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

Practice - Parallel Connection

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Practice Questions

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Question 1 Easy

What is the mathematical representation of a parallel connection?

💡 Hint: Think about how outputs from multiple systems are combined.

Question 2 Easy

Name one advantage of using parallel connections.

💡 Hint: Consider what happens if one system fails.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

In a parallel connection, how are the transfer functions combined?

Multiplied
Added
Subtracted

💡 Hint: Think about how multiple outputs create one single output.

Question 2

True or False: Parallel connections always increase the complexity of a system.

True
False

💡 Hint: Consider the implications of increasing the number of paths in a system.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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).

💡 Hint: Add the individual functions together as per the parallel connection formula.

Challenge 2 Hard

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.

💡 Hint: Consider how modifying the components can improve overall stability.

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