Network Theorems · Network Theory · GATE ECE

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Marks 1

1

In the given circuit, the current $I_x$ (in mA) is _______ .

GATE ECE 2024 Network Theory - Network Theorems Question 2 English
GATE ECE 2024
2

In the circuit shown below, the current i flowing through 200 $$\Omega$$ resistor is __________ mA (rounded off to two decimal places).

GATE ECE 2023 Network Theory - Network Theorems Question 3 English

GATE ECE 2023
3
Consider the circuit shown in the figure.

GATE ECE 2021 Network Theory - Network Theorems Question 4 English

The value of v0 (rounded off to one decimal place) is ______ V.
GATE ECE 2021
4
In the circuit shown below, Vs is a constant voltage source and IL is a constant current load
GATE ECE 2016 Set 2 Network Theory - Network Theorems Question 35 English
The value of IL that maximizes the power absorbed by the constant current load is
GATE ECE 2016 Set 2
5
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals a-b is _____.
GATE ECE 2015 Set 3 Network Theory - Network Theorems Question 37 English
GATE ECE 2015 Set 3
6
In the circuit shown, the voltage Vx (in Volts) is ______.
GATE ECE 2015 Set 3 Network Theory - Network Theorems Question 36 English
GATE ECE 2015 Set 3
7

In the network shown in the figure, all resistors are identical with R = 300 $$\Omega$$. The resistance Rab (in $$\Omega$$) of the network is _______.

GATE ECE 2015 Set 1 Network Theory - Network Theorems Question 38 English
GATE ECE 2015 Set 1
8
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z1 of the first section to the input impedance Z2 of the second section is
GATE ECE 2014 Set 1
9

The magnitude of current (in mA) through the resistor R2 in the figure shown is _____.

GATE ECE 2014 Set 4 Network Theory - Network Theorems Question 39 English
GATE ECE 2014 Set 4
10
Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance
GATE ECE 2014 Set 2
11
A source vs(t) = V cos 100 $$\pi$$t has an internal impedance of (4 + j3) $$\Omega$$. If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in $$\Omega$$ shoud be
GATE ECE 2013
12
In the circuit shown below, the Norton equivalent current in amperes with respect to terminals P and Q is GATE ECE 2011 Network Theory - Network Theorems Question 43 English
GATE ECE 2011
13
In the circuit shown below the value of RL such that the power transferred to RL is maximum GATE ECE 2011 Network Theory - Network Theorems Question 44 English
GATE ECE 2011
14

A fully charged mobile phone with a 12 V battery is good for a 10 minute talk-time. Assume that, during the talk-time, the battery delivers a constant current of 2 A and its voltage drops linearly from 12 V to 10 V as shown in the figure. How much energy does the battery deliver during this talk-time?

GATE ECE 2009 Network Theory - Network Theorems Question 5 English
GATE ECE 2009
15
An independent voltage source in series with an impedance Zs=Rs+jXs delivers a maximum average power to a load impedance ZL when
GATE ECE 2007
16
The maximum power that can be transferred to the load resistor RL from the voltage source in figure is GATE ECE 2005 Network Theory - Network Theorems Question 46 English
GATE ECE 2005
17
A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H inductance. The load that will obtain maximum power transfer is
GATE ECE 2003
18

Superposition theorem is NOT applicable to networks containing

GATE ECE 1998
19

The value of the resistance, R, connected across the terminals, A and B, (ref. Fig.), which will absorb the maximum power, is

GATE ECE 1995 Network Theory - Network Theorems Question 49 English
GATE ECE 1995
20

A generator of internal impedance, ZG, delivers maximum power to a load impedance, ZL, only if ZL = ................

GATE ECE 1994
21

If the secondary winding of the ideal transformer shown in the circuit of the figure has 40 turns, the number of turns in the primary winding for maximum power transfer to the 2 Ω resistor will be

GATE ECE 1993 Network Theory - Network Theorems Question 51 English
GATE ECE 1993

Marks 2

1

In the network shown below, maximum power is to be transferred to the load $R_L$.

GATE ECE 2024 Network Theory - Network Theorems Question 1 English

The value of $R_L$ (in Ω) is ______.

GATE ECE 2024
2

Consider the circuit shown in the figure.

GATE ECE 2017 Set 2 Network Theory - Network Theorems Question 12 English

The Thevenin equivalent resistance (in Ω) across P – Q is _________.

GATE ECE 2017 Set 2
3

In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________.

GATE ECE 2016 Set 1 Network Theory - Network Theorems Question 13 English
GATE ECE 2016 Set 1
4

In the circuit shown, the Norton equivalent resistance (in Ω) across terminals a–b is ___________.

