Signals and Systems - Online Test
Q1. A dual trace oscilloscope is set to operate in the Alternate mode. The control input of the multiplexer used in the y-circuit is fed with a signal having a frequency equal to
Answer : Option C
Explaination / Solution:
No Explaination.
Q2. The r.m.s value of the current i(t) in the circuit shown below is
Answer : Option B
Explaination / Solution:
Q3. The fourier series expansion 
of the periodic
signal shown below will contain the following nonzero terms
of the periodic
signal shown below will contain the following nonzero terms
Answer : Option D
Explaination / Solution:
⇒ it satisfies the half wave symmetry, so that it contains only odd harmonics.
⇒ It satisfies the even symmetry. So bn = 0
Q4. The voltage applied to a circuit is 
volts and the circuit draws
a current of 
amperes. Taking the voltage as the
reference phasor, the phasor representation of the current in amperes is
volts and the circuit draws
a current of amperes. Taking the voltage as the
reference phasor, the phasor representation of the current in amperes is
Answer : Option B
Explaination / Solution:
Q5. 
The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is
Answer : Option A
Explaination / Solution:
Q6. 
In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of 3W is
Answer : Option A
Explaination / Solution:
Q7. Given two continuous time signals 
which exist for t > 0,
the convolution z(t) = x(t)* y(t) is
which exist for t > 0,
the convolution z(t) = x(t)* y(t) is
Answer : Option A
Explaination / Solution:
Q8. A lossy capacitor Cx, rated for operation at 5 kV, 50 Hz is represented by an
equivalent circuit with an ideal capacitor Cp in parallel with a resistor Rp. The
value Cp is found to be 0.102 µF and the value of Rp = 1.25 MΩ . Then the power
loss and tan ∂ of the lossy capacitor operating at the rated voltage, respectively,
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. 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:
Q10. 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:
