# Block diagram Algebra MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Block diagram Algebra”.

1. For the block diagram given in the following figure, the expression of C/R is:

a) G1G2G3/1-G2G1
b) G1G2/1-G1G2G3
c) G1G2G3/1-G1G2G3
d) G1G2/G3(1-G1G2)

2. The transfer function from D(s) to Y(s) is :

a) 2/3s+7
b) 2/3s+1
c) 6/3s+7
d) 2/3s+6

3. Consider the block diagram shown below:

If the transfer function of the system is given by T(s)=G1G2+G2G3/1+X. Then X is:
a) G2G3G4
b) G2G4
c) G1G2G4
d) G3G4

4. The closed loop gain of the system shown in the given figure is :

a) -9/5
b) -6/5
c) 6/5
d) 9/5

5. The overall transfer function from block diagram reduction for cascaded blocks is :
a) Sum of individual gain
b) Product of individual gain
c) Difference of individual gain
d) Division of individual gain

6. Transfer function of the system is defined as the ratio of Laplace output to Laplace input considering initial conditions________
a) 1
b) 2
c) 0
d) infinite

7. The advantage of block diagram representation is that it is possible to evaluate the contribution of each component to the overall performance of the system.
a) True
b) False

8. The overall transfer function of two blocks in parallel are :
a) Sum of individual gain
b) Product of individual gain
c) Difference of individual gain
d) Division of individual gain

9. In the following block diagram, G1=10/s G2=10/s+1 H1=s+3, H2=1. The overall transfer function is given by :

a) 10/11s2+31s+10
b) 100/11s2+31s+100
c) 100/11s2+31s+10
d) 100/11s2+31s

10. Oscillations in output response is due to :
a) Positive feedback
b) Negative feedback
c) No feedback
d) None of the mentioned