GATE EE

Network Elements

Electric Circuits

(Past Years Questions)

Marks 1

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The power supplied by the 25 V source in the figure shown below is ________W. ...
GATE EE 2017 Set 1
The equivalent resistance between the terminals A and B is ______ Ω. ...
GATE EE 2017 Set 1
In the portion of a circuit shown, if the heat generated in 5 Ω resistance is 10 calories per second then heat generated...
GATE EE 2016 Set 1
RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. W...
GATE EE 2016 Set 1
The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V and 2V respectively, with the polarity...
GATE EE 2015 Set 1
Two identical coupled inductors are connected in series. The measured inductances for the two possible series connection...
GATE EE 2014 Set 2
C0 is the capacitance of a parallel plate capacitor with air as dielectric (as in figure (a)). If, half of the entire ga...
GATE EE 2014 Set 1
The three circuit elements shown in the figure are part of an electric circuit. The total power absorbed by the three c...
GATE EE 2014 Set 1
Consider a delta connection of resistors and it's equivalent star connection as shown below. If all elements of the delt...
GATE EE 2013
As shown in the figure, a 1 Ω resistance is connected across a source that has a load line v + i = 100. The current thro...
GATE EE 2010
If the electrical circuit of figure (b) is an equivalent of the coupled tank system of figure (a), then ...
GATE EE 2010
How many 200 W/200 V incandescent lamps connected in series would consume the same total power as a single 100 W/200 V i...
GATE EE 2009
The current through the $$2\,\,k\Omega $$ resistance in the circuit shown in Fig. is ...
GATE EE 2009
The Thevenin's equivalent of a circuit operating at $$\omega = 5\,\,rad/s\,\,{V_{oc}} = 3.71\angle - {15.9^ \circ }$$ ...
GATE EE 2008
In the figure given below the value of $$R$$ is ...
GATE EE 2005
Fig. shows the waveform of the current passing through an inductor of resistance $$1\,\Omega $$ and inductance $$2$$ $$H...
GATE EE 2003
A segment of a circuit is shown in figure. $${v_R} = 5\,\,V,\,\,{v_C} = 4\sin 2t.$$ The voltage $${V_L}$$ is given by ...
GATE EE 2003
Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then
GATE EE 2001
Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies
GATE EE 2001
A voltage wafeform $$v\left( t \right) = 12\,{t^2}$$ is applied across a $$1$$ $$H$$ inductor for $$t \ge 0,$$ with ini...
GATE EE 2000
For the circuit shown in Figure, the capacitance measured between terminals $$B$$ and $$Y$$ will be ...
GATE EE 1999
In the circuit shown in Figure, it is desired to have a constant direct current $$i(t)$$ through the ideal inductor $$L....
GATE EE 1998
Energy stored in a capacitor over a cycle, when excited by an $$a.c.$$ source is
GATE EE 1997
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 induc...
GATE EE 1996
Resistances in the circuit of fig. are of R $$\Omega$$ each. The switch is initially open. What happens to the lamp's in...
GATE EE 1992
All the resistances in the circuit of Fig. are of 1 $$\Omega$$ each. The value of current 'I' is ...
GATE EE 1992

Marks 2

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The current i (in Ampere) in the 2 Ω resistor of the given network is _________. ...
GATE EE 2015 Set 2
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 ...
GATE EE 2015 Set 1
The power delivered by the current source, in the figure, is ________ W. ...
GATE EE 2014 Set 3
In the figure, the value of resistor R is $$\left(25+\frac{\mathrm I}2\right)\mathrm\Omega$$, where I is the current in ...
GATE EE 2014 Set 1
An incandescent lamp is marked 40W, 240V. If resistance at room temperature $$\left(26^\circ\mathrm C\right)\;\mathrm{is...
GATE EE 2014 Set 1
Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF respectively, have breakdown voltages of 10V, 5V and 2...
GATE EE 2013
If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of resistance R is ...
GATE EE 2010
The equivalent capacitance of the input loop of the circuit shown in below ...
GATE EE 2009
For the circuit shown, find out the current flowing through the $$2\Omega $$ resistance. Also identify the changes to b...
GATE EE 2009
Assuming ideal elements in the circuit shown below, the voltage $${V_{ab}}$$ will be ...
GATE EE 2008
In the circuit shown in the figure, the value of the current $$i$$ will be given by ...
GATE EE 2008
A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance ...
GATE EE 2007
In Fig., the value of the source voltage is ...
GATE EE 2004
In Fig., $${R_a},\,\,{R_b},$$ and $${R_c}$$ are $$20\,\Omega ,\,\,10\,\Omega $$ and $$10\,\Omega $$ respectively. The re...
GATE EE 2004
In Fig., the value of resistance $$R$$ in $$\Omega $$ is ...
GATE EE 2004
In Fig. the value of $$R$$ is ...
GATE EE 2003
Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega ...
GATE EE 2001
The circuit shown Fig. is equivalent to a load of ...
GATE EE 2000
When a periodic triangular voltage peak amplitude $$1$$ $$V$$ and frequency $$0.5$$ $$Hz$$ is applied to a parallel comb...
GATE EE 1999
When a resistor $$R$$ is connected to a current source, it consumes a power of $$18$$ $$W.$$ when the same $$R$$ is conn...
GATE EE 1999
Currents $${{\rm I}_1},\,{{\rm I}_2}$$ and $${{\rm I}_3}$$ meet at a junction (node) in a circuit. All currents are mark...
GATE EE 1999
The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is ...
GATE EE 1998
A $$10$$ $$V$$ battery with an internal resistance of $$1\,\Omega $$ is connected across a nonlinear load whose $$V-1$$ ...
GATE EE 1997
The value of $$E$$ and $${\rm I}$$ for the circuit shown in Figure, are ..... $$V$$ and ...... $$A.$$ ...
GATE EE 1997
The voltage and current waveforms for an element are shown in Figure. The circuit element is .......... and its value is...
GATE EE 1997
The equivalent inductance seen at terminals $$A-B$$ in Fig. is .................... $$H.$$ ...
GATE EE 1992

Marks 5

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In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from term...
GATE EE 2002
Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm ...
GATE EE 1999

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