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In the circuit shown in the figure is assume that the operational amplifier is ideal and that 
initially. The switch is connected first to ‘A’ charging 
to the voltage V. It is then connected to the point ‘B’. This process is repeated f times per second.
(a) Calculate the charge transferred per second from node A to node B.
(b) Derive the average rate of change of the output voltage
.
(c) If the capacitor and the switch are removed and a resistor is connected between points A and B, find the value of the resistor to get the same average rate of change of the output voltage?
(d) If the repetition rate of the switching action is 
times per second, 
, 
and 
, what is the average rate of change of the output voltage?
(a) Charge transferred per second from node A to node B
(b) Average rate of charge 
(c) 
(d) Average rate of change of the output voltage 
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