Network Theory 2025 — MAKAUT · EC-304 · Mid Sem PYQ with solutions

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Maulana Abul Kalam Azad University of Technology

Solutions

31 answers across 3 groups

Try each question first, then open it to check your answer.

Group AVery Short Answer Type Question · answer any 10 · 1 mark each

  1. I

    At resonance, the circuit is resistive with zero power factor and the current, voltage are in phase. Mention either the statement is correct or incorrect.

    Free sample

    Answer: Incorrect

    Explanation

    At resonance, the circuit is indeed purely resistive and the current and voltage are in phase. However, because the phase angle is 0, the power factor is cos⁡(0∘)=1\cos(0^\circ) = 1 (unity power factor), not zero.

  2. II

    The time constant of an RL circuit

  3. III

    A sinusoidal input function will produce an oscillatory response in an RLC circuit. State whether it is true or false.

  4. IV

    The conditions to be satisfied for the Fourier series of a function to exist are called

  5. V

    A passive filter is constructed from ________ elements.

  6. VI

    When the maximum power is transferred, the efficiency of the circuit is

  7. VII

    When a series RL circuit is connected to a voltage source V at t=0,t=0, the current passing through the resistor at steady-state is

  8. VIII

    For a physically realizable circuit, the impulse response is

  9. IX

    The Fourier series expansion of a periodic signal having ________ symmetry contains odd harmonics only.

  10. X

    The ratio of the current transform at one port to voltage transform at another port is called

  11. XI

    For the circuit shown in figure, Thevenin's voltage and equivalent resistance at terminal a-b is

    TEXT
          1 A
  +--->(->)---+-- a --> I1 --[ 5 Ω ]--+
  |           |                       |
 (+)         [ ]                     --- 10 V
0.5 I1       5 Ω                      -
 (-)         [ ]                      |
  |           |                       |
  +-----------+-- b ------------------+
    Show answer to question XI
  12. XII

    When a series RC circuit is connected to a voltage source V at t=0t=0 the current passing through the resistor at steady-state is

Group BShort Answer Type Question · answer any 3 · 5 marks each

  1. 2

    Find the Laplace Transform of f(t)=e4tsin⁡3tf(t)=e^{4t}\sin^{3}t

  2. 3

    Find the value of R if the average power dissipated in the resistor is 2000 W, if the voltage has the following Fourier series:

    V(t)=400sin⁡(ωt)+300sin⁡(3ωt)+100sin⁡(5ωt)V(t)=400 \sin(\omega t)+300 \sin(3\omega t)+100 \sin(5\omega t)

    Show answer to question 3
  3. 4

    A series RLC circuit which resonates at 500 KHz has R=25R=25 ohm, L=100L=100 uH and C=1000pF.C=1000pF. Determine the Q0Q_{0}. Also calculate C, Q0Q_{0} for doubled value of L.

  4. 5

    Find the voltage across the 5 ohm resistance in the Figure using Superposition Theorem.

    TEXT
             10 Ω        A      5 Ω      B
 +-------[  ]--------+------[  ]-----+-----+
 |                   |               |     |
(+)                 [ ]             [ ]   [ ] 12 Ω
15 V                15 Ω            8 Ω    |
(-)                 [ ]              |    (^) 5 A
 |                   |              (+)    |
 |                   |              30V    |
 |                   |              (-)    |
 +-------------------+---------------+-----+
    Show answer to question 5
  5. 6

    For the network shown in figure, determine V1/I1V_{1}/I_{1} and V2/V1V_{2}/V_{1}.

    TEXT
             1 Ω                2 Ω
 +----->[  ]-------+--------[  ]----->----+
 |   I1            |                I2    |
(+)               [ ]                    (+)
 V1               5 Ω                     V2
(-)               [ ]                    (-)
 |                 |                      |
 +-----------------+----------------------+
    Show answer to question 6

Group CLong Answer Type Question · answer any 3 · 15 marks each

  1. 7(a)

    What are transmission parameters? Where are they most effective used?

    3 marks
  2. 7(b)

    Calculate the ABCD parameters of the network shown in figure.

