
Understanding Divergence in Vector Fields

Interactive Video
•
Mathematics, Physics, Science
•
11th Grade - University
•
Hard

Mia Campbell
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the divergence of a vector field with only an X component depend on?
The sum of the X and Y components
The partial derivative of the X component with respect to X
The partial derivative of the Y component with respect to Y
The magnitude of the vector field
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a vector field with a non-zero Y component, what does a positive divergence indicate?
The Y component is increasing
The vector field is static
The X component is increasing
The Y component is decreasing
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the Y component of a vector field as you move upwards in space?
It becomes zero
It increases
It decreases
It remains constant
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the partial derivative of Q with respect to Y relate to divergence?
It indicates negative divergence
It is unrelated to divergence
It only affects the X component
It corresponds to positive divergence
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive partial derivative of Q with respect to Y suggest about the vector field?
The field is converging
There is a positive divergence
The X component is dominant
The field is static
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for the divergence of a vector field?
The sum of the magnitudes of the X and Y components
The difference between the X and Y components
The product of the X and Y components
The partial derivative of P with respect to X plus the partial derivative of Q with respect to Y
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the partial derivative of P with respect to X in the divergence formula?
It only applies to static fields
It is irrelevant to divergence
It shows the change in the X component
It indicates the flow in the Y direction
Create a free account and access millions of resources
Similar Resources on Wayground
11 questions
Understanding the Divergence Theorem

Interactive video
•
11th Grade - University
11 questions
Understanding the Divergence Theorem

Interactive video
•
11th Grade - University
8 questions
How to find the component form and magnitude of a vector

Interactive video
•
11th Grade - University
8 questions
Master Determining the magnitude of a vector

Interactive video
•
11th Grade - University
11 questions
Curl and Divergence in Vector Fields

Interactive video
•
11th Grade - University
11 questions
Spherical Coordinates and Vector Fields

Interactive video
•
11th Grade - University
6 questions
The divergence operator and Gauss's'law

Interactive video
•
11th - 12th Grade
11 questions
Vector Functions and Mass Concepts

Interactive video
•
11th Grade - University
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
9 questions
Geometry and Trigonometry Concepts

Interactive video
•
9th - 12th Grade
31 questions
2.1.3 Angle relationships

Quiz
•
10th - 11th Grade
10 questions
Angle Relationships with Parallel Lines and a Transversal

Quiz
•
9th - 12th Grade
11 questions
Solving Multistep Equations Quiz

Quiz
•
11th Grade
10 questions
Intro to Parallel and Perpendicular Slopes

Quiz
•
9th - 12th Grade
15 questions
Absolute Value Equations and Inequalities

Quiz
•
9th - 11th Grade
15 questions
Intro To Compound Inequalities

Quiz
•
9th - 12th Grade