The parameters in the integrator circuit shown in Figure 9.30 are (R_{1}=20 mathrm{k} Omega) and (C_{2}=0.02 mu

Question:

The parameters in the integrator circuit shown in Figure 9.30 are $R_{1}=20 \mathrm{k} \Omega$ and $C_{2}=0.02 \mu \mathrm{F}$. The input signal is $v_{I}=0.25 \cos \omega t(\mathrm{~V})$.

(a) Determine the frequency at which the input and output signals have equal amplitudes. At this frequency, what is the phase of the output signal with respect to the input?

(b) At what frequency will the output signal amplitude be (i) $\left|v_{O}\right|=1.5 \mathrm{~V}$ and (ii) $\left|v_{O}\right|=0.15 \mathrm{~V}$ ?

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