Assume that the op amp in the circuit in Fig. 2.1.1 is ideal. Find the currents through all branches and determine the voltages at all nodes. Do your anal- ysis and show your results directly on the circuit diagram. You will find that the op amp supplies a current larger than that drawn from the 1-V source connected to the input. Where does the additional current come from?

For the circuit, assuming an ideal op amp, and given Vs = - 1.5 V, R1 = 1 K ohm, R2 = 15k ohm, and R3 = 5k ohm, answer the following question. (Annotate diagram to show branches and nodes.) (a) Find the currents in all the branches (b) Find the voltages at all nodes  (c) Find the power dissipated in each resistor (a) Find the total power dissipated in all resistors (e) How much power is delivered by Vs? (f) Explain: where does the rest of the power come from?

Use the following values: v1=8V R1=3kiloOhms Vx=11V

In the circuit below, the operational amplifier is ideal with the output voltage limitations V*=12V and V-=-12V. D is an ideal diode. a) Derive the symbolic expression for Vo in terms of Vi. You should clearly show every step in your answer. b) For R₁ = 12 kn, RF = 3 kQ, R₁ = 5 KQ and with the V₁ = 8-sin(wt) input voltage signal, calculate Vo and draw Vo voltage waveform with respect to Vi specifying the important values on the axes on the plot(s). Every numerical value on the plot(s) should be explained in detail on your answer sheet. c) What is the function of this circuit? Considering its function, what is the most important drawback (if any) of this circuit? Explain your answer. Vi Ri RF D Vo RL