Practice Parallel Connection (4.7.2) - Analyze Systems Using Block Diagrams in Both Time and Frequency Domains

Practice: Parallel Connection

Lesson 4.7.2Analyze Systems Using Block Diagrams in Both Time and Frequency Domains

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9 questions

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6 sample questions

Question 1.
What is the mathematical representation of a parallel connection?
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Think about how outputs from multiple systems are combined.
Question 2.
Name one advantage of using parallel connections.
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Consider what happens if one system fails.
3Question 3.
In a parallel connection, how are the transfer functions combined?
- Multiplied
- Added
- Subtracted
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Think about how multiple outputs create one single output.
4Question 4.
True or False: Parallel connections always increase the complexity of a system.
- True
- False
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Consider the implications of increasing the number of paths in a system.
Question 5.
If you have three systems combined in parallel, with transfer functions G1(s) = 2/(s+1), G2(s) = 3/(s+2), and G3(s) = 4/(s+3), find the total transfer function G_total(s).
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Add the individual functions together as per the parallel connection formula.
Question 6.
Given a system with two transfer functions, G1(s) and G2(s), in parallel with a feedback path that causes instability, discuss what changes you could make to stabilize the system.
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Consider how modifying the components can improve overall stability.

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