GATE ECE 2015 Set 1 | Sinusoidal Steady State Response Question 18 | Network Theory

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GATE ECE 2015 Set 1

MCQ (Single Correct Answer)

-0.6

The damping ratio of a series $$RLC$$ circuit can be expressed as

$${{{R^2}C} \over {2L}}$$

$${{2L} \over {{R^2}C}}$$

$${R \over 2}\sqrt {{C \over L}} $$

$${2 \over R}\sqrt {{L \over C}} $$

GATE ECE 2014 Set 4

MCQ (Single Correct Answer)

-0.6

The steady state output of the circuit shown in the figure is given by $$$y\left( t \right) = {\rm A}\left( \omega \right)\sin \left( {\omega t + \phi \left( \omega \right)} \right)$$$

If the amplitude $$\left| {{\rm A}\left( \omega \right)} \right| = 0.25$$, then the frequency $$\omega $$ is

GATE ECE 2014 Set 4 Network Theory - Sinusoidal Steady State Response Question 22 English

$${1 \over {\sqrt 3 \,R\,C}}$$

$${2 \over {\sqrt 3 \,R\,C}}$$

$${1 \over {R\,C}}$$

$${2 \over {R\,C}}$$

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

-0.6

Consider the building block called 'Network N' shown in the figure.
Let $$C = 100\,\mu F\,\,$$ and $$R = 10\,k\Omega $$. GATE ECE 2014 Set 3 Network Theory - Sinusoidal Steady State Response Question 23 English 1

GATE ECE 2014 Set 3 Network Theory - Sinusoidal Steady State Response Question 23 English 1

Two such blocks are connected in cascade, as shown in the figure.

GATE ECE 2014 Set 3 Network Theory - Sinusoidal Steady State Response Question 23 English 2

The transfer function $${{{V_3}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the cascaded network is

$${s \over {1 + s}}$$

$${{{s^2}} \over {1 + 3s + {s^2}}}$$

$${\left( {{s \over {1 + s}}} \right)^2}$$

$${{s \over {2 + s}}}$$

GATE ECE 2014 Set 2

Numerical

-0

A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are 1 H, 1 F and 1Ω , respectively, the operating angular frequency (in rad/s) is ________.

Your input ____