The open-loop amplifier of a feedback system has its first two poles at fP1 = 1 MHz and fP2 = 10 MHz, and has a low-frequency open-loop gain of |Ao| = 100 dB.
(a) A dominant pole is to be added such that the closed-loop amplifier with a low-frequency gain of 20 has a phase margin of 45 degrees. What is the dominant pole frequency?
(b) If the feedback transfer function from part (a) is increased such that the closed-loop low-frequency gain is 5, determine the phase margin of the amplifier.