Practice Poles And Zeros Of H(s): Decoding System Characteristics From The S-plane (5.5.2)
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Engineering Courses
Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Certifications
Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Poles and Zeros of H(s): Decoding System Characteristics from the S-Plane

Practice - Poles and Zeros of H(s): Decoding System Characteristics from the S-Plane

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a pole in the context of H(s)?

💡 Hint: Think about where the function H(s) might become undefined.

Question 2 Easy

Define zeros in H(s).

💡 Hint: Focus on the numerator of the function!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What indicates a stable system in H(s)?

All poles in the Right Half-Plane
All poles in the Left Half-Plane
Poles on the Imaginary Axis

💡 Hint: Think about where poles should not be for stability.

Question 2

True or False: Zeros affect the stability of a system.

True
False

💡 Hint: Focus on roles of poles vs. zeros.

Get performance evaluation

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a transfer function H(s) = (s + 4)(s + 1)/(s^2 + 5s + 6), calculate the poles and zeros and analyze the stability.

💡 Hint: Use factoring for zeros and the quadratic formula for poles.

Challenge 2 Hard

Sketch the pole-zero plot for H(s) = (s + 2) / (s^2 + 3s + 2) and determine its stability.

💡 Hint: Plot the points on the complex plane and reference stability conditions.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.