Network Elements · Electric Circuits · GATE EE
Marks 1
1
A circuit with ideal elements is shown.
Which one of the following options correctly identifies all the linear elements in the circuit?
GATE EE 2026
2
$$ \text { Refer to the four circuits shown. } $$
Which one of the following options for $\mathrm{k}_1, \mathrm{k}_2, \mathrm{k}_3$, and $\mathrm{k}_4$ makes all of them realizable?
GATE EE 2026
3
$$ \text { The I-V characteristics of the elements between the nodes } X \text { and } Y \text { is best depicted } $$
GATE EE 2025
4
A nullator is defined as a circuit element where the voltage across the device and the current through the device are both zero. A series combination of a nullator and a resistor of value, $R$, will behave as a
GATE EE 2025
5
The number of junctions in the circuit is
GATE EE 2024
6
In the given circuit, for voltage Vy to be zero, the value of β should be ______. (Round off to 2 decimal places).
GATE EE 2021
7
Two single-core power cables have total conductor resistances of $0.7 \Omega$ and $0.5 \Omega$ respectively and their insulation resistances (between core and sheath) are $600 \mathrm{M} \Omega$ and $900 \mathrm{M} \Omega$ respectively. When the two cables are joined in series, the ratio of insulation resistance to conductor resistance is $\_\_\_\_$ $\times 10^6$
GATE EE 2021
8
In the given circuit, the value of capacitor $C$ that makes current $I=0$ is $\_\_\_\_$ $\mu \mathrm{F}$.
GATE EE 2021
9
Currents through ammeters A2 and A3 in the figure are 1∠10° and 1∠70°, respectively. The reading of the ammeter A1 (rounded off to 3 decimal places) is _____ A.
GATE EE 2020
10
The current I flowing in the circuit shown below in amperes (round off to one decimal place) is ________.
GATE EE 2019
11
The power supplied by the 25 V source in the
figure shown below is ________W.
GATE EE 2017 Set 1
12
The equivalent resistance between the terminals A and B is ______ Ω.
GATE EE 2017 Set 1
13
In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second
then heat generated by the 4 Ω resistance, the calories per second, is ______.
GATE EE 2016 Set 1
14
RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in
the direction shown. Which one of the following statements is TRUE?
GATE EE 2016 Set 1
15
The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V and
2V respectively, with the polarity as marked. What is the power (in Watt) delivered by the
5V voltage source?
GATE EE 2015 Set 1
16
Two identical coupled inductors are connected in series. The measured inductances for the
two possible series connections are 380 μH and 240 μH. Their mutual inductance in μH is ________.
GATE EE 2014 Set 2
17
C0 is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If,
half of the entire gap as shown in figure (b) is filled with a dielectric of permittivity $$\in_r$$ , the
expression for the modified capacitance is
GATE EE 2014 Set 1
18
The three circuit elements shown in the figure are part of an electric circuit. The total power
absorbed by the three circuit elements in watts is ________________.
GATE EE 2014 Set 1
19
Consider a delta connection of resistors and it's equivalent star connection as
shown below. If all elements of the delta connection are scaled by a factor k,
k>0, the elements of the corresponding star equivalent will be scaled by a factor
of
GATE EE 2013
20
If the electrical circuit of figure (b) is an equivalent of the coupled tank system of
figure (a), then
GATE EE 2010
21
As shown in the figure, a 1 Ω resistance is connected across a source that
has a load line v + i = 100. The current through the resistance is
GATE EE 2010
22
The current through the $$2\,\,k\Omega $$ resistance in the circuit shown in Fig. is
GATE EE 2009
23
How many 200 W/200 V incandescent lamps connected in series would consume the same total power as a single 100 W/200 V incandescent lamp?
