GATE ECE year:2018 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

The contour C given below is on the complex plane

, where

The value of the integral

is ______.

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Let

and

. Assume that

and

are independent variables. At

, the value (correct to two decimal places) of

is ________ .

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Consider the network shown below with

and

. The network is connected to a constant voltage source of 11 V.

The magnitude of the current (in amperes, accurate to two decimal places) through the source is ______.

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A band limited low-pass signal

of bandwidth 5 kHz is sampled at a sampling rate

. The signal

is reconstructed using the reconstruction filter

whose magnitude response is shown below:

The minimum sampling rate

(in kHz) for perfect reconstruction of

is ______.

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Let

be 8-point DFT of a sequence

, where

. The value (correct to two decimal places) of

is ______.

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GATE ECE year:2018 PYQs