GATE 2023 - Important Concepts, Short cuts, Complete Solutions, Examples and Practice Problems: GATE 1998

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GATE 1998 ECE Analog Circuits (Analog Electronics) - Video Solutions

1. The f_τ of a BJT is related to its g_m, C_π and C_µ as follows

Solution: https://www.youtube.com/watch?v=f6J9u_ffd74

2. The circuit of the figure is an example of feedback of the following type

a. Current Series
b. Current Shunt
c. Voltage Series
d. Voltage Shunt

Solution: https://www.youtube.com/watch?v=33433ffJsOw

3. In a differential amplifier, CMRR can be improved by using an increased
a. Emitter resistance
b. Collector resistance
c. Power supply voltages
d. Source resistance

Solution: https://www.youtube.com/watch?v=ThLcF8zCZNg

4. From a measurement of the rise time of the output pulse of an amplifier, whose input is a small amplitude square wave, one can estimate the following parameter of the amplifier
a. Gain-bandwidth product
b. Slew rate
c. Upper 3 dB frequency
d. Lower 3 dB frequency

Solution: https://www.youtube.com/watch?v=1-COkXWLdJ0

5. A distorted sinusoid has the amplitudes A₁, A₂, A₃ … of the fundamental, second harmonic, third harmonic, …..respectively. The total harmonic distortion is

Solution: https://www.youtube.com/watch?v=jLPkLCkKXRc

6. The emitter coupled pair of BJT’s given a linear transfer relation between the differential output voltage and the differential input voltage V_id, only when the magnitude of V_id is less α times the thermal voltage, where α is
a. 4
b. 3
c. 2
d. 1

Solution: https://www.youtube.com/watch?v=zF8Td25z8Zs

7. In a Shunt – Shunt negative feedback amplifier, as compared to the basic amplifier
a. Both, input and output impedances decreases
b. Input impedance decreases and output impedance increases
c. Input impedance increases and output impedance decreases
d. Both, input and output impedances increases

Solution: https://www.youtube.com/watch?v=QfHLFEMyOh4

8. A multistage amplifier has a low pass response with three real poles at s = - ω₁, - ω₂ and -ω₃. The approximate overall bandwidth B of the amplifier will be given by

Solution: https://www.youtube.com/watch?v=6qJInA6Xyu0

9. A high – Q quartz crystal exhibits series resonance at the frequency ω_s and parallel resonance at the frequency ω_p. Then
a. ω_s is very close to, but less than ω_p
b. ω_s << ω_p
c. ω_s is very close to, but greater than ω_p
d. ω_s >> ω_p

Solution: https://www.youtube.com/watch?v=s6jLBt7qH18

10. One input terminal of high gain comparator circuit is connected to ground and a sinusoidal voltage is applied to the other input. The output of comparator will be
a. A sinusoid
b. A full rectified sinusoid
c. A half rectified sinusoid
d. A square wave

Solution: https://www.youtube.com/watch?v=zlM_LN2n0r4

11. In a series regulated power supply circuit, the voltage gain A_v of the pass transistor satisfies the condition
a. A_v -> ∞
b. 1 << A_v < ∞
c. A_v ≡ 1
d. A_v << 1

Solution: https://www.youtube.com/watch?v=b3wTRqK2kdc

12. For full wave rectification, a four diode bridge rectifier is claimed to have the following advantages over a two diode circuit:
1. Less expensive transformer
2. Smaller size transformer, and
3. Suitability for higher voltage application.
Of these,
a. Only 1 and 2 are true
b. Only 1 and 3 are true
c. Only 2 and 3 true
d. 1, 2 as well as 3 are true

Solution: https://www.youtube.com/watch?v=Vkk-TUzCbJA

13. In the MOSFET amplifier of the figure, the signal output V₁ and V₂ obey the relationship

Solution: https://www.youtube.com/watch?v=dHIC1z_RdEY

14. For small signal ac operation, a practical forward biased diode can be modeled as
a. Resistance and capacitance in series
b. Ideal diode and resistance in parallel
c. Resistance and ideal diode in series
d. Resistance

Solution: https://www.youtube.com/watch?v=DcIc-DoZIvY

15. For the circuit shown,

a. Draw the transfer characteristics if both diodes D₁ and D₂ are ideal.
b. How would the characteristics change, if D₂ is ideal but D₁ is non-ideal? Assume D₁ has forward resistance of 10 Ω and a reverse resistance of infinity.

Solution: https://www.youtube.com/watch?v=yUlminRY5-A

16. Determine the input impedance of the circuit shown and investigate if it can be inductive.

Solution: https://www.youtube.com/watch?v=XU0TAARC8ek

17. Find the value of R’ in the circuit shown for generating sinusoidal oscillations. Find the frequency of oscillations.

Solution: https://www.youtube.com/watch?v=XfcgpXRRb4c

18. In the circuit shown, determine the resistance R_o seen by the output terminals. Ignore the effect of R₁ and R₂.

Solution: https://www.youtube.com/watch?v=5MwOePWDgQM

19. Implement a monostable multivibrator using the timer circuit shown in figure. Also determine an expression for ON time ‘T’ of the output pulse.

