GATE ECE
Network Theory
Network Theorems
Previous Years Questions

## Marks 1

Consider the circuit shown in the figure.The value of v0 (rounded off to one decimal place) is ______ V....
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...
For the circuit shown in the figure, the Thevenin equivalent voltage (in Volts) across terminals a-b is _____. ...
In the circuit shown, the voltage Vx (in Volts) is ______. ...
In the network shown in the figure, all resistors are identical with R = 300 $$\Omega$$. The resistance Rab (in $$\Omega$$) of the network is _______....
The magnitude of current (in mA) through the resistor R2 in the figure shown is _____. ...
Norton's theorem states that a complex network connected to a load can be replaced with an equivalent impedance
For maximum power transfer between two cascaded sections of an electrical network, the relationship between the output impedance Z1 of the first secti...
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...
In the circuit shown below the value of RL such that the power transferred to RL is maximum ...
In the circuit shown below, the Norton equivalent current in amperes with respect to terminals P and Q is ...
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...
An independent voltage source in series with an impedance Zs=Rs+jXs delivers a maximum average power to a load impedance ZL when...
The maximum power that can be transferred to the load resistor RL from the voltage source in figure is ...
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...
Superposition theorem is NOT applicable to networks containing
The value of the resistance, R, connected across the terminals, A and B, (ref. Fig.), which will absorb the maximum power, is ...
A generator of internal impedance, ZG, delivers maximum power to a load impedance, ZL, only if ZL = ...................
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

Consider the circuit shown in the figure. The Thevenin equivalent resistance (in Ω) across P – Q is _________....
In the circuit shown in the figure, the maximum power (in watt) delivered to the resistor R is _________. ...
In the circuit shown, the Norton equivalent resistance (in Ω) across terminals a–b is ___________. ...
In the circuit shown in the figure, the value of node voltage V2 is ...
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' ...
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...
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...
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 ...
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...
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...
In the circuit shown, what value of RL maximizes the power delivered to RL? ...
The Thevenin equivalent impedance Zth between the nodes P and Q in the following circuit is ...
For the circuit shown in the figure, the Thevenin voltage and resistance looking into X-Y are: ...
For the circuit shown in figure, Thevenin’s voltage and Thevenin’s equivalent resistance at terminals a – b is ...
In the network of Figure, the maximum power is delivered to RL if its value is ...
The voltage e0 in figure is ...
In figure, the value of the load resistor R which maximizes the power delivered to it is ...
Use the data of Fig.(a). The current i in the circuit of Fig.(b) is ...
The value of R (in ohms) required for maximum power transfer in the network shown in Fig. is ...
The Thevenin equivalent voltage VTH appearing between the terminals A and B of the network shown in Fig. is given by ...
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...
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...
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

For the network shown in Fig., evaluate the current I flowing through the 2Ω resistor using superposition theorem. ...
A voltage source of internal impedance $${\mathrm R}_\mathrm s\;+\;{\mathrm{jX}}_\mathrm s$$ supplies power to a load of impedance {\mathrm R}_\math...
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....
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...
Determine the current, i(t), in the circuit given below, (Fig.), using the Thevenin's theorem. ...
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