GATE 2019: Topper Mini Mock 2 (App update required to attempt this test)
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Question 1
The transfer characteristic of the Op-amp circuit shown in figure is
Question 2
For the circuit shown in the figure below, it is given that. The transistor has when the B-E junction is forward biased. For this circuit, the value of is
Question 3
Consider a liner time-invariant system transfer function. If the input is and the steady state output is then the value of A is______.
Question 4
The characteristic equation of a system is given by
Find the number of poles of the system in the Right-half of s-plane.
Question 5
The Boolean expression simplifies to
Question 6
Consider the program given below : MOV A, C STC CMC DCR C Let, the content of register C is 00 H initially and the above instructions are executed, then content of register C and flag register is respectively
Question 7
A 500V, 40 kVA, 1 - ϕ alternator has an effective resistance of √5 Ω. An armature current of 100 A on short circuit produced by field current of 10 A and an emf of 300 V on open circuit. Then calculate the full load regulation (in Percentage) with power factor 0.8 lagging –
Question 8
The figure shows the per-phase equivalent circuit of a two-pole three-phase induction motor operating at 50 Hz. The “air-gap” voltage across the magnetizing inductance, is 210 V RMS and the slip, s, is 0.05. The torque (in N-m) produced by the motor is ________.
Question 9
A point charge of +1 nC is placed in a space with a permitivity of 8.85 × 10–12 F/m as shown in Fig. The potential difference VPQ between two points P and Q at distances of 40 mm and 20 mm respectively from the point charge is
Question 10
The charge stored in the capacitor at t = 5 μs, will be
Question 11
The inductance of a moving iron ammeter with a full scale deflection of 90 ° at 1.5 A, is given by the expression where θ is the deflection in radian from the zero position. Estimate the angular deflection of the pointer for a current of 1 A.
Question 12
A voltmeter and an ammeter are to be used to determine the power dissipated in a resistor. Both instruments are guaranteed to be accurate within ± 1% at full scale depletion. If the voltmeter reads 100 V on its 150 V range and the ammeter reads 55 mA on its 100 mA range, determine the limiting error for the power calculated.
Question 13
Value of i at t= 1 sec and voltage across R during t<1 sec and t> 1 sec is
Question 14
Current through R3 , L at time t= 9 sec and t=12 sec respectively is
Question 15
A single-phase full-bridge inverter has RLC load of R = 4 Ω, L = 35 mH and C = 155 μF. The dc input voltage is 230 V and output frequency is 50 Hz. The 3rd harmonic component in load current is
Question 16
In a 3 - ϕ dual converter circuit shown below,
the reactor voltage is,
Question 17
A single core cable for use on 11 kV, 50 Hz system has conductor area 0.645 cm2 and the internal diameter of sheath is 2.18 cm. The maximum electric stress in the cable is
Question 18
The three conductor of a 3-phase line are arranged at the corners of a triangle of sides 2 m, 2.5 m and 4.5 m. The inductance per phase per meter, if the diameter of each conductor is 1.24 cm and conductor are regularly transposed is
Question 19
If u(t) is the unit step and δ(t) is the unit impulse function, the inverse z-transform of F(z) = for k > 0 is:
Question 20
The transfer function of a system is given the system will be
Question 21
The solution of the differential equation, for t>0, y” (t) +2y’ (t) + (y) (t) = 0 with initial conditions y (0) = 0 and y’ (0) = 1, is (u(t) denotes the unit step function),
Question 22
A signal is represented by
The Fourier transform of the convolved signal y(t)=x(2t)*x(t/2) is
Question 23
If the Fourier Transform of x(t) is X(j). Then determine the F.T. of x(5t-3).
Question 24
Which number does not belong in the series below? 2, 5, 10, 17, 26, 37, 50, 64
Question 25
Who ___________ was coming to see us this evening?