Electronics Engineering - Online Test

Q1. In the circuit shown, the power supplied by the voltage source is

Answer : Option A
Explaination / Solution:

Applying nodal analysis

Current from voltage source is

Since current through voltage source is zero, therefore power delivered is zero.

Q2. The signal flow graph of a system is shown below:

The state variable representation of the system can be
Answer : Option D
Explaination / Solution:



Q3.
Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as

Which one of the following statements is true about the system?

Answer : Option A
Explaination / Solution:

For an input-output relation if the present output depends on present and past input values then the given system is “Causal”.
For the given relation,

For n ranging from 0 to 10 present output depends on present input only.
At all other points present output depends on present and past input values.
Thus the system is “Causal”.
Stability
If x[n] is bounded for the given finite range of n i.e. 0 ≤ n ≤ 10 y[n] is also bounded.
Similarly x[n] - x[n-1] is also bounded at all other values of n
Thus the system is “stable”.

Q4. The small-signal resistance   in kW offered by the n-channel MOSFET M shown in the figure below, at a bias point of V= 2V is (device data for M: device transconductance parameter ,  threshold voltage VTN = 1V,  and neglect body effect and channel length modulation effects)

Answer : Option A
Explaination / Solution:
No Explaination.


Q5. What are the minimum number of 2- to -1 multiplexers required to generate a 2- input AND gate and a 2- input Ex-OR gate
Answer : Option A
Explaination / Solution:

The AND gate implementation by 2:1 mux is as follows


Q6. A message signal m(t) = cos 200πt + 4cosπt  modulates the carrier c(t) = coe 2πfct where fc = 1MHz to produce an AM signal. For demodulating the generated AM signal using an envelope detector, the time constant RC of the detector circuit should satisfy
Answer : Option B
Explaination / Solution:

Highest frequency component in m(t) is 
Carrier frequency fc = 1 MHz
For Envelope detector condition


Q7.
In the interconnection of ideal sources shown in the figure, it is known that the 60 V source is absorbing power.

Which of the following can be the value of the current source I ?
Answer : Option A
Explaination / Solution:

Circuit is as shown below

Since 60 V source is absorbing power. So, in 60 V source current flows from + to - ve direction So,
I + I1 = 12
I = 12 - I1
I is always less then 12 A So, only option (A) satisfies this conditions.

Q8. Assign output of each integrator by a state variable

The transfer function of the system is
Answer : Option C
Explaination / Solution:

By masson’s gain formula



Q9. The ac schematic of an NMOS common-source state is shown in the figure below, where part of the biasing circuits has been omitted for simplicity. For the n-channel MOSFET M, the transconductance  and body effect and channel length modulation effect are to be neglected. The lower cutoff frequency in HZ of the circuit is approximately at

Answer : Option A
Explaination / Solution:
No Explaination.


Q10. Let x(t) be a continuous time periodic signal with fundamental period T = 1 seconds. Let {ak} be the complex Fourier series coefficients of x(t), where k is integer valued. Consider the following statements about x(3t):
I.   The complex Fourier series coefficients of x(3t) are {ak} where k is integer valued
II.  The complex Fourier series coefficients of x(3t) are {3ak} where k is integer valued
III. The fundamental angular frequency of x(3t) is 6𝜋 rad/s
For the three statements above, which one of the following is correct?
Answer : Option B
Explaination / Solution:

Fourier series coefficient ak is unaffected by scaling operating. Thus (I) is true and (II) is false.
T = 1sec for x(t) and if it compressed by '3' then the resultant period T = 1/3
Fundamental frequency = 2𝜋/T1= = 6𝜋 rad/sec
Thus (III) is correct.