GATE ECE 2015 Set 2 Network Theory - Network Theorems Question 14 English
GATE ECE 2015 Set 2
5
In the circuit shown in the figure, the value of node voltage V2 is

GATE ECE 2014 Set 3 Network Theory - Network Theorems Question 16 English
GATE ECE 2014 Set 3
6
In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s), at which the Norton equivalent impedance as seen from terminals b-b' is purely resistive, is _______.
GATE ECE 2014 Set 3 Network Theory - Network Theorems Question 15 English
GATE ECE 2014 Set 3
7
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage Vwx1 = 100V is applied across WX to get an open circuit voltage YZ1 V across YZ. Next, an ac voltage VYZ2 =100V is applied across YZ to get an open circuit voltage VWX2 across WX. Then, VYZ1 / VWX1 , VWX2 / VYZ2 are respectively, GATE ECE 2013 Network Theory - Network Theorems Question 17 English
GATE ECE 2013
8
In the circuit shown below, if the source voltage Vs =100$$\angle$$53.130V then the Thevenin’s equivalent voltage in Volts as seen by the load resistance RL is GATE ECE 2013 Network Theory - Network Theorems Question 18 English
GATE ECE 2013
9
Assuming both the voltage sources are in phase the value of R for which maximum power is transferred from circuit A to circuit B is GATE ECE 2012 Network Theory - Network Theorems Question 21 English
GATE ECE 2012
10
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1Ω connected at port B draws a current of 3 A
(ii) 2.5Ω connected at port B draws a current of 2 A
GATE ECE 2012 Network Theory - Network Theorems Question 20 English
For the same network, with 6 V dc connected at port A, 1Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is
GATE ECE 2012
11
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1Ω connected at port B draws a current of 3 A
(ii) 2.5Ω connected at port B draws a current of 2 A
GATE ECE 2012 Network Theory - Network Theorems Question 19 English
With 10 V dc connected at port A, the current drawn by 7Ω connected at port B is
GATE ECE 2012
12
In the circuit shown, what value of RL maximizes the power delivered to RL? GATE ECE 2009 Network Theory - Network Theorems Question 22 English
GATE ECE 2009
13
The Thevenin equivalent impedance Zth between the nodes P and Q in the following circuit is GATE ECE 2008 Network Theory - Network Theorems Question 23 English
GATE ECE 2008
14
For the circuit shown in the figure, the Thevenin voltage and resistance looking into X-Y are: GATE ECE 2007 Network Theory - Network Theorems Question 24 English
GATE ECE 2007
15

For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is

GATE ECE 2005 Network Theory - Network Theorems Question 25 English
GATE ECE 2005
16

In the network of Figure, the maximum power is delivered to RL if its value is

GATE ECE 2002 Network Theory - Network Theorems Question 26 English
GATE ECE 2002
17

In figure, the value of the load resistor R which maximizes the power delivered to it is

GATE ECE 2001 Network Theory - Network Theorems Question 27 English
GATE ECE 2001
18

The voltage e0 in figure is

GATE ECE 2001 Network Theory - Network Theorems Question 28 English
GATE ECE 2001
19

Use the data of Fig.(a). The current i in the circuit of Fig.(b) is

GATE ECE 2000 Network Theory - Network Theorems Question 29 English
GATE ECE 2000
20

The Thevenin equivalent voltage VTH appearing between the terminals A and B of the network shown in Fig. is given by

GATE ECE 1999 Network Theory - Network Theorems Question 31 English
GATE ECE 1999
21

The value of R (in ohms) required for maximum power transfer in the network shown in Fig. is

GATE ECE 1999 Network Theory - Network Theorems Question 30 English
GATE ECE 1999
22
In the circuit of figure, when switch S1 is closed, the ideal ammeter M1 reads 5A. What will be ideal voltmeter M2 read when S1 is kept open? (The value of E is not specified). GATE ECE 1993 Network Theory - Network Theorems Question 6 English
GATE ECE 1993
23

In the circuit of figure, the power dissipated in the register R is 1W when only source '1' is present and '2' replaced by a short.The power dissipated in the same registor R is 4W when only source '2' is present and '1' is replaced by a short.When both the source '1' and '2' are present, the power dissipated in R will be:

GATE ECE 1989 Network Theory - Network Theorems Question 33 English
GATE ECE 1989
24

A load, ZL = RL + jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS = RS + jXS. The turns ratio of the transformer required is

GATE ECE 1989
25

If an impedance ZL is connected across a voltage source V with source impedance ZS, then for maximum power transfer, the load impedance must be equal to

GATE ECE 1988

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