Description

This mock test of Network Theory for GATE helps you for every GATE entrance exam.
This contains 25 Multiple Choice Questions for GATE Network Theory (mcq) to study with solutions a complete question bank.
The solved questions answers in this Network Theory quiz give you a good mix of easy questions and tough questions. GATE
students definitely take this Network Theory exercise for a better result in the exam. You can find other Network Theory extra questions,
long questions & short questions for GATE on EduRev as well by searching above.

QUESTION: 1

If a differential equation is said to be homogeneous, what would be the value of a forcing function?

Solution:

QUESTION: 2

For a series R-L-C resonant circuit, what is the total reactance at the lower half power frequency?

Solution:

QUESTION: 3

Two AC sources feed a common variable resistive load as shown in figure below

The maximum power that can be transferred to a variable load R_{L} is _______ W.

Solution:

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?

Solution:

Final value = 20/2 = 10 Volt

Time constant τ= 5 × 10^{3} × 20 × 10^{-6}

= 0.1 sec

QUESTION: 5

The y parameter of the network given in figure.

Solution:

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

Solution:

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

QUESTION: 7

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

Solution:

QUESTION: 8

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

Solution:

QUESTION: 9

The Thenenin impedance across the terminal AB of the given network is

Solution:

QUESTION: 10

The circuit shown in the figure R_{g }is variable between 3 and 30 ohms R_{L} being fixed

**Assertion (A):** For Maximum power transfer across the terminals AB, R_{g} = 3?

**Reason (R):** When Maximum power transfer occurs R_{L} = |Z_{g}|

Solution:

P_{L} is Maximum when I_{L} is Maximum

I_{L} is Maximum when R_{g} in Minimum = 3Ω

A is True

For Maximum power Transfer K_{L}= |Z_{s}|

But here R_{g} is variable, so it should be low so R is True but not the correct explanation of A.

QUESTION: 11

A line to neutral voltage is 10∠15^{0}V 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

Solution:

= 10 ∠15^{0} Volt

Phase sequence is ABC

Line Voltage

= 10[1∠ - 120^{0} x 1∠15 - 1∠120^{0} x 1∠15]

*Answer can only contain numeric values

QUESTION: 12

Determine Maximum power consumed in the load resistance R_{L }_____ (in watts)

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

Solution:

ω = 2πf = 2π x 50 = 100π

X_{L} = ωL , X_{c} = 1/ω_{c}

Thevenin equivalent across R_{L}

P_{Max} = ± 2R_{L} = (0.026)^{2} x 132.07

P_{Max} = 8.92 Watt

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?

Solution:

f_{0} = 4 Hz,

Upper cut off frequency

f_{2} = 8Hz

lower cutoff f_{1} = ?

(4)^{2} = f_{1} x 8

16 = f_{1} x 8

f_{1} = 2Hz

QUESTION: 14

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

Solution:

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.

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

Solution:

Quality factor

if R, L, C double

R' = 2R, L' = 2L, C' = 2C

*Answer can only contain numeric values

QUESTION: 16

The system is initially at rest for voltage signal of unit step i(t) = ?

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

Solution:

QUESTION: 17

Consider the following function

1.

2.

3.

4.

Which of the above function are LC driving point impedances?

Solution:

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

QUESTION: 18

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

Solution:

Let us Consider

QUESTION: 19

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

Solution:

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

QUESTION: 20

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

The circuit element and its value are

Solution:

For L = 2H

So element is inductor and its value is 2H

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 ar t = 0^{+} is

Solution:

KCL and node V_{x}

QUESTION: 22

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

Solution:

QUESTION: 23

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

Solution:

Tree

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

Solution:

Resistance of each lamp

Hence Total resistance offered by 2 these lamps

So total power consumed by two lamps

QUESTION: 25

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

Solution:

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

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