Networks, Signals and Systems - Online Test
Q1. In the following circuit, the input voltage Vin is 100
sin(100πt). For 100πRC = 50, the
average voltages across R (in volts) under steady-state is nearest to
Answer : Option C
Explaination / Solution:
Given circuit is voltage doubler
Vm = Voltage across each capacitor = 100V
Voltage across two capacitors (in steady state)
= 2Vm = 200V
Q2. Let f(x) be a real, periodic function satisfying f(−x) = −f(x). The general form of its Fourier series representation would be
Answer : Option B
Explaination / Solution:
Q3. A series RL circuit is excited at t = 0 by closing a switch as shown in the figure.
Assuming zero initial conditions, the value of 
is
is
Answer : Option D
Explaination / Solution:
Q4. Consider a linear time invariant system x = Ax, with initial condition x(0) at t = 0. Suppose α and β are eigenvectors of (2 x 2) matrix A corresponding to distinct eigenvalues λ1 and λ2 respectively.
Then the response x(t) of the system due to initial condition x(0) = α is
Answer : Option A
Explaination / Solution:
Q5. In the given network V1 = 100∠0° V, V2 = 100∠ − 120° V, V3 = 100∠ + 120° V. The phasor
current 𝑖 (in Ampere) is
Answer : Option D
Explaination / Solution:
Q6. In the given network V1 = 100∠0°V, V2 = 100∠-120°V, V3 = 100∠+120°V. The phasor
current i (in Ampere) is
Answer : Option A
Explaination / Solution:
Q7. Let z(t) = x(t) * y(t), where "*" denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z (ct).
Answer : Option A
Explaination / Solution:
Q8. A three-winding transformer is connected to an AC voltage source as shown in the figure.
The number of turns are as follows: N1 = 100, N2 = 50. If the magnetizing current is
neglected, and the currents in two windings are 
and 
then
what is the value of the current 
in Ampere?
and then
what is the value of the current in Ampere?
Answer : Option A
Explaination / Solution:
Q9. Consider the system with following input-output relation
where, x[n] is the input and y[n] is the output. The system is
where, x[n] is the input and y[n] is the output. The system is
Answer : Option D
Explaination / Solution:
Q10. RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the
direction shown. Which one of the following statements is TRUE?
Answer : Option D
Explaination / Solution:
