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Network Theory GATE Questions

A highly popular method used to prepare for the GATE Exam is to sincerely practise all the previous years’ GATE Questions to attain perfection. Candidates can practise, analyze and understand concepts while solving them. It will also help you strengthen your time management skills. We have attempted to compile, here in this article, a collection of GATE Questions on Network Theory.

Candidates are urged to practise these Network Theory GATE previous years’ questions to get the best results. Network Theory is an important topic in the GATE ECE question paper, and solving these questions will help the candidates to prepare more proficiently for the GATE exams. Meanwhile, candidates can find the GATE Questions for Network Theory in this article below to solve and practise before the exams. They can also refer to these GATE previous year question papers and start preparing for the exams.

GATE Questions on Network Theory

  1. A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ______.

    2. (GATE ECE 2017 Set 2)

    1. 2.14
    2. 3.05
    3. 4
    4. 5

    Answer (a)

  2. In the given circuit, the values of V1 and V2 respectively are ______.

    3. (GATE ECE 2015 Set 1)

    Network theory fig. 1

    1. 5 V, 25 V
    2. 10 V, 30 V
    3. 15 V, 35 V
    4. 0 V, 20 V

    Answer (a)

  3. The circuit shown in the figure represents a ______.

    4. (GATE ECE 2014 Set 4)

    Network theory fig. 2

    1. Voltage controlled voltage source
    2. Voltage controlled current source
    3. Current controlled current source
    4. Current controlled voltage source

    Answer (c)

  4. In the figure shown, the value of the current I (in Amperes) is ______.

    5. (GATE ECE 2014 Set 3)

    Network theory fig. 3

    1. 2
    2. 0.5
    3. 1
    4. 0

    Answer (b)

  5. Consider a delta connection of resistors and its equivalent star connection, as shown below. If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of ______.

    6. (GATE ECE 2013)

    Network theory fig. 4

    1. \(\begin{array}{l}k^{2}\end{array} \)
    2. K
    3. 1/k
    4. \(\begin{array}{l}\sqrt{k}\end{array} \)

    Answer (b)

  6. In the circuit shown, the switch SW is thrown from position A to position B at time t = 0. The energy (in μJ) taken from the 3V source to charge the 0.1 μF capacitor from 0V to 3V is ______.

    7. (GATE ECE 2015 Set 1)

    Network theory fig. 5

    1. 0.9
    2. 0.45
    3. 0.3
    4. 3

    Answer (a)

  7. The figure shows an RLC circuit with a sinusoidal current source

    8. Network theory fig. 6

    At response, the ratio |IL|/|IR|, i.e. the ratio of the magnitudes of the inductor current phasor and the resistor current phasor, is ______.

    (GATE ECE 2016 Set 2)

    1. 0.32
    2. 0.5
    3. 0
    4. 1
    5. Answer (a)
  8. Consider a DC voltage source connected to a series R-C circuit. When the steady-state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to

    9. (GATE ECE 1995)

    1. 0.362
    2. 0.00
    3. 0.632
    4. 1.000

    Answer (b)

  9. A DC voltage source is connected across a series R-L-C circuit. Under steady-state conditions, the applied DC voltage drops entirely across the

    10. (GATE ECE 1995)

    1. R only
    2. L only
    3. C only
    4. R and L combination

    Answer (c)

  10. The condition, that a 2-port network is reciprocal, can be expressed in terms of its ABCD parameters as ______.

    11. (GATE ECE 1994)

    1. AB-BC = 1
    2. AB-BC = 2
    3. AB-BC = 4
    4. AB-BC = 5

    Answer (a)

  11. The Nodal method of circuit analysis is based on

    12. (GATE ECE 1998)

    1. KVL and Ohm’s law
    2. KCL and Ohm’s law
    3. KCL and KVL
    4. KCL, KVL and Ohm’s law

    Answer (b)

  12. The voltage V in Fig. is

    13. (GATE ECE 1997)

    Network theory fig. 7

    1. 10 V
    2. 15 V
    3. 5 V
    4. None of the above

    Answer (a)

  13. Two 2H inductance coils are connected in series and are also magnetically coupled to each other, the coefficient of coupling being 0.1. The total inductance of the combination can be

    14. (GATE ECE 1995)

    1. 0.4 H
    2. 3.2 H
    3. 4.0 H
    4. 4.4 H

    Answer (d)

  14. A dc circuit shown in the figure has a voltage source V, a current source I and several resistors. A particular resistor R dissipates a power of 4 Watts when V alone is active. The same resistor R dissipates a power of 9 Watts when I alone is active. The power dissipated by R when both sources are active will be

    15. (GATE ECE 1993)

    Network theory fig. 8

    1. 1 W
    2. 5 W
    3. 13 W
    4. 25 W

    Answer (d)

  15. A source of angular frequency 1rad/sec has source an impedance consisting of 1Ω resistance in series with 1H inductance. The load that will obtain maximum power transfer is

    16. (GATE ECE 2003)

    1. 1Ω resistance
    2. 1Ω resistance in parallel with 1H inductance
    3. 1Ω resistance in series with 1F capacitor
    4. 1Ω resistance in parallel with 1F capacitor

    Answer (c)

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