Practice Delta Function In Higher Dimensions (12.6) - Dirac Delta Function

Practice: Delta Function in Higher Dimensions

Lesson 12.6Dirac Delta Function

Practise this section

8 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What does the delta function represent in higher dimensions?
Show hintHide hint
Think about how the delta function behaves in one dimension.
Question 2.
Write the delta function in 2D for a point at (x0, y0).
Show hintHide hint
How do you extend the concept of delta functions to 2 dimensions?
3Question 3.
What is the form of the delta function in three dimensions?
- $$\\delta(x-x_0)$$
- $$\\delta(x-x_0)\\delta(y-y_0)$$
- $$\\delta(x-x_0)\\delta(y-y_0)\\delta(z-z_0)$$
Show hintHide hint
Look for the representation in multiple dimensions.
4Question 4.
True or False: The delta function can represent a point load in 3D.
- True
- False
Show hintHide hint
Consider previous applications of the delta function.
Question 5.
A concentrated load is applied at a point (3, 4, 5) in a structure. Write the expression that models this using the Dirac delta function in 3D.
Show hintHide hint
Use the general form of the multi-dimensional delta function for point loads.
Question 6.
Discuss how multi-dimensional delta functions impact numerical simulations in civil engineering. Provide an example.
Show hintHide hint
Think about how numerical tools apply delta function properties.

4 more questions in this section. Enroll free to practise them all.