MET 487-Lecture 7 Tuesday, July 13, 2010 7:18 PM Lab Activities: 1. Low Pass filter modification: change from R= 10kOhms, C = 0.1 uF, cutoff frequency (3dB frqeuency) f = 1/(2*pi*R*C) = 159 Hz 2. New RC values: R = 1kOhms, C = 0.01 uF so that fc - cutoff (3dB) frequency can be increased to f = 1/(2*pi*R*C) = 15.9kHz 3. Revision of Lab 5 a. Set up the low pass filter with this new R and C parts b. Connect function generator (Vi) to the input of the RC circuit c. Connect digital scope CH1 to Vi, and CH2 to Vout as shown below. d. Adjust amplitude adj volume of the function generator to output 10v Peakto-peak if possible e. Increase frequency of Vi (function generator) to see Vout drop to 10v*0.707 ≈ 7 v, record all the digital displayed info: fc, vpp, period, and others f. Prepare to gather data for Table 1 1) 0.01 * fc = 159 Hz: Vin = 10, Vout (measured), A = Vout/Vin (Computed) --- repeat this for step 2) through step 4) 2) 0.1 * fc = 1.59 kHz 3) 1 * fc = 15.9 kHz (copy the value from step 3e 4) 10 * fc = 159 kHz g. Prepare the Bode-plot as shown in the lab Chapter 5. Analog Signal Processing Using Operational Amplifiers 5.1 Introduction • Figure 5.6 - 741 Internal Design and packaging Inverting input - Pin 2 Non-inverting input - Pin 3 Output - Pin 5 V+ -- Pin 7 V- -- pin 4 • LM 741 IC part - demo 5.2 Amplifiers • Figure 5.1 Amplifier Model: Av = Vo/Vin, Zin = Vi/Ii, Zo = Vo/Io 5.3 Operational Amplifiers (building blocks) • Amplifiers: example Vo = 5* Vi; using op-amp to produce a gain of 5 • Integrators: • Summers: Adder or subtracter • Differentiators • Comparators: monitoring some predefined values • A/D and D/A converters • Active Filters • Sample and Hold Circuits 5.4 Ideal Model for the Op-Amp • Figure 5.2 Op-Amp terminology and schematic representation • Figure 5.3 Op-Amp feedback • Figure 5.4 Op-Amp equivalent circuit • Assumption: 1. It has infinite impedance 2. It has infinite gain MET-487-Lectures Page 1 2. It has infinite gain 3. It has zero output impedance 5.5 Inverting Amplifier Figure 5.7 Inverting amplifier Figure 5.8 Equivalent circuit for an inverting amplifier Use KCL at Node C: Sum of incoming current = Sum of out going currents Ii = -Io Ii = Vi/R, Io = Vo/RF substitute into the equation above Vi/R = -Vo/RF Av = Vout/Vin = - RF/Ri Consider the implementation of the equation: Vout = 5*Vi MET-487-Lectures Page 2 MET-487-Lectures Page 3