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Network Theory
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1
GATE ECE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A network consisting of a finite number of linear resistor (R), inductor (L), and capacitor (C) elements, connected all in series or all in parallel, is excited with a source of the form
$$\sum\limits_{k = 1}^3 {{a_k}\,\,\cos \,\left( {k{\omega _0}t} \right),\,\,\,} $$ where $${a_k} \ne 0,\,\,{\omega _0} \ne 0$$.

The source has nonzero impedance. Which one of the following is a possible form of the output measured across a resistor in the network?

A
$$\sum\limits_{k = 1}^3 {{b_k}{\mkern 1mu} {\mkern 1mu} \cos \left( {k{\omega _0}t + {\phi _k}} \right),{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} } $$ where $${b_k} \ne {a_k},\,\,\forall k$$
B
$$\sum\limits_{k = 1}^3 {{b_k}\,\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)\,\,\,} $$ , where $${b_k} \ne 0,\,\,\forall k$$
C
$$\sum\limits_{k = 1}^3 {{a_k}\,\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)\,\,\,} $$
D
$$\sum\limits_{k = 1}^3 {{a_k}\,\,\cos \left( {k{\omega _0}t + {\phi _k}} \right)\,\,\,} $$
2
GATE ECE 2016 Set 1
Numerical
+2
-0

An AC voltage source V = 10 sin(t) volts is applied to the following network. Assume that R1 = 3 kΩ, R2 = 6 kΩ and R3 = 9 kΩ and that the diode is ideal.

GATE ECE 2016 Set 1 Network Theory - Sinusoidal Steady State Response Question 51 English

RMS current Irms (in mA) through the diode is _________.

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3
GATE ECE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The damping ratio of a series $$RLC$$ circuit can be expressed as
A
$${{{R^2}C} \over {2L}}$$
B
$${{2L} \over {{R^2}C}}$$
C
$${R \over 2}\sqrt {{C \over L}} $$
D
$${2 \over R}\sqrt {{L \over C}} $$
4
GATE ECE 2015 Set 1
Numerical
+2
-0
In the given circuit, the maximum power (in Watts) that can be transferred to the load RL is ___________________. GATE ECE 2015 Set 1 Network Theory - Sinusoidal Steady State Response Question 52 English
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Questions Asked from Marks 2
GATE ECE 2025 (1) GATE ECE 2022 (2) GATE ECE 2018 (1) GATE ECE 2017 Set 1 (2) GATE ECE 2016 Set 1 (2) GATE ECE 2015 Set 1 (2) GATE ECE 2015 Set 3 (1) GATE ECE 2014 Set 4 (1) GATE ECE 2014 Set 3 (1) GATE ECE 2014 Set 2 (1) GATE ECE 2014 Set 1 (3) GATE ECE 2010 (1) GATE ECE 2009 (1) GATE ECE 2007 (2) GATE ECE 2005 (1) GATE ECE 2004 (2) GATE ECE 2003 (2) GATE ECE 2002 (1) GATE ECE 2001 (1) GATE ECE 2000 (1) GATE ECE 1993 (1) GATE ECE 1992 (1) GATE ECE 1991 (1) GATE ECE 1990 (2) GATE ECE 1989 (1) GATE ECE 1987 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics