# Block Diagram and Signal Flow Graphs – Exercise – 1

1. In the following block diagram, G1 = 10/s, G2 = 10/(s + 1) , H1 = S + 3 and H2 = 1. The overall transfer function C/R is given by :

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

Explanation
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2. The signal flow of a system is shown in the given figure. In this graph, the number of three non-touching loops is :

(a) zero
(b) 1
(c) 2
(d) 3
Explanation
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3. A signal flow graph is shown in the given figure. The number of forward paths M and the number of individual loops P for this signal flow graph would be :

(a) M = 4 and P = 3
(b) M = 6 and P = 3
(c) M = 4 and P = 6
(d) M = 6 and P = 6
Explanation
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4. The equations based on which a signal flow graph is drawn must be :

(a) differential equations
(b) algebraic equation
(c) algebraic equations in the form of cause –and effect relation
(d) differential equations in form of cause –and effect relations

Explanation
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5. A node which has both incoming and outgoing branches is called a/an :

(a) input node
(b) output node
(c) mixed note
(d) general node