GATE EE 1991
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GATE EE

1
Figure shows as electronic voltage regulator the zener diode may be assumed to require a minimum current of $$25$$ $$mA$$ for satisfactory operations. The value of $$R$$ required for satisfactory voltage regulation of the circuit is GATE EE 1991 Analog Electronics - Diode Circuits and Applications Question 8 English
2
Figure shown below shows a common emitter amplifier. The quiescent collector voltage of the circuit is approximately. GATE EE 1991 Analog Electronics - Bjt and Mosfet Biasing Question 9 English
3
With the ideal operational amplifiers, the circuit in figure simulates the equation GATE EE 1991 Analog Electronics - Operational Amplifier Question 45 English
4
In the figure shown, assume that the zener diode and operational amplifier to be ideal.

$$(a)$$ Draw the equivalent circuit and evaluate the gain $$\left( {{V_0}\,\,vs\,\,{V_i}} \right)$$ of the circuit for

GATE EE 1991 Analog Electronics - Operational Amplifier Question 11 English

$$(i)$$ $${V_i} \le 0$$ $$\,\,\,\,\,\left( {ii} \right)\,\,\,0 < {V_i} < 5V\,\,\,\,\,\,$$ $$\,\,\,\,\,\left( {iii} \right)\,\,\,{V_i} > 5V\,\,\,\,\,\,$$

$$(b)$$ Sketch the gain $$\left( {{V_0}\,\,\,{V_s}\,\,\,{V_i}} \right)$$ characteristics of the above circuit and label the salient features.

5
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.

6
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 12 English
7
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 25 English
8
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?
9
A unity feedback system has the forward loop transfer function $$G\left( s \right) = {{K{{\left( {s + 2} \right)}^2}} \over {{s^2}\left( {s - 1} \right)}}$$

(a) Determine the range of $$K$$ for stable operation

(b) Determine the imaginary axis crossover points

(c) Without calculating the real axis break - away points, sketch the form of root loci for the system.

10
The system having the Bode magnitude plot shown in Fig. below has the transfer function GATE EE 1991 Control Systems - Polar Nyquist and Bode Plot Question 16 English
11
Which of the following is the transfer function of a system having the Nyquist plot shown in Fig. below. GATE EE 1991 Control Systems - Polar Nyquist and Bode Plot Question 15 English
12
An under damped second order system having a transfer function of the form $$M\left( s \right) = {{k\omega _n^2} \over {{s^2} + 2\zeta {\omega _n}s + \omega _n^2}}\,\,$$ has frequency response plot shown in Fig. below, then the system gain $$K$$ is __________ and the damping factor is approximately _______ GATE EE 1991 Control Systems - Polar Nyquist and Bode Plot Question 13 English
13
The current $$i(t)$$ passing through $$10\Omega $$ resistor as shown in fig $$A$$. as a waveform as shown in fig $$B.$$ Then the reading of the d.c voltmeter is connected across $$10\Omega $$ resistor is GATE EE 1991 Electrical and Electronics Measurement - Basic of Indicating Instruments Question 40 English 1 GATE EE 1991 Electrical and Electronics Measurement - Basic of Indicating Instruments Question 40 English 2
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