Assume the op-amp is powered from + 15 V supply, Va= 3V, Vb= 2V, Vc=4.5 V then the output of this circuit is: Va Vbo Vc Ca. 16 b. 157 c. 16.5 d. 16.9 20K22 www 40KSZ GOKS www 60kQ www W - Vou!

- V2 15Vdo 3 U1A R1 2 1k V- LM324 1k V3 15Vde | VOFF = 0 VAMPL = 1 FREQ = 2k AC = 0 0. R2 Figure 4. Operational amplifier circuit. What frequency does the output voltage (across R3) have? What is the amplitude of the output voltage? From the output waveform and the input waveform, determine the gain of the op-amp circuit. Does this match with what you predicted? How could you change this circuit so that the output voltage would be nearly the same as the input voltage? What purpose would that serve? Can you modify the existing circuit and verify this experimentally? What is the phase difference between the output and input voltage? Derive the transfer function for the output-input relationship for the operational amplifier. How would the gain and the output change if a capacitor were in the feedback path instead of a resistor? (Examine the circuit using phasors and impedance and circuit analysis techniques). -w-

Derive the output voltage (Vol, Voz and Vas) of cach Op-Amp in Figure QI. Va Ra Rb U1 ww Vo1 U2 Vb VO2 Ry Rx Rd U3 VO3 4 RI Figure QI

Q1. Assume that Op-Amp as shown above is ideal. Given that R1 is 0.29 Ohm, R2 is 1.7 Ohm, R3 is 2.03 Ohm, R4 is 2.125 Ohm. Calculate Vo, V2 & I3.