Practice - Case 1: Distinct Real Poles
Practice Questions
Test your understanding with targeted questions
Explain the role of distinct real poles in the PFE method.
💡 Hint: Think about how these polynomials are factored.
What is the cover-up method in the context of PFE?
💡 Hint: Remember how we cover up the term related to the pole.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What method can be used to find coefficients in PFE with distinct real poles?
💡 Hint: Think about the techniques we discussed.
True or False: The PFE method only applies to functions with complex conjugate poles.
💡 Hint: Remember the characteristics of poles.
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Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Make sure to write it as a summation of time functions.
Evaluate the coefficients for X(s) = (2s^2 + 3)/(s^2 - s - 2) using both cover-up and cross-multiplication methods.
💡 Hint: Watch for simplifications in the two approaches.
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