Figure P15.65 R1 R1 R2 { +, (1-B)R4 BR4 R3 R4 R3 Figure P15.65 Full Alternative Text
PRACTICALPERSPECTIVE_ An engineering project manager
has received a proposal from a subordinate who claims the circuit shown
could be used as a treble volume control circuit if
R4≫R1+R3+2R2. The subordinate further claims that the voltage
transfer function for the circuit is
H(s)=VoVs =−{(2R3+R4)+[(1−β)R4+Ro](βR4+R3)C2s}{(2R3+R4)+[(1−β)R4+R3]
(βR4+Ro)C2s} where Ro=R1+R3+2R2. Fortunately the project engineer has an electrical engineering undergraduate student as an intern and therefore
asks the student to check the subordinate’s claim.
The student is asked to check the behavior of the transfer function as
ω→0; as ω→∞; and the behavior when ω=∞ and β varies between 0 and
1. Based on your testing of the transfer function do you think the circuit
could be used as a treble volume control? Explain.
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