Signals and Systems - Online Test
Q1. In the circuit shown, the three voltmeter readings are V1 = 220 V , V2 = 122 V, V3 = 136 V .
If RL = 5Ω , the approximate power consumption in the load is
Answer : Option B
Explaination / Solution:
Q2. The impulse response of a continuous time system is given by h(t) = δ(t - 1) + δ(t - 3). The value of the step response at t = 2 is
Answer : Option B
Explaination / Solution:
No Explaination.
Q3. 
Consider a delta connection of resistors and its equivalent star connection as shown below. If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. The state variable formulation of a system is given as 
The response y(t) to the unit step input is
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. The state variable formulation of a system is given as
The system is
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Thyristor T in the figure below is initially off and is triggered with a single pulse of
width 10µs . It is given that 
Assuming latching
and holding currents of the thyristor are both zero and the initial charge on C is
zero, T conducts for
Assuming latching
and holding currents of the thyristor are both zero and the initial charge on C is
zero, T conducts for
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. Consider an LTI system with impulse response 
If the output of the system is 
then the input, x(t), is given by
If the output of the system is then the input, x(t), is given by
Answer : Option B
Explaination / Solution:
Q9. Two magnetically uncoupled inductive coils have Q factors q1 and q2 at the
chosen operating frequency. Their respective resistances are R1 and R2 . When
connected in series, their effective Q factor at the same operating frequency is
Answer : Option C
Explaination / Solution:
No Explaination.
Q10. A discrete system is represented by the difference equation
It has initial condition X1(0) = 1; X2(0) = 0. The pole location of the system for a = 1, are
Answer : Option A
Explaination / Solution:
from the given difference equation,
