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## GATE EE 2013

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE EE

In the circuit shown below, the knee current of the ideal Zener diode is $$10$$ ...
A voltage $$1000\sin \omega t$$ Volts is applied across $$YZ.$$ Assuming ideal d...
In the circuit shown below what is the output voltage $$\left( {{V_{out}}} \righ... In the circuit shown below the op-amps are ideal. Then$${V_{out}}$$in Volts i... In the feedback network shown below, if the feedback factor$$k$$is increased, ... The transfer function$${{{V_2}\left( s \right)} \over {{V_1}\left( s \right)}}$... The signal flow graph for a system is given below. The transfer function $${{Y\l... The open-loop transfer function of a$$dc$$motor is given as$${{\omega \left( ... The Bode plot of a transfer function $$G(s)$$ is shown in the figure below. <im... The state variable formulation of a system is given as <br>$$\left[ {\matrix{ ... The state variable formulation of a system is given as <br>$$\left[ {\matrix{ ... A bulb in staircase has two switches, one switch being at the ground floor and t... The clock frequency applied to the digital circuit shown in the figure below is ... Consider a delta connection of resistors and it's equivalent star connection as ... Three capacitors C<sub>1</sub>, C<sub>2</sub> and C<sub>3</sub> whose values are... A source $$v_s\left(t\right)=V\cos100\mathrm{πt}$$ has an internal impedance of ... In the circuit shown below, if the source voltage $$V_s=100\angle53.12^\circ\;V... Two magnetically uncoupled inductive coils have Q factors q<sub>1</sub> and q<su... The input impedance of the permanent magnet moving coil$$(PMMC)$$voltmeter is ... Three moving iron type voltmeters are connected as shown below. Voltmeter readin... A strain gauge forms one arm of the bridge shown in the figure below and has a n... A single-phase transformer has no-load loss of 64 W, as obtained from an open ci... The following arrangement consists of an ideal transformer and an attenuator whi... Leakage flux in an induction motor is A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50Hz sou... A dielectric slab with 500 mm x 500 mm cross-section is 0.4 m long. The slab is ... The flux density at a point in space is given by$$\overrightarrow B=\;4x{\wideh... The equation $$\left[ {\matrix{ 2 &amp; { - 2} \cr 1 &amp; { - 1} \cr ... A matrix has eigen values$$-1$$and$$-2.$$The corresponding eigenvectors are ... A function$$y = 5{x^2} + 10x\,\,$$is defined over an open interval$$x=(1,2).$...
The curl of the gradient of the scalar field defined by $$\,V = 2{x^2}y + 3{y^2}... Given a vector field$$\overrightarrow F = {y^2}x\widehat a{}_x - yz\widehat a{...
A continuous random variable $$X$$ has a probability density function $$f\left( ... When the Newton-Raphson method is applied to solve the equation$$\,\,f\left( x ...
Square roots of $$-i,$$ where $$i = \sqrt { - 1}$$ are
$$\oint {{{{z^2} - 4} \over {{z^2} + 4}}} dz\,\,$$ evaluated anticlockwise aroun...
Thyristor $$T$$ in the figure below is initially off and is triggered with a sin...
In the figure shown below, the chopper feeds a resistive load from a battery sou...
In the figure shown below, the chopper feeds a resistive load from a battery sou...
The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to p...
The Voltage Source Inverter $$(VSI)$$ shown in the figure below is switched to p...
A single load is supplied by a single voltage source. If the current flowing fro...
The angle $$\delta$$ in the swing equation of a synchronous generator is the
In the following network, the voltage magnitudes at all buses are equal to $$1$$...
For a power system network with $$n$$ nodes, $${Z_{33}}$$ of its bus impedance ...
In the following network, the voltage magnitudes at all buses are equal to $$1$$...
For a periodic signal the $$v\left(t\right)=30\sin100t\;+\;10\cos300t\;+\;6\sin... Assuming zero initial condition, the response y(t) of the system given below to ... Two systems with impulse responses h<sub>1</sub>(t) and h<sub>2</sub>(t) are con... The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the out... The impulse response of a continuous time system is given by h(t) =$$\delta(t...
A band-limited signal with a maximum frequency of 5 kHz is to be sampled. Accord...
Which one of the following statements is NOT TRUE for a continuous time causal a...

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