An open-loop amplifier can be described by

A dominant pole is to be inserted such that a closed-loop amplifier with a low-frequency gain of 50 has a phase margin of 45 degrees.
(a) Determine β and the required dominant pole frequency.
(b) The feedback transfer function is increased such that the closed-loop, low-frequency gain of the amplifier in part (a) is 20. Determine the phase margin of this new amplifier.