Home / GATE 2017-2018 / GATE EEE :: Practice Test Paper 1

### GATE 2017-2018 :: GATE EEE

1. In the circuit shown below what is the output voltage (Vout) in Volts if a silicon transistor Q and an ideal op-amp are used?

2.  A. -15 B. -0.7 C. +0.7 D. +15

3. The transfer function V2(s)/ V1(s) of the circuit shown below is

4.  A. (0.5 s + 1)/(s + 1) B. (3s + 6)/(s + 2) C. (s + 2)/(s + 1) D. (s + 1)/(s + 2)

5. Assuming zero initial condition, the response y (t) of the system given below to a unit step input u (t) is

6.  A. u(t) B. t u(t) C. t2/2 u(t) D. e-t u(t)

7. The impulse response of a system is h(t) = t u(t) . For an input u(t -1) , the output is
8.  A. t2/2 u(t) B. t(t - 1)/2 u(t - 1) C. (t - 1)2/2 u(t - 1) D. (t2 - 1)/2 u(t - 1)

9. Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?
10.  A. All the poles of the system must lie on the left side of the jÏ‰ axis. B. Zeros of the system can lie anywhere in the s-plane. C. All the poles must lie within |s| = 1. D. All the roots of the characteristic equation must be located on the left side of the jÏ‰ axis.

11. Two systems with impulse responses h1 (t) and h2 (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by
12.  A. product of h1 (t) and h2 (t) B. sum of h1 (t) and h2 (t) C. convolution of h1 (t) and h2 (t) D. subtraction of of h2 (t) and h1 (t)

13. A source vs (t) = V cos 100 Ï€t has an internal impedance of (4 + j3)â„¦ . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in â„¦ should be
14.  A. 3 B. 4 C. 5 D. 7

15. A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10âˆ -150oA and if the voltage at the load terminals is 100âˆ 60o V, then the
16.  A. load absorbs real power and delivers reactive power. B. load absorbs real power and absorbs reactive power. C. load delivers real power and delivers reactive power. D. load delivers real power and absorbs reactive power.

17. A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test. When a short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at
18.  A. 50.0% of the rated current. B. 64.0% of the rated current. C. 80.0% of the rated current. D. 88.8% of the rated current.

19. The flux density at a point in space is given by B = 4 xax + 2kyay + 8 az Wb/m2. The value of constant k must be equal to
20.  A. -2 B. -0.5 C. +0.5 D. +2