Network Theorems · Network Theory · GATE ECE
Start PracticeMarks 1
GATE ECE 2024
In the given circuit, the current $I_x$ (in mA) is _______ ....
GATE ECE 2023
In the circuit shown below, the current i flowing through 200 $$\Omega$$ resistor is __________ mA (rounded off to two decimal places).
...
GATE ECE 2021
Consider the circuit shown in the figure.The value of v0 (rounded off to one decimal place) is ______ V....
GATE ECE 2016 Set 2
In the circuit shown below, Vs is a constant voltage source and IL is a constant current load
The value of IL that maximizes the power absorbed by th...
GATE ECE 2015 Set 1
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 3
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 2014 Set 4
The magnitude of current (in mA) through the resistor R2 in the figure shown is _____.
...
GATE ECE 2014 Set 2
Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance
GATE ECE 2014 Set 1
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z1 of the first secti...
GATE ECE 2013
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 extra...
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
In the circuit shown below the value of RL such that the power transferred to RL is maximum
...
GATE ECE 2009
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...
GATE ECE 2007
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 2005
The maximum power that can be transferred to the load resistor RL from the voltage source in figure is
...
GATE ECE 2003
A source of angular frequency 1rad/sec has source impedance consisting of $$1\Omega$$ resistance in series with 1H inductance. The load that will obta...
GATE ECE 1998
Superposition theorem is NOT applicable to networks containing
GATE ECE 1995
The value of the resistance, R, connected across the terminals, A and B, (ref. Fig.), which will absorb the maximum power, is
...
GATE ECE 1994
A generator of internal impedance, ZG, delivers maximum power to a load impedance, ZL, only if ZL = ...................
GATE ECE 1993
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 maxi...
Marks 2
GATE ECE 2024
In the network shown below, maximum power is to be transferred to the load $R_L$.The value of $R_L$ (in Ω) is ______....
GATE ECE 2017 Set 2
Consider the circuit shown in the figure.
The Thevenin equivalent resistance (in Ω) across P – Q is _________....
GATE ECE 2016 Set 1
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________.
...
GATE ECE 2015 Set 2
In the circuit shown, the Norton equivalent resistance
(in Ω) across terminals a–b is ___________.
...
GATE ECE 2014 Set 3
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 impedance as seen from terminals b-b' ...
GATE ECE 2013
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...
GATE ECE 2013
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 resista...
GATE ECE 2012
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
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 dra...
GATE ECE 2012
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 dra...
GATE ECE 2009
In the circuit shown, what value of RL maximizes the power delivered to RL?
...
GATE ECE 2008
The Thevenin equivalent impedance Zth between the nodes P and Q in the
following circuit is
...
GATE ECE 2007
For the circuit shown in the figure, the Thevenin voltage and resistance looking
into X-Y are:
...
GATE ECE 2005
For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent
resistance at terminals a – b is
...
GATE ECE 2002
In the network of Figure, the maximum power is delivered to RL if its value is
...
GATE ECE 2001
In figure, the value of the load resistor R which maximizes the power
delivered to it is
...
GATE ECE 2001
The voltage e0 in figure is
...
GATE ECE 2000
Use the data of Fig.(a). The current i in the circuit of Fig.(b) is
...
GATE ECE 1999
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 1993
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 v...
GATE ECE 1989
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 dissipate...
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. The turns ratio of the transf...
GATE ECE 1988
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 ...
Marks 5
GATE ECE 1999
For the network shown in Fig., evaluate the current I flowing through the 2Ω
resistor using superposition theorem.
...
GATE ECE 1998
A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of
impedance $${\mathrm R}_\math...
GATE ECE 1997
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 power.
(b) Find the value of E....
GATE ECE 1996
In the circuit shown in Fig., it is known that the variable current source I absorbs power.Find I (in magnitude and direction) so that it receives max...
GATE ECE 1995
Determine the current, i(t), in the circuit given below, (Fig.), using the Thevenin's theorem.
...