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BARC Full Syllabus Test 26

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Question 1

The open-loop transfer function of a unity feedback control system is

The closed-loop transfer function will have poles at.

Question 2

In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for t > 0?

Question 3

The built-in potential of an abrupt p-n junction is 0.75 V. If its junction capacitance (C_J) at a reverse bias (V_R) of 1.25 V is 5 pF, the value of C_J (in pF) when V_R = 7.25 V is________.

Question 4

In network analysis circuit shown, find the source voltage in terms of laplace transformation?

Question 5

An EM wave from air enters a medium. The electric fields are

in air and

in medium, where the wave number k and frequency

refer to their values in air. The medium is non-magnetic. If

and

refer to relative permittivities of air and medium respectively, which of the following options is correct?

Question 6

A Silicon sample A is doped with 10¹⁸ atoms/cm³ pf Boron. Another sample B of identical dimensions is doped with 10¹⁸ atoms/cm³ of phosphorus. The ratio of electron to hole mobility is 3. The ratio of conductivity of the sample A to B is

Question 7

An antenna has maximum radiation intensity of 1.5 W/sr. If the directivity of the antenna is D = 20.94 then radiated power of antenna will be

Question 8

The circuit of a class B push pull amplifier is shown below. It peak output voltage V₀ = 16V, then the power drawn from the dc source would be?

Question 9

For the probability density function shown below find

Question 10

A carrier signal c(t) = 2 cos(2π×10⁶t)V and a message signal m(t) = 2cos(2000 πt)V are applied to a phase modulator whose phase sensitivity is K_p = 1.5 rad/V. The modulation index of the resultant phase modulated signal will be

Question 11

Find the inverse Z- transform of X(z)

Question 12

A vector field D = $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image105.png$ exists inside a cylindrical region enclosed by the surfaces r = 1, z = 0 and z = 5. Let S be the surface bounding this cylindrical region. The surface integral of this field on S $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image106.png$ is _____.

Question 13

An n–channel EMOSFET operating in saturation region has threshold voltage V_th = 1 V, gate oxide capacitance, C_ox = 4 × 10^–8 F/cm² ,mobility of electrons