BET 201 Experiment 8 Instrumentation Amplifiers Objective: To observe and understand the differential gain, common mode gain, and commonmode rejection ratio (CMRR) of an instrumentation amplifier. Reference: Carr/Brown, Chapter 7.7, 8.7 Equipment: Dual D.C. Power Supply 0-15 V; Function Generator; DMM; Analog trainer; Oscilloscope; 3-LM741 Op-amps; resistors and capacitors as indicated. Preparation: 1. For the circuit of Figure 1, calculate the voltages at the outputs of each amplifier for R2 = 10kΩ, V1 = – 0.1V, and V 2 = + 0.1V. Record the calculated values in Table 2A. 2. For the circuit of Figure 1, calculate the voltages at the outputs of each amplifier for R2 = 10kΩ, V1 = + 0.1V, and V 2 = + 0.1V. Record the calculated values in Table 2B. 3. Calculate the peak-to-peak voltage at the output of each amplifier when the input signal at V1 is 100 mVp-p @ 1kHz, V2 = 0, and R 2 = ∞ (open). Record the calculated values in Table 3. Procedure: RESISTOR VALUES 1. Construct the circuit of Figure 1 with R2 = 10kΩ. Carefully remove each resistor (one at a time) and measure its exact value. Return each resistor to the circuit and record the values in Table 1. DC INPUT 2. For R2 = 10kΩ, V1 = – 0.1V, and V 2 = + 0.1V, measure the voltages at the output of each amplifier with respect to ground. Record the data in Table 2A. 3. For R2 = 10kΩ, V1 = + 0.1V, and V 2 = + 0.1V, measure the voltages at the output of each amplifier with respect to ground. Record the data in Table 2B. AC INPUT 4. Remove resistor R2 and put it in a safe place (you'll need this same resistor again later). Apply input signals of V1 = 100 mVp-p @ 1kHz and V2 = 0 (connected to ground). With R2 = ∞ (open), use an oscilloscope to measure the peak-to-peak voltage at the output of each amplifier. Record the data in Table 3. Sketch the voltage waveforms at the circuit inputs (V1 & V2 ) and the output of each amplifier VA, VB, & V3 ). 5. For resistor R2 , place a 10kΩ potentiometer in the circuit. Adjust the potentiometer to vary the gain of the amplifier, and notice how the waveform at V3 changes as the potentiometer is adjusted. Vary the potentiometer to obtain the largest symmetrical (undistorted) waveform. Remove the potentiometer from the circuit, and measure this value for R2 . COMMON MODE REJECTION RATIO 6. Replace the potentiometer with the 10kΩ resistor used in Step 1. Measure the peak-to-peak voltage at the output with input signals V1 = 100 mVp-p @ 1kHz and V2 = 0. With an oscilloscope, measure the voltages at the circuit inputs and output. Calculate the measured differential gain (V3 /V1 ). Record the data in Table 4. 7. Remove V2 from ground and connect it to the same 100 mVp-p @ 1kHz sine wave already connected to V1 . With an oscilloscope, measure the peak-to-peak voltage at the circuit output. Calculate the measured common-mode gain (V3 /V1 ). Record the data in Table 4. Additional Calculations: 1. Show the calculations to verify step 5 of the procedure. Assume that the maximum output voltage will be 15V (rail voltage). 2. Use the exact values of the resistors measured in Step 1, and the nominal input voltages used in Steps 6 & 7 of the procedure. Calculate the common-mode gain (Acm), the differential gain (Adiff), and the common-mode rejection ratio (CMRR) for the circuit. Report Requirements: 1. This experiment and results should be presented in accordance with the report guidelines. 2. In the summary and conclusion section, briefly discuss how the instrumentation amplifier operates. 3. In the summary and conclusion section, explain why the output of the amplifier shows a nonsymmetrical AC waveform when the gain is increased past a certain point. Experiment 8 Instrumentation Amplifiers Data Tables Table 1. Resistor Values R1A R1B (Ω) (Ω) Nominal 47 kΩ 47 kΩ R2 (Ω) R3 (Ω) R4 (Ω) R5 (Ω) R6 (Ω) 10 kΩ 10 kΩ 10 kΩ 47 kΩ 47 kΩ Measured Table 2A. DC Input V1 (V) VA (V) VB (V) V3 (V) VA (V) VB (V) V3 (V) VA (Vp-p) VB (Vp-p) V3 (Vp-p) Table 4. Common Mode Rejection Ratio (CMRR) V1 V2 V3(meas) A(meas) (Vp-p) (Vp-p) (Vp-p) V3(calc) (Vp-p) Calculated – 0.1 V2 (V) + 0.1 Measured Table 2B. DC Input V1 (V) Calculated + 0.1 V2 (V) + 0.1 Measured Table 3. AC Input V1 (Vp-p) Calculated 100 mVp-p 1 kHz V2 (Vp-p) 0 Measured Differential 100 mVp-p 1 kHz 0 Common 100 mVp-p 1 kHz 100 mVp-p 1 kHz A(calc) C1 560 pF +15V V1 3 7 2 LM741 4 R3 10 kΩ 6 VA R5 47 kΩ R1A 47 kΩ +15V -15V 2 R2 +15V 2 V2 3 LM741 4 3 LM741 4 -15V R1B 47 kΩ 7 7 6 VB R4 10 kΩ -15V R6 47 kΩ Figure 1. Offset Null Inverting Input Non-Inverting Input –V 1 8 2 7 NC +V LM741 3 6 4 5 Output Offset Null 6 V3