The amplifiers listed below are characterized by the descriptor (A, C), where A is the voltage gain from input to output and C is an internal capacitor connected between input and output. For each, find the equivalent capacitances at the input and at the output as provided by the use of Miller's theorem:
(a) -1000 V/V, 1 pF
(b) -10 V/V, 10 pF
(c) -1 V/V, 10 pF
(d) +1 V/V, 10 pF
(e) +10 V/V, 10 pF
Note that the input capacitance found in case (e) can be used to cancel the effect of other capacitance connected from input to ground. In (e), what capacitance can be canceled?