EE GATE 2012 - Online Test
Q1. The bus admittance matrix of a three-bus three-line system is
If each transmission line between the two buses is represented by an equivalent π-network, the
magnitude of the shunt susceptance of the line connecting bus 1 and 2 is
Answer : Option B
Explaination / Solution:
Q2. The unilateral Laplace transform of f (t) is 
. The unilateral Laplace transform of
t f (t)
is
. The unilateral Laplace transform of
t f (t)
is
Answer : Option D
Explaination / Solution:
Q3. A 220 V, 15 kW, 1000 rpm shunt motor with armature resistance of 0.25 Ω has a rated line current of 68 A and a rated field current of 2.2 A. The change in field flux required to obtain a speed of 1600 rpm while drawing a line current of 52.8 A and a field current of 1.8 A is
Answer : Option D
Explaination / Solution:
Q4. The maximum value of F(x) = x3 – 9x2 + 24x + 5 in the interval [1, 6] is
Answer : Option C
Explaination / Solution:
Q5. In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is 1800 -conduction mode.
All the switching devices are ideal
The rms value of load phase voltage is
Answer : Option B
Explaination / Solution:
Q6. The figure shows a two-generator system supplying a load of PD = 40 MW, connected at bus 2.
The fuel cost of generators G1 and G2 are : 
and the loss in the line is 
where the loss coefficient is specified in pu on a
100 MVA base. The most economic power generation schedule in MW is
and the loss in the line is where the loss coefficient is specified in pu on a
100 MVA base. The most economic power generation schedule in MW is
Answer : Option A
Explaination / Solution:
Q7. 
Answer : Option B
Explaination / Solution:
Q8. The locked rotor current in a 3-phase, star connected 15 kW, 4-pole, 230 V, 50 Hz induction motor at rated conditions is 50 A. Neglecting losses and magnetizing current, the approximate locked rotor line current drawn when the motor is connected to a 236 V, 57 Hz supply is
Answer : Option B
Explaination / Solution:
Q9. T he feedback system shown below oscillates at 2 rad/s when
Answer : Option A
Explaination / Solution:
Q10. The state variable description of an LTI system is given by
where y is the output and u is the input. The system is controllable for
Answer : Option D
Explaination / Solution:
