shows a simple low-pass filter followed by a buffer amplifier

1. FIGURE 3(a) shows a simple low-pass filter followed by a buffer amplifier.

(a) Write down the transfer function for the filter.

(b) Determine the 3db frequency (fc) if R = 10 kand C = 10 nF.

(c) If four such stages are cascaded as shown in FIGURE 3(b), determine the gain and phase of the overall transfer function at

(i) 0.1fc

(ii) 10fc