A certain operational amplifier has an open-loop gain of 50 V/mV at low frequencies (note carefully the units of the gain value), with negligible phase shift and gain variation from d.c. to a maximum of 15 MHz. Above 15 MHz, the gain is reduced and the phase shift becomes very large and significant. (i) What is the amplifier gain at low frequencies expressed in dB? (ii) What is the –3dB frequency (or “break frequency”) of the compensation that should be added to make this operational amplifier unconditionally stable when connected to any passive negative feedback network having a phase shift magnitude of up to 90° maximum? (iii) What is the maximum gain-bandwidth product of an amplifier circuit constructed using this operational amplifier with the frequency compensation that you specified in part (i) of this question?

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A certain operational amplifier has an open-loop gain of 50 V/mV at low frequencies (note carefully the units of the gain value), with negligible phase shift and gain variation from d.c. to a maximum of 15 MHz. Above 15 MHz, the gain is reduced and the phase shift becomes very large and significant.

(i) What is the amplifier gain at low frequencies expressed in dB?

(ii) What is the –3dB frequency (or “break frequency”) of the compensation that should be added to make this operational amplifier unconditionally stable when connected to any passive negative feedback network having a phase shift magnitude of up to 90° maximum?

(iii) What is the maximum gain-bandwidth product of an amplifier circuit constructed using this operational amplifier with the frequency compensation that you specified in part (i) of this question?

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