1. A Miller integrator incorporates an ideal op amp, a resistor R of 100 KW and a capacitor C of 0.1 mF. Simulate the circuit using the AC analysis of Multisim and respond to following questions. (Use the OPAMP from the analog library; this is an ideal Op-amp).
a) At what frequency is the input and output signals equal in amplitude?
b) At this frequency how does the phase of the output sine-wave relate to that of the input?
c) If the frequency is increased by a factor of 10 from that found in (a), by what factor does the output voltage change, and in what direction (smaller or larger)?
d) What is the phase relation between the input and output in situation (c)?
Confirm each of these situations by applying a 1 V peak sine-wave at the appropriate frequency and compare the voltage waveform appearing at the output using the transient analysis.
e) Verify the results from your simulation with hand calculations. Discuss any discrepancies.

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