# Network Elements · Network Theory · GATE ECE

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## Marks 1

GATE ECE 2022
The current I in the circuit shown is _________. ...
GATE ECE 2022
Consider the circuit shown in the figure. The current I flowing through the 10 $$\Omega$$ resister is ___________. ...
GATE ECE 2021
Consider the circuit shown in the figure.The current I flowing through the 7$$\Omega$$ resistor between P and Q (rounded off to one decimal place) is ...
GATE ECE 2017 Set 2
A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω ...
GATE ECE 2015 Set 1
In the given circuit, the values of V1 and V2 respectively are ...
GATE ECE 2014 Set 4
The circuit shown in the figure represents a ...
GATE ECE 2014 Set 3
In the figure shown, the value of the current I (in Amperes) is __________. ...
GATE ECE 2014 Set 1
Consider the configuration shown in the figure which is a portion of a larger electrical network For R = 1 Ω and currents i1 = 2A, i4 = -1A, i5 = -...
GATE ECE 2013
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a fa...
GATE ECE 2012
In the circuit shown below, current through the inductor is ...
GATE ECE 2012
The independence looking into nodes 1 and 2 in the given circuit is ...
GATE ECE 2012
The average power delivered to an impedance $(4-j 3) \Omega$ by a current $5 \cos (100 \pi t+100) A$ is
GATE ECE 2009
In the interconnection of ideal sources shown in the figure, it is known that the 60V source is absorbing power. Which of the following can be the va...
GATE ECE 2004
The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in figure, is ...
GATE ECE 2002
The differential equation for the current i(t) in the circuit of Fig. is ...
GATE ECE 2002
The dependent current source shown in Figure ...
GATE ECE 2001
The voltage e0 in Fig. is ...
GATE ECE 2000
In the circuit of Fig., the votage v(t) is ...
GATE ECE 2000
In the circuit of Fig., the value of the voltage source E is ...
GATE ECE 1998
The Nodal method of circuit analysis is based on
GATE ECE 1998
The voltage across the terminals a and b in Fig. is ...
GATE ECE 1997
The current "i4" in the circuit of Fig. is equal to ...
GATE ECE 1997
The voltage V in Fig. is equal to ...
GATE ECE 1997
The voltage V in Fig. is always equal to ...
GATE ECE 1997
The voltage V in Fig. is ...
GATE ECE 1995
Two 2H inductance coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being 0.1.The total induct...
GATE ECE 1993
A dc circuit shown in figure has a voltage source V, a current source I and several resistors. A particular resistor R dissipates a power of 4 Watts w...

## Marks 2

GATE ECE 2018
Consider the network shown below with R1 = 1 $$\Omega$$, R2 = 2 $$\Omega$$ and R3 = 3 $$\Omega$$. The network is connected to a constant voltage so...
GATE ECE 2016 Set 2
In the given circuit, each resistor has a value equal to 1 Ω. What is the equivalent resistance across the terminals a and b?...
GATE ECE 2016 Set 2
In the circuit shown in the figure, the magnitude of the current (in amperes) through R2 is___________. ...
GATE ECE 2016 Set 3
In the figure shown, the current i (in ampere) is ______. ...
GATE ECE 2014 Set 3
For the Y-network shown in the figure, the value of R1 (in Ω) in the equivalent ∆ -network is ________. ...
GATE ECE 2014 Set 2
In the magnetically coupled circuit shown in the figure, 56 % of the total flux emanating from one coil links the other coil. The value of the mutual ...
GATE ECE 2014 Set 1
A Y-network has resistances of 10Ω each in two of its arms, while the third arm has a resistance of 11Ω in the equivalent ∆ − network, the lowest valu...
GATE ECE 2013
Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the chosen operating frequency. Their respective resistances are R1 and R2. Whe...
GATE ECE 2013
Three capacitors C1 ,C2 and C3 whose values are 10 µF, 5µF and 2µF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. For the inte...
GATE ECE 2013
Consider the following figure The current IS in Amps in the voltage source, and voltage VS in Volts across the current source respectively, are...
GATE ECE 2013
Consider the following figure The current in the 1Ω resistor in Amps is ...
GATE ECE 2012
If VA - VB = 6 V then VC - VD is ...
GATE ECE 2011
In the circuit shown below, the current I is equal to ...
GATE ECE 2010
In the circuit shown, the power supplied by the voltage source is ...
GATE ECE 2005
Impedance Z as shown in the figure is: ...
GATE ECE 2003
Twelve 1Ω resistances are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is
GATE ECE 2000
For the circuit in Fig. the voltage V0 is ...
GATE ECE 1993
A network contains linear resistors and ideal voltage sources. If values of all the resistors are doubled, then the voltage across each resistor is ...
GATE ECE 1993
The two electrical sub-network N1 and N2 are connected through three resistors as shown in figure. The voltage across 5 Ω resistor and 1 Ω resistor ...
GATE ECE 1992
Of the four networks, N1,N2, N3 and N4 of figure, the networks having identical driving point functions are ...
GATE ECE 1987
A square waveform as shown in the figure is applied across 1 mH ideal inductor.The current through the inductor is a triangular wave of .................

## Marks 5

GATE ECE 1993
An infinite grid is built up by connecting resistors in the manner indicated in figure, where each branch represents one ohm resistor. Calculate the e...
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