145 The circuit in Figure 143 (b) has a low pass transfer function given in Eq (146) and repeated below In Section 142, we developed equal element and unity gain design methods for this circuit This problem explores an equal time constant design method Using R1C1 R2C2 and 2, develop a method of selecting values for C1, C2, R1, and R2 Then select values so that the filter has a cutoff frequency of 2 krad s and a of 0 05 Use MATLAB to plot the filters Bode diagram Determine the location in rad s and magnitude in dB of the peak in the frequency response V2(s) T(s) V(s) R R2 C C28 (RC R C2 R2C2 R C)s 1

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Question: 145 The circuit in Figure 143 (b) has a low-pass transfer function given in Eq. (146) and repeated below In Section 142, we developed equal-element

14–5 The circuit in Figure 14–3

(b) has a low-pass transfer function given in Eq. (14–6) and repeated below

V2(s) T(s) = V(s) R R2 C C28 +(RC +R C2 +

In Section 14–2, we developed equal-element and unity-gain design methods for this circuit. This problem explores an equal-time constant design method. Using R1C1 =R2C2 and μ = 2, develop a method of selecting values for C1, C2, R1, and R2. Then select values so that the filter has a cutoff frequency of 2 krad/s and a ζ of 0.05. Use MATLAB to plot the filter’s Bode diagram. Determine the location in rad/s and magnitude in dB of the peak in the frequency response.

V2(s) T(s) = V(s) R R2 C C28 +(RC +R C2 + R2C2-R C)s +1

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