GATE EE 2009
24
The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$ and $${Z_0} = 2.38 - j0.667\Omega .$$ At this frequency, the minimal realization of the Thevenin's independence will have a
GATE EE 2008
25
In the figure given below the value of $$R$$ is
GATE EE 2005
26
A segment of a circuit is shown in figure. $${v_R} = 5\,\,V,\,\,{v_C} = 4\sin 2t.$$ The voltage $${V_L}$$ is given by
GATE EE 2003
27
Fig. shows the waveform of the current passing through an inductor of resistance $$1\,\Omega $$ and inductance $$2$$ $$H.$$ The energy absorbed by the inductor in the first four seconds is
GATE EE 2003
28
Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies
GATE EE 2001
29
Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then
GATE EE 2001
30
A voltage wafeform $$v\left( t \right) = 12\,{t^2}$$ is applied across a $$1$$ $$H$$ inductor for $$t \ge 0,$$ with initial current through it being zero. The current through the inductor for $$t \ge 0$$ is given by:
GATE EE 2000
31
For the circuit shown in Figure, the capacitance measured between terminals $$B$$ and $$Y$$ will be
GATE EE 1999
32
In the circuit shown in Figure, it is desired to have a constant direct current $$i(t)$$ through the ideal inductor $$L.$$ The nature of the voltage source $$v(t)$$ must be
GATE EE 1998
33
Energy stored in a capacitor over a cycle, when excited by an $$a.c.$$ source is
GATE EE 1997
34
The v - i characteristic as seen from the terminal pair (A,B) of the network of Fig.(1) is shown in Fig.(2). If an inductance of value 6 mH is connected across the terminal - pair (A,B), the time constant of the system will be
GATE EE 1996
35
Resistances in the circuit of fig. are of R $$\Omega$$ each. The switch is initially open. What happens to the lamp's intensity when the switch is closed?
GATE EE 1992
36
All the resistances in the circuit of Fig. are of 1 $$\Omega$$ each. The value of current 'I' is
GATE EE 1992
Marks 2
1
Consider two coupled circuits having self inductances $L_1$ and $L_2$ that carry non-zero currents $I_1$ and $I_2$ respectively. The mutual inductance between the circuit is $M$ with unity coupling coefficient. The stored magnetic energy of the coupled circuit is minimum at which of the following value(s) of $I_1 / I_2$ ?
GATE EE 2025
2
In the circuit shown below, the magnitude of the voltage V1 in volts, across the 8 k$$\Omega$$ resistor is ________. (round off to nearest integer).
GATE EE 2022
3
An air-core radio-frequency transformer as shown has a primary winding and a secondary winding. The mutual inductance $M$ between the windings of the transformer is $\_\_\_\_$ $\mu \mathrm{H}$. (Round off to 2 decimal places)
GATE EE 2021
4
In the given circuit, the parameter k is
positive, and the power dissipated in the
2 Ω resistor is 12.5 W. The value of k is
________.
GATE EE 2015 Set 1
5
The current i (in Ampere) in the 2 Ω resistor of the given network is _________.
GATE EE 2015 Set 2
6
The power delivered by the current source, in the figure, is ________ W.
GATE EE 2014 Set 3
7
An incandescent lamp is marked 40W, 240V. If resistance at room temperature
$$\left(26^\circ\mathrm C\right)\;\mathrm{is}\;120\mathrm\Omega$$ and temperature coefficient of resistance is $$4.5\;\times\;10^{-3}/^\circ C$$ , then its ‘ON’ state
filament temperature in oC is approximately ________.
GATE EE 2014 Set 1
8
In the figure, the value of resistor R is $$\left(25+\frac{\mathrm I}2\right)\mathrm\Omega$$, where I is the current in amperes.
The current I is _____.
GATE EE 2014 Set 1
9
Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF
respectively, have breakdown voltages of 10V, 5V and 2V respectively. For the
interconnection shown, the maximum safe voltage in Volts that can be applied
across the combination and the corresponding total charge in μC stored in the
effective capacitance across the terminals are respectively
GATE EE 2013
10
If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of
resistance R is
GATE EE 2010
11
For the circuit shown, find out the current flowing through the $$2\Omega $$ resistance. Also identify the changes to be made to double the current through the $$2\Omega $$ resistance.
