# Industrial Automation and Control | NPTEL | Week 0 Assignment 0 Solutions

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### Industrial Automation and Control NPTEL Week 0 Assignment 0 Solutions

Q1. Calculate the steady state current in 3ohm resistor shown in the figure below. The capacitance value is 0.2ÂµF and internal resistance of the battery is negligible.

a) 1.5 A
b) 0.9 A
c) 0.6 A
d) None

Q2. Which of the following options is not correct according to Kirchhoff’s Current Law(KCL)?

a) Total current entering a junction is equal to total current leaving
b) Sum of total current at a node is zero
c) We can apply KCL at any point on a straight current carrying conductor.
d) KCL is applicable to closed loops in a network

Answer: d) KCL is applicable to closed loops in a network

Q3. Calculate the mutual inductance of two coils having values 50ÂµH and 100ÂµH connected in series and have a total inductance of 70ÂµF.

a) 40ÂµF
b) 50ÂµF
c) 80ÂµF
d) None

Q4. Thermocouples are

a) Active transducers
b) Passive transducers
c) Both active and passive transducers
d) Output transducers

Q5. The op-amp circuit given below is that of a

a) Low-pass filter with a maximum gain of 1
b) Low-pass filter with a maximum gain of 2
c) High-pass filter with a maximum gain of 1
d) High-pass filter with a maximum gain of 2

Answer: d) High-pass filter with a maximum gain of 2

Industrial Automation and Control NPTEL Week 0 Assignment 0 Solutions

Q6. The digital circuit shown in the figure works as:

a) JK flip-flop
b) Cocked RS flip-flop
c) T flip-flop
d) Ring Counter

Q7. A MUX circuit shown in the figure below implements a logic function F1. The correct expression for F1 is:

a) (xâŠ•y)’âŠ•z
b) ((xâŠ•y)’âŠ•z)’
c) (xâŠ•y)âŠ•z’
d) (xâŠ•y)âŠ•z

Industrial Automation and Control NPTEL Week 0 Assignment 0 Solutions

Q8. For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as G(s) = 2/s(s+1). The steady state error ess due to unit step input is

a) 0
b) 0.5
c) 1
d) âˆž

Q9. Determine the range of K for stability of unity feedback system whose open loop transfer function is G(s) = K/s(s+1)(s+2)

a) K>0
b) 0 < K < 6
c) 0 > K > 6
d) K > 6

Answer: b) 0 < K < 6

Q10. The transfer function Y(s)/U(s) of a system described by the state equations x(t) = -2x(t) + 2u(t), y(t) = 0.5x(t)

a) 0.5/(s-2)
b) 1/(s-2)
c) 1/(s+2)
d) 0.5/(s+2)

Q11. The root locus plot for a system is given below. The open loop transfer function corresponding to this plot is given by

a) G(s)H(s) = k.s(s+1)/(s+2)(s+3)â€‹
b) G(s)H(s) = k.(s+1)/s(s+2)(s+3)
c) G(s)H(s) = k.1/s(s-1)(s+2)(s+3)
d) G(s)H(s) = k.(s+1)/s(s+2)(s+3)2