1
GATE ECE 2014 Set 4
+2
-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 A
$${1 \over {\sqrt 3 \,R\,C}}$$
B
$${2 \over {\sqrt 3 \,R\,C}}$$
C
$${1 \over {R\,C}}$$
D
$${2 \over {R\,C}}$$
2
GATE ECE 2014 Set 3
+2
-0.6
Consider the building block called 'Network N' shown in the figure.
Let $$C = 100\,\mu F\,\,$$ and $$R = 10\,k\Omega$$. Two such blocks are connected in cascade, as shown in the figure. The transfer function $${{{V_3}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the cascaded network is

A
$${s \over {1 + s}}$$
B
$${{{s^2}} \over {1 + 3s + {s^2}}}$$
C
$${\left( {{s \over {1 + s}}} \right)^2}$$
D
$${{s \over {2 + s}}}$$
3
GATE ECE 2014 Set 2
Numerical
+2
-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 ________.
4
GATE ECE 2014 Set 1
+2
-0.6
A 230 V rms source supplies power to two loads connected in parallel. The first load draws 10 kW at 0.8 leading power factor and the second one draws 10 kVA at 0.8 lagging power factor. The complex power delivered by the source is
A
(18 + j 1.5) kVA
B
(18 - j 1.5) kVA
C
(20 + j 1.5) kVA
D
(20 - j 1.5) kVA
GATE ECE Subjects
Network Theory
Control Systems
Electronic Devices and VLSI
Analog Circuits
Digital Circuits
Microprocessors
Signals and Systems
Communications
Electromagnetics
General Aptitude
Engineering Mathematics
EXAM MAP
Joint Entrance Examination