Electronics and Communication Engineering
GATE ECE format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 191–200 of 239. Imported answers require independent review unless marked reviewed.
Question 6
Open questionECNAT1 markNeeds review
A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10 Ω, 5 Ω, 2 Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is __________.
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Open questionECNAT1 markNeeds review
In the circuit shown, the positive angular frequency
(in radians per second) at which the magnitude of the phase difference between the voltages
and
equals
radians, is ______.
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Open questionECNAT1 markNeeds review
Consider an
-channel MOSFET having width
, length
, electron mobility in the channel
and oxide capacitance per unit area
. If gate-to-source voltage
, drain-to-source voltage
,
, threshold voltage
and
, then transconductance
(in mA/V) is _____.Log in to check the answer
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Open questionECNAT1 markNeeds review
The output
of the diode circuit shown in the figure is connected to an averaging DC voltmeter. The reading on the DC voltmeter in Volts, neglecting the voltage drop across the diode, is _____. 
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Open questionECNAT1 markNeeds review
Consider the circuit shown in the figure. Assume base-to-emitter voltage
and common-base current gain
of the transistor is unity. 
The value of the collector-to-emitter voltage
(in volt) is _____.Log in to check the answer
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Open questionECNAT1 markNeeds review
Consider the D-Latch shown in the figure, which is transparent when its clock input CK is high and has zero propagation delay. In the figure, the clock signal CLK1 has a 50% duty cycle and CLK2 is a one-fifth period delayed version of CLK1. The duty cycle at the output of the latch in percentage is

.
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Open questionECNAT1 markNeeds review
The open loop transfer function
where
is an integer, is connected in unity feedback configuration as shown in the figure. 
Given that the steady state error is zero for unit step input and is 6 for unit ramp input, the value of the parameter
is __________.Log in to check the answer
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Open questionECNAT1 markNeeds review
For the system shown in the figure,
________. 
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Open questionECNAT1 markNeeds review
Consider the state space realization
where
denotes the unit step function. The value of
is ________.Log in to check the answer
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Open questionECNAT1 markNeeds review
Let
be independent random variables.
has mean 0 and variance 1, while
has mean 1 and variance 4. The mutual information
between
and
in bits is ________.Log in to check the answer
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