    TEXT
         I1       1 Ω               2 Ω       I2
 +-->-------[  ]-------+--------[  ]------+----<---+
 |                     |                  |        |
(+)                   [ ]                [ ]      (+)
 V1                   2 Ω                4 Ω       V2
(-)                   [ ]                [ ]      (-)
 |                     |                  |        |
 +---------------------+------------------+--------+
    Show answer to question 7(b)6 marks
  3. 7(c)

    Find the hybrid parameters of the circuit given below.

    6 marks
  4. 8(a)

    State and prove the time shifting and frequency shifting property in the context of Laplace Transformation.

    7 marks
  5. 8(b)

    In the series RL circuit, the switch is in position 1 long enough to establish the steady-state and is switched to position 2 at t=0t=0 Find the current using Laplace Transformation.

    TEXT
           1  /
 +------o/  o 2 -------------+
 |          |                |
(+)         |               [ ] 10 Ω
50V         |               [ ]
(-)         |                |
 |          |               === 0.2 H
 |          |                |
 +----------+----------------+
    Show answer to question 8(b)6 marks
  6. 8(c)

    State the initial value theorem in the context of Laplace Transform.

    2 marks
  7. 9(a)

    Find the Laplace Transformation of the waveform shown in figure.

    [Figure: A periodic sawtooth waveform starting at the origin. The signal f(t) ramps linearly from 0 to A over the period T, instantly drops back to 0, and repeats for 2T, 3T, etc.]

    Show answer to question 9(a)5 marks
  8. 9(b)

    Find the Inverse Laplace Transformation of (s2−15s−11)/{(s+1)(s−2)2}(s^{2}-15s-11)/\{(s+1)(s-2)^{2}\}

    5 marks
  9. 9(c)

    State and prove the final value theorem in the context of Laplace Transform

    5 marks
  10. 10(a)

    Derive the expression of the RLC parallel resonance for AC excitation.

    5 marks
  11. 10(b)

    Prove that the Bandwidth of a series RLC circuit is R/L.

    5 marks
  12. 10(c)

    A parallel RLC circuit has a quality factor of 50 at unity power factor and operates at 1 kHz and dissipates 2W when driven by 2 A (rms) at 1kHz. Find bandwidth and numerical values of R, L and C.

    5 marks
  13. 11(a)

    If Z11=30Z_{11}=30 ohm, Z12=10Z_{12}=10 ohm, Z21=15Z_{21}=15 ohm, Z22=20Z_{22}=20 ohm, for the two-port network shown in figure, calculate the average power delivered to the 40 ohm resistance.

    TEXT
                10 Ω    I1             I2
 +----------[  ]----->+-----------+<-----+
 |                    | Two-port  |      |
(+) 50|0 V           (+) network (+)    [ ]
(-) RMS               V1          V2    40 Ω
 |                    (-)         (-)   [ ]
 |                    |           |      |
 +--------------------+-----------+------+
    Show answer to question 11(a)8 marks
  14. 11(b)

    Find the Z-parameters of the two-port network shown in figure below.

    TEXT
              +-------[ 6 Ω ]-------+
     I1   |                     |   I2
 1 +-->---+--[ 6 Ω ]---+--[ 6 Ω ]---+---<--+ 2
          |            |            |      |
         (+)          [ ]          (+)
 V1                   6 Ω           V2
         (-)          [ ]          (-)
          |            |            |
 1' - ----+------------+------------+------+ 2'
    Show answer to question 11(b)7 marks

About this paper

The MAKAUT Network Theory (EC-304) 2025 Mid Sem previous year question paper, set in semester 3. Download the verified PDF or read it online, then check your answers against the worked solutions above.

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Why solve Network Theory PYQs?

Frequently asked questions

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What is the subject code for Network Theory?

EC-304 is the MAKAUT subject code for Network Theory.

Which exam is this Network Theory question paper from?

The MAKAUT 2025 Mid Sem exam, semester 3. A student shared it, and it was checked before publishing.

Which branches is this Network Theory paper for?

B.Tech Electronics and Communication Engineering.

Where can I find more EC-304 question papers?

On the Network Theory subject page, which collects every year's papers along with notes and the syllabus.

Are there solutions for this paper?

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