Repeat Problem 9.9 if the circuit is compensated by using shunt capacitance to ground at the input of the second stage. Assume that this affects only the most dominant pole.

Data from Prob. 9.9:

An op amp with low-frequency gain of 108 dB has three negative real poles with magnitudes 30 kHz, 500 kHz, and 10 MHz before compensation. The circuit is compensated by placing a capacitance across the second stage, causing the second most dominant pole to become negligible because of pole splitting. Assume the small-signal transconductance of the second stage is 6.39 mA/V and the small-signal resistances to ground from the input and output are 1.95 MΩ and 86.3 kΩ, respectively. Calculate the value of capacitance required to achieve a 60° phase margin in a unity-gain feedback connection and calculate the frequency where the resulting open-loop gain is 0 dB. Assume that the pole with magnitude 10 MHz is unaffected by the compensation.