Questions 271–280 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 28 of 72

Question 11

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Consider the two-dimensional vector field

, where

and

denote the unit vectors along the

-axis and the

-axis, respectively. A contour

in the

-

plane, as shown in the figure, is composed of two horizontal lines connected at the two ends by semicircular arcs of unit radius. The contour is traversed in the counter-clockwise sense. The value of the closed path integral

is ________.
Diagram for Electronics and Communication Engineering question 11

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Question 12

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Consider a system of linear equations

, where

This system of equations admits ________.
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Question 13

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ECMCQ1 markNeeds review
The current

in the circuit shown is ________.
Diagram for Electronics and Communication Engineering question 13

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Question 14

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Consider the circuit shown in the figure. The current

flowing through the

resistor is ________.
Diagram for Electronics and Communication Engineering question 14

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Question 15

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The Fourier transform

of the signal

is ________.
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Question 16

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Consider a long rectangular bar of direct bandgap

-type semiconductor. The equilibrium hole density is

and the intrinsic carrier concentration is

. Electron and hole diffusion lengths are

and

, respectively.
The left side of the bar (

) is uniformly illuminated with a laser having photon energy greater than the bandgap of the semiconductor. Excess electron-hole pairs are generated ONLY at

because of the laser. The steady state electron density at

is

due to laser illumination. Under these conditions and ignoring electric field, the closest approximation (among the given options) of the steady state electron density at

is _________.
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Question 17

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In a non-degenerate bulk semiconductor with electron density

, the value of

, where

and

denote the bottom of the conduction band energy and electron Fermi level energy, respectively. Assume thermal voltage as

and the intrinsic carrier concentration is

. For

, the closest approximation of the value of

, among the given options, is _________.
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Question 18

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Consider the CMOS circuit shown in the figure (substrates are connected to their respective sources). The gate width (

) to gate length (

) ratios (

) of the transistors are as shown. Both the transistors have the same gate oxide capacitance per unit area. For the

MOSFET, the threshold voltage is

and the mobility of holes is

. For the

MOSFET, the threshold voltage is

and the mobility of electrons is

. The steady state output voltage

is _________.
Diagram for Electronics and Communication Engineering question 18

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Question 19

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Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for

,

,

, and

are ____________.
Diagram for Electronics and Communication Engineering question 19

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Question 20

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The ideal long channel

MOSFET and

MOSFET devices shown in the circuits have threshold voltages of 1 V and

V, respectively. The MOSFET substrates are connected to their respective sources. Ignore leakage currents and assume that the capacitors are initially discharged. For the applied voltages as shown, the steady state voltages are ________________.
Diagram for Electronics and Communication Engineering question 20

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