■ ULTRA STABLE WITH TIME : 2µV/month max. ■ WIDE SUPPLY VOLTAGE RANGE : ±3V to ±22V N DIP8 (Plastic Package) DESCRIPTION The OP07 is a very high precision op amp with an offset voltage maximum of 150µV. PIN CONNECTIONS (top view) Offering also low input current (1.8nA) and high gain (400V/mV), the OP07C is particularly suitable for instrumentation applications. ORDER CODE Package Part Number Temperature Range N OP07C -40°C, +105°C Offset Null 1 1 8 Offset Null 2 Inverting Input 2 7 VCC Non-inverting Input 3 6 Output 4 5 N.C. V CC • N = Dual in Line Package (DIP) November 2001 1/4 OP07C SCHEMATIC DIAGRAM VCC R2A R2B Offset Null R1A N2 R7 C1 R1B N4 T15 T9 T10 T18 D8 T5 Non-inverting input Inverting input D9 T3 T6 T4 R3 D6 D1 D4 D3 T8 R9 Output D7 T1 R4 D2 T7 C3 C2 D11 R10 D5 T2 T12 T17 R5 T16 T13 T11 D10 T14 R6 R8 VCC INPUT OFFSET VOLTAGE NULLING CIRCUIT Offset Null 1 Offset Null 2 20kΩ VCC ABSOLUTE MAXIMUM RATINGS Symbol 2/4 Parameter Value Unit ±22 V VCC Supply Voltage Vid Differential Input Voltage ±30 V Vi Input Voltage ±22 V Toper Operating Temperature -40 to +105 °C Tstg Storage Temperature -65 to +150 °C OP07C ELECTRICAL CHARACTERISTICS VCC = ±15V, Tamb = 25°C (unless otherwise specified) Symbol Vio DVio Iio Parameter Min. Typ. Max. Unit Input Offset Voltage 0°C ≤ Tamb ≤ +105°C 60 150 250 µV Long Term Input Offset - Voltage Stability - note 1) 0.4 2 µV/Mo Input Offset Voltage Drift 0.5 1.8 µV/°C Input Offset Current (Vic = 0V) 0°C ≤ Tamb ≤ +105°C 0.8 6 7 nA DIio Input Offset Current Drift 15 50 pA/°C DIib Input Bias Current Drift 15 50 pA/°C Ro Open Loop Output Resistance 60 Ω Rid Differential Input Resistance 33 MΩ Ric Common Mode Input Resistance 120 GΩ Vicm Input Common Mode Voltage Range 0°C ≤ Tamb ≤ +105°C ±13 ±13 ±13.5 CMR Common-mode Rejection Ratio (Vic = Vicm min.) 0°C ≤ Tamb ≤ +105°C 100 97 120 SVR Supply Voltage Rejection Ratio (VCC = ±3 to ±18V) 0°C ≤ Tamb ≤ +105°C 90 86 104 Avd Large Signal Voltage Gain VCC = ±15, RL = 2kΩ, VO = ±10V 0°C ≤ Tamb ≤ +105°C VCC = ±3, RL = 500Ω, VO = ±0.5V 120 100 100 400 ±12 ±11.5 ±13 ±12.8 ±12 V dB dB V/mV 400 Output Voltage Swing Vopp 0°C ≤ Tamb ≤ +105°C SR GBP ICC en in 1. RL = 10kΩ RL = 2kΩ RL = 1kΩ RL = 2kΩ V ±11 Slew Rate ( RL = 2kΩ, CL = 100pF) 0.17 V/µs Gain Bandwidth Product (RL = 2kΩ, CL = 100pF, f = 100kHz) 0.5 MHz Supply Current - no load 0°C ≤ Tamb ≤ +105°C VCC = ±3V 2.7 Equivalent Input Noise Voltage f = 10kHz f = 100Hz f = 1kHz Equivalent Input Noise Current f = 10kHz f = 100Hz f = 1kHz 0.67 5 6 1.3 11 10.5 10 20 13.5 11.5 nV -----------Hz 0.3 0.2 0.1 0.9 0.3 0.2 pA -----------Hz mA Long term input offset voltage stability refers to the average trend line of Vio vs time over extended periods after the first 30 days of operation. 3/4 OP07C PACKAGE MECHANICAL DATA 8 PINS - PLASTIC DIP Millimeters Inches Dimensions Min. A a1 B b b1 D E e e3 e4 F i L Z Typ. Max. Min. 3.32 0.51 1.15 0.356 0.204 1.65 0.55 0.304 10.92 9.75 7.95 0.020 0.045 0.014 0.008 Max. 0.065 0.022 0.012 0.430 0.384 0.313 2.54 7.62 7.62 3.18 Typ. 0.131 0.100 0.300 0.300 6.6 5.08 3.81 1.52 0.125 0260 0.200 0.150 0.060 Information furnished is believed to be accurate and reliable. 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