EE GATE 2015 PAPER 02 - Online Test
Q1. Find the transformer ratios a and b that the impedance (Zin) is resistive and equal
2.5Ω when the network is excited with a sine wave voltage of angular frequency of 5000 rad/s.
Answer : Option B
Explaination / Solution:
Q2. 
A 3-bus power system network consists of 3 transmission lines. The bus admittance matrix of the uncompensated system is
If the shunt capacitance of all transmission line is 50% compensated, the imaginary part
of the 3rd row 3rd column element (in pu) of the bus admittance matrix after compensation
is
Answer : Option B
Explaination / Solution:
Q3. The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables x and y. The integration time step is h.
For this discrete-time system, which one of the following statements is TRUE?
Answer : Option A
Explaination / Solution:
No Explaination.
Q4. A 4-pole, separately excited, wave wound DC machine with negligible armature resistance is rated for 230 V and 5 kW at a speed of 1200 rpm. If the same armature coils are reconnected to forms a lap winding, what is the rated voltage (in volts) and power (in kW) respectively at 1200 rpm of the reconnected machine if the field circuit is left unchanged?
Answer : Option B
Explaination / Solution:
In wave wound, no. of parallel paths is 2.
In lap wound, no of parallel paths is A = p = 4.
Rated voltage = (230 × 2)/4 = 115 V
As no. of parallel paths is divided into four from two, the voltage reduces to half but power remains the same.
Q5. A balanced (positive sequence) three-phase AC voltage source is connected to a balanced, star
connected load through a star-delta transformer as shown in the figure. The line-to-line voltage
rating is 230 V on the star side, and 115 V on the delta side. If the magnetizing current is neglected and 
then what is the value of 
in Ampere?
then what is the value of in Ampere?
Answer : Option A
Explaination / Solution:
Q6. A 3-phase transformer rated for 33 kV/11 kV is connected in delta/star as shown in figure.
The current transformers (CTs) on low and high voltage sides have a ratio of 500/5. Find
the currents i1 and i2, if the fault current is 300A as shown in figure.
Answer : Option A
Explaination / Solution:
Q7. Nyquist plot of two functions G1(s) and G2(s) are shown in figure.
Nyquist plot of the product of G1(s) and G2(s) is
Answer : Option B
Explaination / Solution:
Q8. Consider a function f(x) = 1 - |x| on -1 ≤ x ≤ 1. The value of x at which the function attains a maximum, and the maximum value of function are:
Answer : Option C
Explaination / Solution:
Q9. 
For the system governed by the set of equations:
the transfer function Y(s)/U(s) is given by
Answer : Option A
Explaination / Solution:
Q10. An open loop transfer function G(s) of a system is
For a unity feedback system, the breakaway point of the root loci on the real axis occurs at,
Answer : Option A
Explaination / Solution:
1+ G= (
