CIRCUIT & NETWORK THEORY III ASSIGNMENT I
1. For the circuit shown in Figure 1 below, find the transfer function and deduce the type of filter represented.
![2254_Network 1 and 2.jpg](https://secure.tutorsglobe.com/CMSImages/2254_Network%201%20and%202.jpg)
![265_Figure 2 Network 3.jpg](https://secure.tutorsglobe.com/CMSImages/265_Figure%202%20Network%203.jpg)
![301_Network4.jpg](https://secure.tutorsglobe.com/CMSImages/301_Network4.jpg)
i). Find Q, ω0 and the DC gain H.
ii). Find the sensitivity of Q, ω0 and H with R1, R3, C2, C4, RA and RB.
iii). Find the sensitivity of magnitude of the transfer function |T(jω)| with R1, R3, C2, C4, RA and RB.
iv). Given that R1 = 10k?, R3 = 10k?, C2 = 16nF, C4 = 16nF, RA = 10k? and RB = 10k?, simplify the transfer function and determine the actual values of Q, f0, ω0 and K.
v). For values of Rb from 1k? to 21k? in steps of 2k? plot in MATLAB the gain A in dB against f in kHz on a semilog scale. Axes specification:
-40dB ≤ A(dB) ≤ 50dB and 100 ≤ f ≤ 10k?.
2. For the three circuits shown in Figure 2 below, derive the transfer function and simplify them to the form
T(s) =( K/ (s2 +s/Q+1))
i). For each of the circuit, determine SQR1, SQR2, SQC1, SQC2, SQK, SQRA, SQRB, SKRAand SQRB .
ii). If the three circuits were prototypes, which of the three would you chose for implementation and why?