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WorksheetsSignal Flow Graph Quiz
Total questions: 15
Worksheet time: 11mins
A Signal Flow Graph represents a system in terms of:
Physical components
Algebraic equations
Block diagrams
Summing points only
In a Signal Flow Graph, a branch represents:
Summation of signals
Signal transportation with gain
Decision point
Node merger
Mason’s Gain Formula is used to compute:
Closed-loop gain of block diagrams
Transfer function of Signal Flow Graph
Stability margins
System bandwidth
A forward path is defined as:
Any path opposite to signal direction
A path from input to output that does not repeat nodes
A closed-loop in the graph
Path containing feedback
A loop is:
Any closed path
A path from input to output
A path with repeated nodes allowed
A path with no branch gains
In Mason’s formula, Δ represents:
Sum of all forward path gains
Product of branch gains
Determinant of the graph
1 minus sum of individual loop gains plus non-touching loop combinations
Two loops are non-touching if:
They share branch gains
They share nodes
They do not share any nodes
They do not share direction
Mason’s Gain Formula is applicable only when:
Graph is linear
Graph has no loops
Graph contains only one feedback loop
Both input and output nodes are summing points
Which of the following is NOT a property of SFG?
Signals combine additively at nodes
Multiplication happens along branches
SFGs represent non-linear systems
Node represents a variable
If a Signal Flow Graph has no loops, the overall gain is:
Zero
Product of branch gains
Sum of branch gains
Ratio of input to output branch
The path gain of a forward path is:
Sum of all branch gains in the path
Minimum branch gain
Product of all branch gains
Ratio of loop gain to branch gain
The effect of feedback loops is incorporated in Mason’s formula through:
Forward path gains
Δ factor
Non-touching forward paths
Output node gain
A Signal Flow Graph can represent which type of systems?
Only electrical systems
Only mechanical systems
Only thermal systems
Any system described by linear equations
Removal of a node in a Signal Flow Graph affects:
Only forward paths
All paths and loops passing through that node
Only loops
Only input node
Mason’s Gain Formula gives the transfer function as: T=Δ∑P_k/Δ_k Here P_k represents:
Loop gains
Non-touching loops
Forward path gains
Node gains
