Suppose we wish to add a load resistor in parallel with the resistor in the circuit shown in Fig. P14.8.
a) What is the transfer function of the loaded filter?
b) Compare the transfer function of the unloaded filter (part (d) of Problem 14.8) and the transfer function of the loaded filter (part (a) of Problem 14.9). Are the cutoff frequencies different? Are the passband gains different?
c) What is the smallest value of load resistance that can be used with the filter from Problem 14.8(e) such that the cutoff frequency of the resulting filter is no more than $5 \%$ different from the unloaded filter?