# Network Elements · Electric Circuits · GATE EE

Start Practice## Marks 1

GATE EE 2024

The number of junctions in the circuit is...

GATE EE 2021

In the given circuit, for voltage Vy to be zero, the value of β should be ______. (Round off to 2 decimal places).
...

GATE EE 2020

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) i...

GATE EE 2019

The current I flowing in the circuit shown below in amperes (round off to one decimal place) is ________.
...

GATE EE 2017 Set 1

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 2016 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 by the 4 Ω resistance, the ca...

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. Which one of the following stat...

GATE EE 2015 Set 1

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 (...

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 circuit elements in watts is ___...

GATE EE 2014 Set 1

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 fi...

GATE EE 2014 Set 2

Two identical coupled inductors are connected in series. The measured inductances for the
two possible series connections are 380 μH and 240 μH. Their...

GATE EE 2013

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 f...

GATE EE 2010

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

If the electrical circuit of figure (b) is an equivalent of the coupled tank system of
figure (a), then
...

GATE EE 2009

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

The current through the $$2\,\,k\Omega $$ resistance in the circuit shown in Fig. is
...

GATE EE 2008

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\Om...

GATE EE 2005

In the figure given below the value of $$R$$ is
...

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

Fig. shows the waveform of the current passing through an inductor of resistance $$1\,\Omega $$ and inductance $$2$$ $$H.$$ The energy absorbed by the...

GATE EE 2001

Given two coupled inductors $${L_1}$$ and $${L_2}$$, their mutual inductance $$M$$ satisfies

GATE EE 2001

Two incandescent light bulbs of $$40$$ $$W$$ and $$60$$ $$W$$ rating are connected in series across the mains. Then

GATE EE 2000

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 ...

GATE EE 1999

For the circuit shown in Figure, the capacitance measured between terminals $$B$$ and $$Y$$ will be
...

GATE EE 1998

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 s...

GATE EE 1997

Energy stored in a capacitor over a cycle, when excited by an $$a.c.$$ source is

GATE EE 1996

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 connect...

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

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 clo...

## Marks 2

GATE EE 2022

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 2015 Set 1

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 2

The current i (in Ampere) in the 2 Ω resistor of the given network is _________.
...

GATE EE 2014 Set 1

An incandescent lamp is marked 40W, 240V. If resistance at room temperature
$$\left(26^\circ\mathrm C\right)\;\mathrm{is}\;120\mathrm\Omega$$ and temp...

GATE EE 2014 Set 1

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 3

The power delivered by the current source, in the figure, is ________ W.
...

GATE EE 2013

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
interc...

GATE EE 2010

If the 12 Ω resistor draws a current of 1A as shown in the figure, the value of
resistance R is
...

GATE EE 2009

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 be made to double the current t...

GATE EE 2008

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 2007

A $$3$$ $$V$$ $$dc$$ supply with an internal resistance of $$2$$ $$\Omega $$ supplies a passive non-linear resistance characterized by the relation ...

GATE EE 2004

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 resistances $${R_1},\,\,{R_2}$$ ...

GATE EE 2004

In Fig., the value of resistance $$R$$ in $$\Omega $$ is
...

GATE EE 2003

In Fig. the value of $$R$$ is
...

GATE EE 2001

Consider the star network shown in Fig. The resistance between terminals $$A$$ and $$B$$ with $$C$$ open is $$6\,\Omega ,$$ between terminals $$B$$ a...

GATE EE 2000

The circuit shown Fig. is equivalent to a load of
...

GATE EE 1999

When a periodic triangular voltage peak amplitude $$1$$ $$V$$ and frequency $$0.5$$ $$Hz$$ is applied to a parallel combination of $$1\,\Omega $$ resi...

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 connected to a voltage source havi...

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 marked as entering the node. If $$...

GATE EE 1998

The effective inductance of the circuit across the terminals $$A,B$$ in the Figure shown below is
...

GATE EE 1997

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...

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 1992

The equivalent inductance seen at terminals $$A-B$$ in Fig. is .................... $$H.$$
...

## Marks 5

GATE EE 2002

In the resistor network shown in Fig. all resistor values are $$1\,\,\Omega .$$ $$A$$ current of $$1A$$ passes from terminal $$a$$ to terminal $$b,$$ ...

GATE EE 1999

Solve the circuit shown in Fig. using the mesh method of analysis and determine the mesh currents $${{\rm I}_1},\,{{\rm I}_2},$$ and $${{\rm I}_3}$$. ...