Electrical Engineering - Online Test
Q1. For the differential equation 
with initial conditions x(0) = 1 and 
the solution is
with initial conditions x(0) = 1 and the solution is
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. Two series resonant filters are as shown in the figure. Let the 3-dB bandwidth
of Filter 1 be B1 and that of Filter 2 be B2. the value B1/B2 is
Answer : Option D
Explaination / Solution:
Q3. A unity feedback control system has an open-loop transfer function 
. The gain K for which s = +j will lie on the root locus of this system is
. The gain K for which s = +j will lie on the root locus of this system is
Answer : Option D
Explaination / Solution:
Q4. A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ of the delta modulator are 20,000 samples per second and 0.1 V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is
Answer : Option A
Explaination / Solution:
For preventing slope overload, we should have
(slope of m(t) ≤ (slope of sampling)
For sinusoidal signal, if
Q5.
Consider a linear system whose state space representation is x(t) = Ax(t). If the initial state vector of the system is 
then the system response is 
If the itial state vector of the system changes to the system response becomes 
then the system response is If the itial state vector of the system changes to the system response becomes The system matrix A is
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. In the circuit shown below, capacitors C1 and C2 are very large and are shorts
at the input frequency. vi is a small signal input. The gain magnitude 
at 10
M rad/s is
at 10
M rad/s is
Answer : Option A
Explaination / Solution:
For the parallel RLC circuit resonance frequency is,
which is maximum
Thus given frequency is resonance frequency and parallel RLC circuit has
maximum impedance at resonance frequency
Gain of the amplifier is 
where ZC is impedance of parallel RLC
circuit.
where ZC is impedance of parallel RLC
circuit.Hence at this frequency (ωr), gain is
which is maximumTherefore gain is maximum at ωr = 10 /sec M rad .
Q7. Match the logic gates in Column A with their equivalents in Column B
Answer : Option D
Explaination / Solution:
Q8. For the set of equations
The following statement is true
Answer : Option D
Explaination / Solution:
No Explaination.
Q9. 
For the circuit shown in the figure, the Thevenin voltage and resistance looking into X − Y are
Answer : Option D
Explaination / Solution:
Here Vth is voltage across node also. Applying nodal analysis we get
Q10. The state space representation of a separately excited DC servo motor dynamics
is given as
where ω is the speed of the motor, ia is the armature current and u is the
armature voltage. The transfer function ω(s)/U(s) of the motor is
Answer : Option D
Explaination / Solution:
