ECE 2A Spring 2008 Prof. K. Banerjee 1 Department of Electrical & Computer Engineering University of California, Santa Barbara Homework #4 Due Date: May 9, 2008 (by 5pm) 1. The inputs to the circuit below a current source iS and a voltage source vS. When the Op Amp in its linear range, the output voltage has the form vO = K1vS + K2 iS . Find K1 and K2. 2. The op amp in the circuit below is ideal. What is the gain vO/vS in the circuit when the switch in position 1? Repeat for positions 2 and 3. Compare the results.ECE 2A Spring 2008 Prof. K. Banerjee 2 3. Find vO in terms of the inputs vS1 and vS2. Assume the Op Amp is ideal. 4. Use node-voltage analysis in the circuit below to show that the circuit is a voltage controlled current source. (Hint: show that iO= -vS/2R regardless of the load) Assume the op amp is ideal. 5. What is the range of the gain vO/vS in the circuit below. Assume the Op Amp is ideal.ECE 2A Spring 2008 Prof. K. Banerjee 3 6. The circuit inside the red box in the figure below is a constant current source for a limited range of values of RL. a) Find the value of iL for RL = 4kΩ. b) Find the maximum value for RL for which iL will have the value in (a). c) Assume that RL = 16kΩ. Explain the operation of the circuit. You can assume that 0≈=pnii under all operating conditions. d) Sketch iL versus RL for Ω≤≤ kRL160. 7. Design an inverting summing amplifier so that: )8642(0 dcbavvvvv+++−= If the feedback resistor (Rf) is chosen to be 56kΩ, draw a circuit diagram of the amplifier and specify the values of Ra, Rb, Rc, and Rd. 8. The op amps in the circuit shown are ideal. Find the output v2 in terms of v1.ECE 2A Spring 2008 Prof. K. Banerjee 4 9. In the difference amplifier shown below, what range of values of Rx yields a 1000≥CMRR ? 10. Find the output v2 in terms of the input v1 in the circuit below. Assume the Op Amps are
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