Practice System Description (3.5.1) - Mathematically Model Dynamic Systems and Derive Transfer Functions
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System Description

Practice - System Description - 3.5.1

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What components make up an RLC circuit?

💡 Hint: Think about basic electrical components.

Question 2 Easy

What is the role of a resistor in a circuit?

💡 Hint: Consider what happens when current passes through it.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the transfer function of a series RLC circuit?

H(s) = R + Ls + (1/(Cs))
H(s) = I(s)/Vin(s)
H(s) = 1/(R + Ls + (1/(Cs)))

💡 Hint: Focus on the output-output relationship.

Question 2

True or False: The voltage across the capacitor is directly proportional to the current flowing through it.

True
False

💡 Hint: Recall how a capacitor stores energy.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

For an RLC circuit with values R = 6Ω, L = 2H, and C = 0.25F, simulate the response to a unit step input using the derived transfer function. Discuss what you observed.

💡 Hint: Focus on the behavior as time approaches infinity.

Challenge 2 Hard

Discuss the effect of varying capacitance in the response of an RLC circuit to a frequency sweep test. What changes occur in the transfer function?

💡 Hint: Consider how capacitors affect frequency response.

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Reference links

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