EE GATE 2011 - Online Test
Q1. A voltage commutated chopper circuit, operated at 500Hz, is shown below.
If the maximum value of load current is 10A, then the maximum current through the main (M) and auxiliary (A) thyristors will be
Answer : Option A
Explaination / Solution:
Q2. The matrix 
is decomposed into a product of a lower triangular
matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and
[U] matrices respectively are
is decomposed into a product of a lower triangular
matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and
[U] matrices respectively are
Answer : Option D
Explaination / Solution:
[A] = [L][U] Option D is correct
Q3. A two – bit counter circuit is shown below
It the state QAQB of the counter at the clock time tn is ‘10’ then the state QAQB of the counter at tn + 3 (after three clock cycles ) will be
Answer : Option C
Explaination / Solution:
Q4. The sum of n terms of the series 4+44+444+.... is
Answer : Option C
Explaination / Solution:
Q5. Let the Laplace transform of a function F(t) which exists for t > 0 be F1(s) and
the Laplace transform of its delayed version 
be the
complex conjugate of F1(s) with the Laplace variable set as s=σ + jw. If G(s) = 
, then the inverse Laplace transform of G(s) is
be the
complex conjugate of F1(s) with the Laplace variable set as s=σ + jw. If G(s) = , then the inverse Laplace transform of G(s) is
Answer : Option B
Explaination / Solution:
Q6. 
The open loop transfer function G(s) of a unity feedback control system is given as
From the root locus, it can be inferred that when k tends to positive infinity,
Answer : Option A
Explaination / Solution:
Q7. The two vectors [1,1,1] and [1, a, a2], where a = 
, are
, are
Answer : Option B
Explaination / Solution:
Dot product of two vectors = 1 + a + a2 = 0
So orthogonal
Q8. A three –phase 440V, 6 pole, 50Hz, squirrel cage induction motor is running at a slip of 5%. The speed of stator magnetic field to rotor magnetic field and speed of rotor with respect to stator magnetic field are
Answer : Option A
Explaination / Solution:
Q9. A capacitor is made with a polymeric dielectric having an εr of 2.26 and a
dielectric breakdown strength of 50kV/cm. The permittivity of free space is
8.85pF/m. If the rectangular plates of the capacitor have a width of 20cm and a
length of 40cm, then the maximum electric charge in the capacitor is
Answer : Option C
Explaination / Solution:
Q10. A clipper circuit is shown below.
Assuming forward voltage drops of the diodes to be 0.7V, the input-output transfer characteristics of the circuit is
Answer : Option C
Explaination / Solution:
