EE GATE 2013 - Online Test

Q1. The transfer function  of the circuit shown below is
  
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. A matrix has eigenvalues –1 and –2. The corresponding eigenvectors are  respectively. The matrix is 
Answer : Option D
Explaination / Solution:
No Explaination.


Q3. The state variable formulation of a system is given as 

The response y(t) to the unit step input is
Answer : Option A
Explaination / Solution:
No Explaination.


Q4. In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1 Ω.

The voltage phase angles in rad at buses 2 and 3 are
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
Answer : Option C
Explaination / Solution:
No Explaination.


Q6. The signal flow graph for a system is given below. The Transfer function, Y(s)/U(s) for the system is 

Answer : Option A
Explaination / Solution:
No Explaination.


Q7. The state variable formulation of a system is given as 
The system is
Answer : Option A
Explaination / Solution:
No Explaination.


Q8. In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1 Ω.
If the base impedance and the line-to line base voltage are 100 ohms and 100kV respectively, then the real power in MW delivered by the generator connected at the slack bus is
Answer : Option C
Explaination / Solution:
No Explaination.


Q9. Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10µs . It is given that  Assuming latching and holding currents of the thyristor are both zero and the initial charge on C is zero, T conducts for 

Answer : Option C
Explaination / Solution:
No Explaination.


Q10. The open-loop transfer function of a dc motor is given as  When connected in feedback as shown below, the approximate value of Ka that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is

Answer : Option C
Explaination / Solution:
No Explaination.