Two first-order lowpass filters are in cascade as shown in
Chapter 6, Problem P6.48(choose chapter or problem)
Two first-order lowpass filters are in cascade as shown in Figure P6.48. The transfer functions are H1 (f) = H2 (f) = 1 1 + j % f # fB & a. Write an expression for the overall transfer function. b. Find an expression for the half-power frequency for the overall transfer function in terms of fB. (Comment: This filter cannot be implemented by cascading two simple RC lowpass filters like the one shown in Figure 6.7 on page 287 because the transfer function of the first circuit is changed when the second is connected. Instead, a buffer amplifier, such as the voltage follower discussed in Section 14.3, must be inserted between the RC filters.) Vout Vin + + H1(f) H2(f) RL Figure P6.48
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