Electrical Engineering - Online Test
Q1. In the following graph, the number of trees (P) and the number of cut-set (Q) are
Answer : Option C
Explaination / Solution:
Q2. A linear, time - invariant, causal continuous time system has a rational transfer function with simple poles at s =- 2 and s =- 4 and one simple zero at s =- 1 . A unit step u(t) is applied at the input of the system. At steady state, the output has constant value of 1. The impulse response of this system is
Answer : Option C
Explaination / Solution:
Q3. The number of open right half plane of 
is
is
Answer : Option C
Explaination / Solution:
Q4. For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. In the circuit shown below, for the MOS transistors, 
and
the threshold voltage VT = 1 V. The voltage Vx at the source of the upper
transistor is
and
the threshold voltage VT = 1 V. The voltage Vx at the source of the upper
transistor is
Answer : Option C
Explaination / Solution:
Given circuit is shown below.
Thus our assumption is true and Vx = 3 V.
For transistor M2,
Since 
thus M2 is in saturation.
By assuming M1 to be in saturation we have
thus M2 is in saturation.
By assuming M1 to be in saturation we haveTaking positive root,
Thus our assumption is true and Vx = 3 V.
Q6. The Boolean function realized by the logic circuit shown is
Answer : Option D
Explaination / Solution:
Output of the MUX can be written as
Q7. For |x| << 1, coth (x) can be approximated as
Answer : Option C
Explaination / Solution:
Q8. In the following circuit, the switch S is closed at t = 0. The rate of change of
current 
is given by
is given by
Answer : Option B
Explaination / Solution:
Initially i(0-) = 0 therefore due to inductor i(0+) = 0. Thus all current Is will
flow Is in resistor R and voltage across resistor will be IsRs. The voltage across
inductor will be equal to voltage across Rs as no current flow through R.
Q9. The signal x(t) is described by
Two of the angular frequencies at which its Fourier transform becomes zero are
Answer : Option A
Explaination / Solution:
Q10.
The magnitude of frequency responses of an underdamped second order system is 5 at 0 rad/sec and peaks to 10/√3 at 5√2 rad/sec. The transfer function of the system is
Answer : Option C
Explaination / Solution:
