EE GATE 2010 - Online Test
Q1. 
A balanced star-connected and purely resistive load is connected at the secondary of a stardelta transformer as shown in figure. The line-to-line voltage rating of the transformer is 110V/220V. Neglecting the non-idealities of the transformer, the impedance ‘Z’ of the equivalent star-connected load, referred to the primary side o the transformer, is:
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. 
As shown in the figure, a negative feedback system has an amplifier of gain 100 with ±10% tolerance in the forward path, and an attenuator of value 9/100 in the feedback path. The overall system gain is approximately:
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. x(t)is a positive rectangular pulse from t = −1 to t = +1 with unit height as shown in the figure. The value of 
{ where X(ω) is the Fourier transform of x(t)} is
{ where X(ω) is the Fourier transform of x(t)} is
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. 
Consider a three-phase, 50Hz, 11kV distribution system. Each of the conductors is suspended by an insulator string having two identical porcelain insulators. The self-capacitance of the insulator is 5 times the shunt capacitance between the link and the ground, as shown in the figure. The voltage across the two insulators are
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. For the system 2/(s+1), the approximate time taken for a step response to reach 98% of its final value is
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. 
Given the finite length input x[n] and the corresponding finite length output y[n] of an LTI system as shown below, the impulse response h[n] of the system is
Answer : Option C
Explaination / Solution:
No Explaination.
Q7. . Consider a three-core, three-phase, 50Hz, 11kV cable whose conductors are denoted as R, Y
and B in the figure. The inter-phase capacitance (C1) between each pair of conductors is 0.2µF
and the capacitance between each line conductor and the sheath is 0.4.µF. The per-phase
charging current is
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. The frequency response of G(s) = 1/[s(s + 1)(s + 2)] plotted in the complex G(jω) plane (for 0 < ω < ∞) is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. The system ẋ = Ax + Bu with 
is
is
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. For the power system shown in the figure below, the specifications of the components are the
following:
G1 : 25 kV, 100 MVA, X = 9%
G2: 25 kV, 100 MVA, X = 9%
T1: 25 kV/220 kV, 90 MVA, X = 12%
T2: 220 kV/25 kV, 90 MVA, X = 12%
Line 1: 220 kV, X = 150 ohms
Choose 25kV as the base voltage at the generator G1, and 200 MVA as the MVA base. The
impedance diagram is
Answer : Option B
Explaination / Solution:
No Explaination.
