Name ______________ Partner______________ Date ______________ Laboratory 3 Diode & Rectifier Preparation / Reading: Text: 6.8 (or reference [1]: 5.9) Lecture notes Questions marked (*) in this lab script. OBJECTIVE LC Resonant circuit; Half-wave rectifier; Full-wave Bridge Rectifier; Ripple; Rectified differentiator; Diode Clamp; Diode Limiter . EQUIPMENT REQUIRED Oscilloscope (Tektronix TDS210, dual channel, 60 MHz) Function generator (BK Precision 4011A, sine, triangle, square, logic level; to 5 MHz) Breadboard (PB-503, powered, with a built-in function generator) Digital multimeter (DMM, FLUKE 187) Variac (transformer) 12.6 V transformer 560 pF capacitor (1) 0.01 uF capacitor (1) 15 uF capacitor (1) 10 mH inductor (1) 1N914 Si diode (5) 1 k resistor (1) 2.2 k resistor (2) 100 k resistor (1) 270 Ω resistor (1) 1N4734A Zener Diode -5.5V (1) 2N5785 or 2N3053 Transistor L3: -1 Lab 3-1: LC Resonant Circuit --- To study LC circuit and to use it to detect Fourier components of a square wave * 1. Consider the parallel resonant circuit shown below. Calculate the resonant frequency f0 at which Vout/Vin reaches the maximum, give your derivations. Fig. 3.1 f0 (calculated) = _______ 2. Determine the resonant frequency experimentally. Drive above circuit with a sine wave, varying the frequency through a range around the resonant frequency. Measure the resonant frequency, and compare with the one you calculated above. (The circuit attenuates the signal considerably, even at its resonance frequency.) 3. Verify the amplitudes and frequencies of the first 3 terms of the Fourier series of a square wave. This resonant circuit (Fig. 3.1) can serve as a “Fourier Analyzer”: The resonant frequency of the circuit is fixed at approximately f0=16 kHz (ie. the circuit is a 16 kHz-detector). If the input signal has a component sine wave which matches this frequency, a resonance will be observed at the circuit output. (Here is a reminder of the Fourier series for a square wave: A square wave of frequency ‘f’ will have component sine waves at higher frequencies of 3f, 5f, 7f, etc. Drive the circuit with a square wave at the circuit resonant frequency f 0 and note the amplitude of the sine wave response at the circuit output. Now gradually lower the driving L3: -2 frequency ‘f’ until you observe another resonance (this occurs when the second Fourier component at frequency 3f matches the circuit resonant frequency f 0). Record the driving frequency and amplitude of the output sine wave when this occurs. Repeat this measurement for the third Fourier component. Measurements: Square wave frequency (kHz) | Output amplitude: Vp ( ) ------------------------------------------- |---------------------------------------| | | | | | | 4. Discuss your results above. Are the measured frequencies and amplitudes what you expect? * 5. Now drive the circuit with a sine wave at the resonant frequency f 0 of the circuit and measure the amplitude of the output. Can you estimate the value of pi () based on this amplitude, and those measured above? Lab 3-2: Half-wave Rectifier 1. Construct a half-wave rectifier circuit, as shown below (Fig.3.2). Set the function generator to a 1 kHz sine wave with 8 Vp-p with the scope. Fig. 3.2 L3: -3 * 2. Sketch the input and output of the circuit below (ensure that the scope is set to DC coupling). What is the peak output voltage value measured? Is it what you expect? (Remember to number the horizontal and vertical gridlines, or indicate their respective scales .) Lab 3-3: Full-wave Bridge Rectifier 1. Construct a full-wave bridge circuit as shown in Fig. 3.3 (a). Before connecting the transformer to your circuit, adjust the Variac until the transformer output is 6.3Vrms (use the DMM, set to AC, to measure this voltage). Then turn off the power before connecting other components. Be sure that the diodes are inserted correctly and that grounding is as shown (Otherwise you may burn out diodes, and in this circuit diodes usually fail in pairs! ). Fig. 3.3 (b) gives you practical hints on the connections. (a) (b) Fig. 3.3 L3: -4 2. Use the scope (DC coupling) to observe the output waveform. Record the waveform, and label the max and min values. Warning: Don’t attempt to look at the input 6.3Vac with the scope’s other channel at the same time; this would require connecting the second “ground” lead of the scope to one side of the secondary, that may cause a disaster. 3. What is the peak amplitude? Is it what you expect? * 4. Look at the region of the output waveform that is near zero volts. Why are there flat regions? Measure their duration, and explain. L3: -5 * 5. Ripple --- Connect a 15 uF filter capacitor across the output (be careful about the polarity). Does the output make sense? Measure the amplitude of the peak-to-peak “ripple”. Is it what you expect? Lab 3-4 Rectified differentiator 1. Construct a circuit shown in Fig. 3.4. Drive it with a square wave at 10 kHz or so, at the function generator’s maximum output amplitude. Look at input and output, using both scope channels. Sketch the output waveform you observe, does it make sense? Fig. 3.4 2. What does the 2.2 k load resistor do? Try to remove it (to make the load infinite). Can you see the difference in output waveform? Explain. (Hint: compare the RC discharge curves.) L3: -6 Lab 3-5 Diode Clamp 1. Construct the simple diode clamp circuit shown in Fig. 3.5. Drive it with a large amplitude sine wave from your function generator, and observe the output of the circuit. Sketch the waveform, and label the maximum and minimum. Discuss the results. Fig. 3.5 * 2. Try using a voltage divider as the clamping voltage, as shown in Fig.3.6 (ignore the capacitor drawn in dotted lines for now). Drive the circuit with a large sine wave, and examine the peak of the output waveform. Why is it rounded so much? (Hint: what happens to the reference voltage when a current flows through the diode? You may draw a Thevenin model for the voltage divider if that helps.) Fig. 3.6 L3: -7 * 3. As a remedy, try adding a 15 uF capacitor, as shown with dotted lines (note polarity) in Fig.3.6. Record your observations and explain why it works. This case illustrates well the concept of a bypass capacitor (or decoupling capacitor). Lab 3-6 Diode Limiter Build the simple diode limiter shown in Fig.3.7. Drive it with sine, triangle, and square waves of various amplitudes. Describe what it does based on your observation, and explain why. Can you think of a use for it? Fig.3.7 L3: -8