GATE 2019: EC Revision Test-3 for ESE & GATE EC Exams

Question 1

In a voltage-voltage feedback as shown below, which one of the following statements is TRUE if the gain k is increased?

Question 2

In the circuit shown below, Norton equivalent impedance between point R -P is

Question 3

An n-type silicon sample has a resistivity of 7Ω at T= 500K. The mobility is

= 1320

/V-s. the donor impurity concentration is

Question 4

A system has 13 poles and 3 zeros, Its high frequency asymptote in the magnitude plot has a slope of

Question 5

A husband and wife appear in an interview for two vacancies in the same post. The probability of husband getting selected is 1/7 and that of wife’s is 1/5. What is the probability that both of them are not selected?

Question 6

If

then the value

where V is the closed region bonded by

, is _______.

Question 7

The root locus of the system

has the break–away point located at

Question 8

A unity feedback control system requires 0.52 seconds to reach its peak value while subjected to the step input. If the settling time of the response for 2% tolerance band is 1.05 seconds. The resonant frequency of the system will be _______ rad/sec.

Question 9

A particular intrinsic semiconductor has a resistivity of 40 Ω-cm at T=300K and 4 Ω-cm at T=330K. What will be the bandgap energy of the semiconductor (Neglecting change in mobility with temperature)?

Question 10

Consider a p-type silicon semiconductor of an MOS structure. Let T=300K and assume N_a = 10¹⁶ cm^-3. The maximum space charge width x_dT and the maximum space charge density |Q'_SD(max)| respectively are:

Question 11

For the circuit given below, if

and current I through

resistor is 2 A then

and

are respectively

Question 12

In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is

Question 13

A linear time-invariant system is having impulse response h₀ (t), input to the system is x₀ (t) and output to the system is y₀ (t),
y₀ (t)= u (t) – u (t -4) [u (t) is the unit step function].
A new input signal x₀ (t + 2) and is applied to the system with impulse response h (t) = h₀ (t - 1).
Then the output waveform of the system y (t) is

Question 14

What will be the result of the convolution x(n)*x(n) where x(n)=

?

Question 15

In the circuit shown below the op-amps are ideal. Then V_out in volts is