Semester Questions for Analog Electronics_2.

11. For the following discrete-time systems, determine the following:

\((i)\; \color\red{y(n)=sin⁡[x(n)]}\\ (ii) \;\color\red{y(n)=\sum_{m=-\infty}^{n+1} x(n)}\\ (iii) \;\color\red{y(n)= x(n) \sin(n\omega_0)}\\ (iv) \;\color\red{y(n)=x(n)u(n)}\)

Find the followings:

i. Static/Dynamic

ii. Linear/Non-Linear

iii. Shift Invariant/Shift Variant

iv. Causal/Non-Causal

v. Stable/Unstable

12. An LTI system has the impulse response h[n]={1,2,0,−4}. The underline locates n=0. For each input sequence below, find the output sequence y[n]=x[n]*h[n] expressed both as a numerical and as a graphical (stem plot), underlining the n=0). \(\color\red{i. \;𝑥_1(𝑛)=𝛿(𝑛),}\\ \color\red{ii. \;𝑥_2(𝑛)=𝛿(𝑛+1)+𝛿(𝑛−2),}\\ \color\red{iii.\;𝑥_3(𝑛)={1,1,2},}\\ \color\red{iv.\;𝑥_4(𝑛)={3,2,−1,−3,−5}}\)

13. What do you understand by a Current Mirror /Source ? Explain any one of its current mirrors with the help of necessary diagrams and expressions.

14. Further, design a Widlar Current Source that is able to provide a constant current of 5μA , for the following values of system parameters: VCC= +15 V, R = Rref = 55K, β = 110, VBE = 0.7 V.

15. For a Common Emitter (CE) amplifier, derive the expression for short-circuit current gain. Also, Explain the significance of the parameter ‘fT‘.

16. Draw and explain the internal structure of an Operational Amplifier in detail. Explain all its design parameters.

17. Describe CMRR (Common Mode Rejection Ratio) and withthe help of suitable examples, explain its significance. Also, derive the expression of output signal vo, in terms of CMRR for a Differential Amplifier.

18. Using necessary diagrams and expressions, describe the operation of an Instrumentation Amplifier, and Derive the expression for its output voltage.

19. With the help of suitable circuit diagram and necessary expressions, describe the any one basic/mathematical application of OPAMP and derive the expression for its output voltage/current.

20. With the help of suitable diagrams and examples, provide a broad classification of transistor amplifiers. Also, discuss the different types of distortions that may arise in these amplifiers along with their probable causes.