EE GATE 2013 - Online Test
Q1. The impulse response of a system is h(t) = tu(t). For an input u(t − 1), the output is
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. When the Newton-Raphson method is applied to solve the equation f(x) = x3 + 2x – 1 = 0, the solution at the end of the first iteration with the initial
guess value as x0 = 1.2 is
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. A function y = 5x2 + 10x is defined over an open interval x = (1,2). Atleast at one
point in this interval, dy/dx is exactly
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The following arrangement consists of an ideal transformer and an attenuator
which attenuates by a factor of 0.8. An ac voltage VWX1 = 100 V is applied across
WX to get an open circuit voltage across YZ. Next, an ac voltage VYZ2 =100V is
applied across YZ to get an open circuit voltage VWX2 across WX. Then, 
are respectively,
are respectively,
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. 
Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. 
evaluated anticlockwise around the circle |z - i| = 2, where i = √-1, is
evaluated anticlockwise around the circle |z - i| = 2, where i = √-1, is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. For a power system network with n nodes, Z33 of its bus impedance matrix is j0.5 per unit. The
voltage at node 3 is 1.3 ∠–10° per unit. If a capacitor having reactance of –j3.5 per unit is now
added to the network between node 3 and the reference node, the current drawn by the capacitor per
unit is
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated
armature voltage of 150 V. An ideal chopper switching at 5 kHz is used to control the armature
voltage. If La= 0.1 mH, Ra= 1 Ω, neglecting armature reaction, the duty ratio of the chopper to
obtain 50% of the rated torque at the rated speed and the rated field current is
Answer : Option D
Explaination / Solution:
No Explaination.
Q10. 
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of
Answer : Option B
Explaination / Solution:
No Explaination.
