1
GATE EE 1991
Subjective
+5
-0
Figure shows a common emitter amplifier GATE EE 1991 Analog Electronics - Small Signal Modeling Question 3 English 1 GATE EE 1991 Analog Electronics - Small Signal Modeling Question 3 English 2

$$(a)$$ Simplify the circuit by applying thevenin's theorem to biasing network $${R_1},{R_2}$$ at
$$\,\,\,\,\,\,\,$$ the base of the transistor.
$$(b)$$ Assuming $${C_s}$$ to be a short for frequency range considered. Draw the small signal
$$\,\,\,\,\,\,\,$$ $$a.c.$$ model of the circuit obtained in $$(a)$$ by using the simple model for the
$$\,\,\,\,\,\,\,$$ transistor shown in figure.
$$(c)$$ Evaluate the small signal gain $$\left( {{{{V_0}} \over {{V_i}}}} \right)$$ of the amplifier.

2
GATE EE 1991
Fill in the Blanks
+2
-0
The signal flow graph of Fig. shown below, has ___________ forward paths / and ________feed - back loops. GATE EE 1991 Control Systems - Block Diagram and Signal Flow Graph Question 10 English
3
GATE EE 1991
Fill in the Blanks
+2
-0
A first order system and its response to a unit step input are shown in Fig. below. The system parameters are
$$a=$$ ____________
$$K=$$ ___________ GATE EE 1991 Control Systems - Time Response Analysis Question 23 English
4
GATE EE 1991
MCQ (Single Correct Answer)
+1
-0.3
A unity feedback system has an open-loop transfer function of the form $$KG\left( s \right) = {{K\left( {s + a} \right)} \over {{s^2}\left( {s + b} \right)}};\,\,\,\,b > a$$ Which of the loci shown in Fig. can be valid root-loci for the system?
A
GATE EE 1991 Control Systems - Root Locus Techniques Question 10 English Option 1
B
GATE EE 1991 Control Systems - Root Locus Techniques Question 10 English Option 2
C
GATE EE 1991 Control Systems - Root Locus Techniques Question 10 English Option 3
D
GATE EE 1991 Control Systems - Root Locus Techniques Question 10 English Option 4
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