GATE EE 2013

## GATE EE

In the circuit shown below, the knee current of the ideal Zener diode is $$10$$ $$mA.$$ To maintain $$5 V$$ across $${R_

View Question A voltage $$1000\sin \omega t$$ Volts is applied across $$YZ.$$ Assuming ideal diodes, the voltage measured across $$WX$

View Question In the circuit shown below what is the output voltage $$\left( {{V_{out}}} \right)$$ in Volts If a silicon transfer $$Q$

View Question In the circuit shown below the op-amps are ideal. Then $${V_{out}}$$ in Volts is

View Question In the feedback network shown below, if the feedback factor $$k$$ is increased, then the

View Question The transfer function $${{{V_2}\left( s \right)} \over {{V_1}\left( s \right)}}$$ of the circuit shown below is

View Question The signal flow graph for a system is given below. The transfer function $${{Y\left( s \right)} \over {U\left( s \right)

View Question The open-loop transfer function of a $$dc$$ motor is given as $${{\omega \left( s \right)} \over {{V_a}\left( s \right)}

View Question The Bode plot of a transfer function $$G(s)$$ is shown in the figure below.
The gain is $$\left( {20\log \left| {G\le

View Question The state variable formulation of a system is given as
$$\left[ {\matrix{
{\mathop {{x_1}}\limits^ \bullet } \cr

View Question The state variable formulation of a system is given as
$$\left[ {\matrix{
{\mathop {{x_1}}\limits^ \bullet } \cr

View Question A bulb in staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bul

View Question The clock frequency applied to the digital circuit shown in the figure below is $$1$$ $$kHz.$$ If the initial state of t

View Question Consider a delta connection of resistors and it's equivalent star connection as
shown below. If all elements of the delt

View Question Three capacitors C1, C2 and C3 whose values are 10μF, 5μF and 2μF
respectively, have breakdown voltages of 10V, 5V and 2

View Question A source $$v_s\left(t\right)=V\cos100\mathrm{πt}$$ has an internal impedance of (4 + j3) Ω.If a purely
resistive load co

View Question In the circuit shown below, if the source voltage $$V_s=100\angle53.12^\circ\;V$$ then the Thevenin’s equivalent
voltage

View Question Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the
chosen operating frequency. Their respective

View Question The input impedance of the permanent magnet moving coil $$(PMMC)$$ voltmeter is infinite. Assuming that the diode shown

View Question Three moving iron type voltmeters are connected as shown below. Voltmeter readings are $$V,$$ $${V_1}$$ and $${V_2}$$ ,

View Question A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as $$

View Question A single-phase transformer has no-load loss of 64 W, as obtained from an open circuit
test. When a short-circuit test is

View Question The following arrangement consists of an ideal transformer and an attenuator
which attenuates by a factor of 0.8. An ac

View Question Leakage flux in an induction motor is

View Question A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz
source, is rotating at 1440 rpm. The electr

View Question A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is
subjected to a uniform electric field of

View Question The flux density at a point in space is given by
$$\overrightarrow B=\;4x{\widehat a}_x\;+\;2ky{\widehat a}_y\;+\;8{\wid

View Question The equation $$\left[ {\matrix{
2 & { - 2} \cr
1 & { - 1} \cr
} } \right]\left[ {\matrix{
{{x_1}}

View Question A matrix has eigen values $$-1$$ and $$-2.$$ The corresponding eigenvectors are $$\left[ {\matrix{
1 \cr
{ - 1}

View Question A function $$y = 5{x^2} + 10x\,\,$$ is defined over an open interval $$x=(1,2).$$ At least at one point in this interval

View Question The curl of the gradient of the scalar field defined by $$\,V = 2{x^2}y + 3{y^2}z + 4{z^2}x$$ is

View Question Given a vector field $$\overrightarrow F = {y^2}x\widehat a{}_x - yz\widehat a{}_y - {x^2}\widehat a{}_z,$$ the line i

View Question A continuous random variable $$X$$ has a probability density function $$f\left( x \right) = {e^{ - x}},0 < x < \in

View Question When the Newton-Raphson method is applied to solve the equation $$\,\,f\left( x \right) = {x^3} + 2x - 1 = 0,\,\,$$ the

View Question Square roots of $$-i,$$ where $$i = \sqrt { - 1} $$ are

View Question $$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$ evaluated anticlockwise around the circular $$\left| {z - i} \right|

View Question Thyristor $$T$$ in the figure below is initially off and is triggered with a single pulse of width $$10\mu s.$$ It is gi

View Question In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$2

View Question In the figure shown below, the chopper feeds a resistive load from a battery source. $$MOSFET$$ $$Q$$ is switched at $$2

View Question The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to provide a $$50$$ $$Hz,$$ square-wave $$ac

View Question The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to provide a $$50$$ $$Hz,$$ square-wave $$ac

View Question A single load is supplied by a single voltage source. If the current flowing from the load to the source is $$10\angle

View Question The angle $$\delta $$ in the swing equation of a synchronous generator is the

View Question In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very

View Question For a power system network with $$n$$ nodes, $${Z_{33}}$$ of its bus impedance matrix is $$j0.5$$ per unit. The voltage

View Question In the following network, the voltage magnitudes at all buses are equal to $$1$$ p.u., the voltage phase angles are very

View Question For a periodic signal the $$v\left(t\right)=30\sin100t\;+\;10\cos300t\;+\;6\sin\left(500t\;+\;\frac{\mathrm\pi}4\right)

View Question Assuming zero initial condition, the response y(t) of the system given below to a
unit step input u(t) is

View Question Two systems with impulse responses h1(t) and h2(t) are connected in cascade.
Then the overall impulse response of the ca

View Question The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output
is

View Question The impulse response of a continuous time system is given by
h(t) = $$\delta$$(t − 1) + $$\delta$$(t − 3). The value of

View Question A band-limited signal with a maximum frequency of 5 kHz is to be sampled.
According to the sampling theorem, the samplin

View Question Which one of the following statements is NOT TRUE for a continuous time causal
and stable LTI system?

View Question