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 49 English

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

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3
GATE ECE 2015 Set 3
Numerical
+2
-0
In the circuit shown, the current $${\rm I}$$ flowing through the $$50\,\Omega $$ resistor will be zero if the value of capacitor C (in $$\mu F$$) is ________ . GATE ECE 2015 Set 3 Network Theory - Sinusoidal Steady State Response Question 20 English
Your input ____
4
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
$${2 \over R}\sqrt {{L \over C}} $$
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