Test: Network Theory - Electrical Engineering (EE) MCQ

# Test: Network Theory - Electrical Engineering (EE) MCQ

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## 25 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Test: Network Theory

Test: Network Theory for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Test: Network Theory questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Network Theory MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Network Theory below.
Solutions of Test: Network Theory questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Test: Network Theory solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Test: Network Theory | 25 questions in 75 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
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Test: Network Theory - Question 1

### Unit of inductance is ________.

Detailed Solution for Test: Network Theory - Question 1
• The unit of inductance is Henry.
• Weber is the unit of magnetic flux.
• Tesla is the unit of flux density.
• Farad is the unit of capacitance.
Test: Network Theory - Question 2

### Which of the following is not the energy stored in a capacitor?

Detailed Solution for Test: Network Theory - Question 2

Energy stored in a capacitor, E = CV2/2
Using C = Q/V
E = CV2/2 = QV/2 = Q2/2C

Test: Network Theory - Question 3

### A voltage source of 20 sinπt V is connected across 10kΩ resistor. What is the current flow through the resistor?

Detailed Solution for Test: Network Theory - Question 3

Test: Network Theory - Question 4

The switch of below circuit was open for long and at t = 0 it is closed. What is the final steady state voltage across the capacitor and the time constant of the circuit?

Detailed Solution for Test: Network Theory - Question 4

Final value = 20/2 = 10 Volt
Time constant τ= 5 × 103 × 20 × 10-6
= 0.1 sec

Test: Network Theory - Question 5

The y parameter of the network given in figure is:

Detailed Solution for Test: Network Theory - Question 5

Test: Network Theory - Question 6

The power consumed by a coil is 300 W when connected to 30 V dc source and 108 W. When connected to a 30 V A.C. source. The reactance of the coil is:

Detailed Solution for Test: Network Theory - Question 6
• In DC, inductive reactance X=0; since f=0;
• Only, Resistance exist in coil for DC,
R=(30*30/300)=3 ohm;
• In AC, Z=R+jX;
• But here in second part of question we given that real power in ac circuit is 108 watt. We can calculate current in the ac circuit:
I=√(108/3)= √36=6 amp
• This current flow through resistance of AC circuit so this is the current of AC circuit.
• So,
Z =V/I
Z=30/6=5
X=√{5^2–3^2} = 4ohm
Test: Network Theory - Question 7

For a transmission line open circuit and short circuit impedances are 20 Ω and 5 Ω. Then characteristic impedance is:

Detailed Solution for Test: Network Theory - Question 7
• The characteristic impedance is the geometric mean of the short and open circuit impedance.
• It is given by Zo2 = Zsc Zoc. On substituting Zoc = 20 and Zsc = 5, we get Zo2 = 20 X 5 = 100.
• Thus Zo = 10 ohm.
Test: Network Theory - Question 8

A human nerve cell has an open circuit voltage of 80 mV and it can deliver a current of 5 nA through a 6 MΩ load. What is the maximum power available from the cell?

Detailed Solution for Test: Network Theory - Question 8

Test: Network Theory - Question 9

The Thevenin impedance across the terminal AB of the given network is:

Detailed Solution for Test: Network Theory - Question 9

Test: Network Theory - Question 10

The circuit shown in the figure Ris variable between 3 and 30 ohms RL being fixed.
Assertion (A): For Maximum power transfer across the terminals AB, Rg = 3?
Reason (R): When Maximum power transfer occurs RL = |Zg|

Detailed Solution for Test: Network Theory - Question 10

• PL is Maximum when IL is Maximum
• IL is Maximum when Rg in Minimum = 3Ω
• Thus A is True
• For Maximum power Transfer KL= |Zs|
• But here Rg is variable, so it should be low so R is True but not the correct explanation of A.
Test: Network Theory - Question 11

A line to neutral voltage is 10∠150V for a balanced three phase star connected load with phase sequence ABC. The voltage of line B with respect to line C is given by:

Detailed Solution for Test: Network Theory - Question 11

= 10 ∠150 Volt
Phase sequence is ABC

Line Voltage

= 10[1∠ - 1200 x 1∠15 - 1∠1200 x 1∠15]

*Answer can only contain numeric values
Test: Network Theory - Question 12

Determine Maximum power consumed in the load resistance R_____ (in watts)

(Important - Enter only the numerical value in the answer)

Detailed Solution for Test: Network Theory - Question 12

ω = 2πf = 2π x 50 = 100π
XL = ωL , Xc = 1/ωc
Thevenin equivalent across RL

PMax = ± 2RL = (0.026)2 x 132.07
PMax = 8.92 Watt

Test: Network Theory - Question 13

A series R-L-C circuit resonates at 4Hz it provides 0.707 lag P.F. at 8 Hz. The frequency at which it gives 0.707 lead P.F is?

Detailed Solution for Test: Network Theory - Question 13

f0 = 4 Hz,
Upper cut off frequency
f2 = 8Hz
lower cutoff f1 = ?

(4)2 = f1 x 8
16 = f1 x 8
f1 = 2Hz

Test: Network Theory - Question 14

In series RLC circuit, the voltage across capacitor and inductor are ______ with each other.

Detailed Solution for Test: Network Theory - Question 14

In series RLC circuit, the voltage across capacitor and inductor are 180⁰ out of phase with each other. The frequency at which the resonance occurs is called resonant frequency.

Test: Network Theory - Question 15

A series R-L-C circuit has a resonance frequency of 1kHz and a quality factor Q = 100. If each of R, L and C is doubled from its original value then new Q of the circuit is:

Detailed Solution for Test: Network Theory - Question 15

Quality factor:

if R, L, C double:
R' = 2R, L' = 2L, C' = 2C

Test: Network Theory - Question 16

A 25 Ω resistor has a voltage of 150 sin377 t. Find the corresponding power.

Detailed Solution for Test: Network Theory - Question 16

Test: Network Theory - Question 17

Consider the following function:

1.

2.

3.

4.

Which of the above function are LC driving point impedances?

Detailed Solution for Test: Network Theory - Question 17

Only (1) and (2) are L-C driving point impedance.

Test: Network Theory - Question 18

If an RC driving point impedance function Z(S) has an equal number of poles and zero’s at finite locations then:

Detailed Solution for Test: Network Theory - Question 18

Let us Consider:

Test: Network Theory - Question 19

For the circuit shown below the pole’s of the driving point impedance function are at which one of the following location?

Detailed Solution for Test: Network Theory - Question 19

A Pole at S = -1 and a zero at S = - 1/2.

Test: Network Theory - Question 20

The voltage and current wave functions for an element are shown in the figures.

The circuit element and its value are:

Detailed Solution for Test: Network Theory - Question 20

For L = 2H

So element is inductor and its value is 2H

Test: Network Theory - Question 21

The steady state in the circuit shown in the given figure is reached with S open. S is closed at t = 0. The current I at t = 0+ is:

Detailed Solution for Test: Network Theory - Question 21

KCL and node Vx

Test: Network Theory - Question 22

The total impedance Z(Jω) of the circuit shown below is:

Detailed Solution for Test: Network Theory - Question 22

Test: Network Theory - Question 23

Identify which of the following is not a tree of the graph shown in figure.

Detailed Solution for Test: Network Theory - Question 23

Test: Network Theory - Question 24

Two lamps each of 230V and 60W rating are connected in series across a single phase 230V supply. The total power consumed by the two lamps would be:

Detailed Solution for Test: Network Theory - Question 24

Resistance of each lamp

Hence Total resistance offered by 2 these lamps
So total power consumed by two lamps

Test: Network Theory - Question 25

For the R-L circuit shown the current i(t) for unit step input voltage will rise to 0.63 is:

Detailed Solution for Test: Network Theory - Question 25

The time at which the current rise to 63% of its final value is Time constant,

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