Solution: https://www.youtube.com/watch?v=eaM2kglGuJ8

GATE 1998 ECE Video Solution on Digital Circuits (Digital Electronics)

1. The minimum number of 2 input NAND gates required to implement the Boolean function Z = AB’C, assuming that A, B and C are available, is
a. Two
b. Three
c. Five
d. Six

Solution : https://www.youtube.com/watch?v=BmAe0gRSr_U

2. The noise margin of a TTL gate is about
a. 0.2 volts
b. 0.4 volts
c. 0.6 volts
d. 0.8 volts

Solution : https://www.youtube.com/watch?v=83z5h70zpHo

3. In the figure shown is A = 1 and B = 1, the input B is now replaced with a sequence 101010....., the output X and Y will be

a. Fixed at 0 and 1 respectively
b. X = 1010... while Y = 0101....
c. X = 1010.... and Y = 1010....
d. Fixed at 1 and 0 respectively

Solution : https://www.youtube.com/watch?v=DPWbOTGp_9I

4. An equivalent 2’s complement representation of the 2’s complement number is 1101 is
a. 110100
b. 001101
c. 110111
d. 111101

Solution : https://www.youtube.com/watch?v=BH31RXqm9Fg

5. An I/O processor control the flow of information between
a. Cache memory and I/O devices
b. Main memory and I/O devices
c. Two I/O devices
d. Cache and main memory

Solution : https://www.youtube.com/watch?v=8SBet_bHUDA

6. Two 2’s complement numbers having sign bits x and y are added and the sign bit of the result is z. Then, the occurrence of overflow is indicated by the Boolean function

Solution : https://www.youtube.com/watch?v=gFp7C8uuwPM

7. The advantage of using a dual slope ADC in a digital voltmeter is that
a. Its conversion time is small
b. Its accuracy is high
c. It gives output in BCD format
d. It does not require a comparator

Solution : https://www.youtube.com/watch?v=SXvefs7NmC4

8. For the identity, AB + A’C + BC = AB + A’C, the dual form is

Solution : https://www.youtube.com/watch?v=j77yeexgCk0

9. An instruction used to set the carry flag in a computer can be classified as
a. Data transfer
b. Arithmetic
c. Logical
d. Program control

Solution : https://www.youtube.com/watch?v=TP3A9M09aho

10. The figure is shows a mod – K counter, here K is equal to

a. 1
b. 2
c. 3
d. 4

Solution : https://www.youtube.com/watch?v=M521k-KIu3U

11. The current I flowing through resistance ‘r’ in the circuit shown is

a. -V/12R
b. V/12R
c. V/6R
d. V/3R

Solution : https://www.youtube.com/watch?v=II-54gb6N5Y

12. The K – map for a Boolean function is shown in the figure. The number of essential prime implicants for this function is

a. 4
b. 5
c. 6
d. 7

Solution : https://www.youtube.com/watch?v=gRJoq9yB70U

13. The mod – 5 counter is shown in the figure counts through states Q₂Q₁Q₀ = 000, 001, 010, 011 and 100.

a. Will the counter lockout if it happen to be in any one of the unused states?
b. Find the maximum rate at which the counter will operate satisfactorily. Assume the propagation delays of flip-flop and AND gate to be t_FF and t_A respectively.

Solution : https://www.youtube.com/watch?v=We99dI2DCJw

14. For the TTL circuit shown in the figure, find the current flowing through the collector of transistor Q₄, when V_o = 0.2 volts. Assume V_CEsat = 0.2 volts, β = 100 and V_BEsat = 0.7 volts. The α of Q₁ in its inverse active mode is 0.01.

Solution : https://www.youtube.com/watch?v=FuVdaxPnOqc

15. Write a short assembly language program, without using any arithmetic instruction, to store hexadecimal 5D in the flag register of 8085 microprocessor. Data in other registers of the processor must not alter upon executing this program.

Solution :

GATE 1998 ECE Video Solutions on EDC (Electronic Devices and Circuits)

1. The electron and hole concentrations in a intrinsic semiconductor are n_i and p_i respectively. When doped with a P-type material, these changes to n and p respectively. Then
a. n + P = n_i + P_i
b. n + n_i = p + p_i
c. np_i = n_ip
d. np = n_ip_i

Solution : https://www.youtube.com/watch?v=Zm31Ob0KekU

2. The static characteristic of an adequately forward biased PN junction is a straight line, if the plot is of
a. Log I vs. log V
b. Log I vs. V
c. I vs. log V
d. I vs. V

Solution : https://www.youtube.com/watch?v=dsHsIn6LSls

3. A long specimen of p-type semiconductor material
a. Is positively charged
b. Is electrically neutral
c. Has an electric field directed along its length
d. Acts as a dipole

Solution : https://www.youtube.com/watch?v=CMnmcekH-3g

4. Two identical FETs, each characterized by the parameters g_m and r_d are connected in parallel. The composite FET is then characterized by the parameters
a. g_m/2 and 2r_d
b. g_m/2 and r_d/2
c. 2g_m and r_d/2
d. 2g_m and 2r_d

Solution : https://www.youtube.com/watch?v=uXLjYKEeZIQ

5. The units of (q/KT) are
a. V
b. V^-1
c. J
d. J/K

Solution : https://www.youtube.com/watch?v=DQYndoxV0ps

6. The threshold voltage for each transistor in figure is 2 volts._i must take the values

For this circuit to work as an inverter, V
a. -5 volts and 0 volts
b. -5 volts and 5 volts
c. 0 volts and 3 volts
d. 3 volts and 5 volts

Solution : https://www.youtube.com/watch?v=pHfKL4yw4Ko

7.. The JFET in the circuit of figure is characterized by the parameters I_DSS = 4 mA and V_p = -4 volts. Find (a) V_o if V_i = 0 and (b) V_i if V_o = 0

Solution : https://www.youtube.com/watch?v=_5yCMN_4xO0

GATE 1998 ECE Analog Circuits (Analog Electronics) - Video Solutions

GATE 1998 ECE Video Solution on Digital Circuits (Digital Electronics)

GATE 1998 ECE Video Solutions on EDC (Electronic Devices and Circuits)

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