Practice Properties and Key Points - 10.6 | 10. The Dirac Delta Function (Impulse Function) | Mathematics - iii (Differential Calculus) - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the value of $$\int_{-\infty}^{\infty} \delta(t - 1) dt$$?

πŸ’‘ Hint: Think about the integration property.

Question 2

Easy

What is the Laplace Transform of Ξ΄(t)?

πŸ’‘ Hint: Consider the special case of the Dirac Delta Function.

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

The Dirac Delta Function acts as an impulse at ___.

  • Zero
  • One
  • a specific point

πŸ’‘ Hint: Remember the definition of the function!

Question 2

The Laplace Transform of Ξ΄(t) is ____.

  • 0
  • 1
  • ∞

πŸ’‘ Hint: Think back to the special case discussed.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Derive the Laplace Transform of kΞ΄(t - a) where k is a constant.

πŸ’‘ Hint: Begin with the original definition and apply the constant.

Question 2

Discuss how the Dirac Delta Function is utilized in electrical engineering for circuit analysis.

πŸ’‘ Hint: Think about how sudden changes occur and their implications in circuit behavior.

Challenge and get performance evaluation