GATE EE 2009
12
The equivalent capacitance of the input loop of the circuit shown in below
GATE EE 2009
13
In the circuit shown in the figure, the value of the current $$i$$ will be given by
GATE EE 2008
14
Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be
GATE EE 2008
15
A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance characterized by the relation $${V_{NL}} = {{\rm I}^2}{}_{NL}$$. The power dissipated in the non-linear resistance is
GATE EE 2007
16
In Fig., the value of resistance $$R$$ in $$\Omega $$ is
GATE EE 2004
17
In Fig., $${R_a},\,\,{R_b},$$ and $${R_c}$$ are $$20\,\Omega ,\,\,10\,\Omega $$ and $$10\,\Omega $$ respectively. The resistances $${R_1},\,\,{R_2}$$ and $${R_3}$$ in $$\Omega $$ of an equivalent star - connection are
GATE EE 2004
18
In Fig., the value of the source voltage is
GATE EE 2004
19
In Fig. the value of $$R$$ is
GATE EE 2003
20
Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega ,$$ between terminals $$B$$ and $$C$$ with $$A$$ open is $$11\,\Omega ,$$ and between terminals $$C$$ and $$A$$ with $$B$$ open is $$9\,\Omega $$ . The values of $${R_A},\,\,{R_B},\,\,{R_C}$$ are:
GATE EE 2001
21
The circuit shown Fig. is equivalent to a load of
GATE EE 2000
22
Currents $${{\rm I}_1},\,{{\rm I}_2}$$ and $${{\rm I}_3}$$ meet at a junction (node) in a circuit. All currents are marked as entering the node. If $${{\rm I}_1} = - 6\sin \left( {\omega t} \right)$$ $$mA$$ and $${{\rm I}_2} = 8\cos \,\left( {\omega t} \right)\,mA,$$ then $${{\rm I}_3}$$ will be
GATE EE 1999
23
When a resistor $$R$$ is connected to a current source, it consumes a power of $$18$$ $$W.$$ when the same $$R$$ is connected to a voltage source having the same magnitude as the current source, the power absorbed by $$R$$ is $$4.5$$ $$W.$$ The magnitude of the current source and the value of $$R$$ are
GATE EE 1999
24
When a periodic triangular voltage peak amplitude $$1$$ $$V$$ and frequency $$0.5$$ $$Hz$$ is applied to a parallel combination of $$1\,\Omega $$ resistance and $$1$$ $$F$$ capacitance, the current through the voltage source has wave-form
GATE EE 1999
25
The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is
GATE EE 1998
26
A $$10$$ $$V$$ battery with an internal resistance of $$1\,\Omega $$ is connected across a nonlinear load whose $$V-1$$ characteristic is given by $$7{\rm I} = {V^2} + 2V.$$ The current delivered by the battery is ............... $$A.$$
GATE EE 1997
27
The voltage and current waveforms for an element are shown in Figure. The circuit element is .......... and its value is .........
GATE EE 1997
28
The value of $$E$$ and $${\rm I}$$ for the circuit shown in Figure, are ..... $$V$$ and ...... $$A.$$
GATE EE 1997
29
The equivalent inductance seen at terminals $$A-B$$ in Fig. is .................... $$H.$$
GATE EE 1992
Marks 5
1
In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from terminal $$a$$ to terminal $$b,$$ as shown in the figure. Calculate the voltage between terminals $$a$$ and $$b.$$ [Hint: You may exploit the symmetry of the circuit].
GATE EE 2002
2
Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm I}_2},$$ and $${{\rm I}_3}$$. Evaluate the power developed in the $$10$$ $$V$$ voltage source.
GATE EE 1999