Questions

Answer all the following questions in your lab report.

1. Plot the rotor position vs. the DC input voltage. Give a mathematical expression for this relationship. Is the relationship linear?

2. Plot the rotor position as a function of the duty-cycle output of the comparator (lead 5). Give a mathematical expression for this relationship. Is this relationship linear?

3. From the above two expressions derive a relationship between the DC input voltage and the duty-cycle of the signal output from the comparator. Is this relationship linear? Explain why the input signal to the comparator in Figure would not give a linear relationship between DC input and the output signal's duty-cycle. Explain why a square wave input to the comparator would not give an output signal with variable duty-cycle.

4. Analyze the integrator circuit shown in Figure by relating to assuming an ideal op-amp. Express A in Equation in terms of C and .

     
   Figure: Integrator Approximation