Integrator
1. Build the integrator circuit shown in Figure 2d with $R_1 = 100 k\Omega$ and $C = 0.82 \mu F$.
When connecting the capacitor to the circuit, make sure that the capacitor is discharged
by touching the leads of the capacitor together or using a wire to short out the capacitor.
2. For $V_i$ use the function generator set to a sine wave with 2V peak-to-peak and a
frequency of 100 Hz.
3. Measure the gain using the peak voltages of input and output at frequencies of 100 Hz,
200 Hz, 300 Hz, 600 Hz, 1000 Hz and 2000 Hz. For the report, make a graph with the
ideal and measured gain vs. frequency on the same graph. The graph should be a log-
log graph (logarithmic axis on both frequency and gain, otherwise it'll be very hard to
see anything since the frequency changes a lot!).
4. Change the output to a square wave with 2V peak-to-peak. Reconnect the function
generator. Change the frequency of the function generator so that you have an easily
measurable output signal. It should look like a triangle wave.
5. From what you know about calculus, why does the input of a square wave result in a
triangle wave output?
6. Measure the (positive) slope of the triangle wave. Does this match what the theoretical
value from the integrator circuit equation?
