GATE ECE

Network Theorems

Network Theory

(Past Years Questions)

Marks 1

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In the circuit shown below, Vs is a constant voltage source and IL is a constant current load The value of IL that maxi...
GATE ECE 2016 Set 2
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals a-b is _____. ...
GATE ECE 2015 Set 3
In the circuit shown, the voltage Vx (in Volts) is ______. ...
GATE ECE 2015 Set 3
In the network shown in the figure, all resistors are identical with R = 300 $$\Omega$$. The resistance Rab (in $$\Omega...
GATE ECE 2015 Set 1
The magnitude of current (in mA) through the resistor R2 in the figure shown is _____. ...
GATE ECE 2014 Set 4
Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance
GATE ECE 2014 Set 2
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output i...
GATE ECE 2014 Set 1
A source vs(t) = V cos 100 $$\pi$$t has an internal impedance of (4 + j3) $$\Omega$$. If a purely resistive load connect...
GATE ECE 2013
In the circuit shown below the value of RL such that the power transferred to RL is maximum ...
GATE ECE 2011
In the circuit shown below, the Norton equivalent current in amperes with respect to terminals P and Q is ...
GATE ECE 2011
An independent voltage source in series with an impedance Zs=Rs+jXs delivers a maximum average power to a load impedance...
GATE ECE 2007
The maximum power that can be transferred to the load resistor RL from the voltage source in figure is ...
GATE ECE 2005
A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H induc...
GATE ECE 2003
Superposition theorem is NOT applicable to networks containing
GATE ECE 1998
The value of the resistance, R, connected across the terminals, A and B, (ref. Fig.), which will absorb the maximum powe...
GATE ECE 1995
A generator of internal impedance, ZG, delivers maximum power to a load impedance, ZL, only if ZL = ...................
GATE ECE 1994
If the secondary winding of the ideal transformer shown in the circuit of the figure has 40 turns, the number of turns i...
GATE ECE 1993

Marks 2

More
Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P – Q is _________....
GATE ECE 2017 Set 2
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________. ...
GATE ECE 2016 Set 1
In the circuit shown, the Norton equivalent resistance (in Ω) across terminals a–b is ___________. ...
GATE ECE 2015 Set 2
In the circuit shown in the figure, the value of node voltage V2 is ...
GATE ECE 2014 Set 3
In the circuit shown in the figure, the angular frequency $$\omega$$ (in rad/s), at which the Norton equivalent impedanc...
GATE ECE 2014 Set 3
In the circuit shown below, if the source voltage Vs =100$$\angle$$53.130V then the Thevenin’s equivalent voltage in Vol...
GATE ECE 2013
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac ...
GATE ECE 2013
Assuming both the voltage sources are in phase the value of R for which maximum power is transferred from circuit A to c...
GATE ECE 2012
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:...
GATE ECE 2012
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed: ...
GATE ECE 2012
In the circuit shown, what value of RL maximizes the power delivered to RL? ...
GATE ECE 2009
The Thevenin equivalent impedance Zth between the nodes P and Q in the following circuit is ...
GATE ECE 2008
For the circuit shown in the figure, the Thevenin voltage and resistance looking into X-Y are: ...
GATE ECE 2007
For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is ...
GATE ECE 2005
In the network of Figure, the maximum power is delivered to RL if its value is ...
GATE ECE 2002
The voltage e0 in figure is ...
GATE ECE 2001
In figure, the value of the load resistor R which maximizes the power delivered to it is ...
GATE ECE 2001
Use the data of Fig.(a). The current i in the circuit of Fig.(b) is ...
GATE ECE 2000
The Thevenin equivalent voltage VTH appearing between the terminals A and B of the network shown in Fig. is given by ...
GATE ECE 1999
The value of R (in ohms) required for maximum power transfer in the network shown in Fig. is ...
GATE ECE 1999
In the circuit of figure, the power dissipated in the register R is 1W when only source '1' is present and '2' replaced...
GATE ECE 1989
A load, ZL = RL + jXL is to be matched, using an ideal transformer, to a generator of internal impedance, ZS = RS + jXS ...
GATE ECE 1989
If an impedance ZL is connected across a voltage source V with source impedance ZS, then for maximum power transfer, the...
GATE ECE 1988

Marks 5

More
For the network shown in Fig., evaluate the current I flowing through the 2Ω resistor using superposition theorem. ...
GATE ECE 1999
A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of...
GATE ECE 1998
In the circuit of Fig. when R = 0 Ω, the current iR equals 10 A. (a) Find the value of R for which it absorbs maximum p...
GATE ECE 1997
In the circuit shown in Fig., it is known that the variable current source I absorbs power.Find I (in magnitude and dire...
GATE ECE 1996
Determine the current, i(t), in the circuit given below, (Fig.), using the Thevenin's theorem. ...
GATE ECE 1995

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