Practice Case 1: Distinct Real Poles - 5.2.1.3.1 | Module 5: Laplace Transform Analysis of Continuous-Time Systems | Signals and Systems
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5.2.1.3.1 - Case 1: Distinct Real Poles

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Explain the role of distinct real poles in the PFE method.

πŸ’‘ Hint: Think about how these polynomials are factored.

Question 2

Easy

What is the cover-up method in the context of PFE?

πŸ’‘ Hint: Remember how we cover up the term related to the pole.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What method can be used to find coefficients in PFE with distinct real poles?

  • Cross-Multiplication
  • Cover-Up Method
  • Both

πŸ’‘ Hint: Think about the techniques we discussed.

Question 2

True or False: The PFE method only applies to functions with complex conjugate poles.

  • True
  • False

πŸ’‘ Hint: Remember the characteristics of poles.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the function X(s) = (5s + 7)/((s - 3)(s + 4)), apply the PFE method to find the time-domain representation after finding K1 and K2.

πŸ’‘ Hint: Make sure to write it as a summation of time functions.

Question 2

Evaluate the coefficients for X(s) = (2s^2 + 3)/(s^2 - s - 2) using both cover-up and cross-multiplication methods.

πŸ’‘ Hint: Watch for simplifications in the two approaches.

Challenge and get performance evaluation