   Chapter 16, Problem 2RCC

Chapter
Section
Textbook Problem

(a) What is a conservative vector field?(b) What is a potential function?

(a)

To determine

To explain: A conservative field.

Explanation

A vector field is defined as a function which assigns a vector to each and every point located in a region of vector. Consider D is a plane region on 2 , then a function F which assigns each and every point (x,y) in region D on 2 and is a two-dimensional vector F(x,y) which is called as a vector field.

A vector field (F) is said to be a conservative vector field, if there exist a gradient of scalar function f such that F=f

(b)

To determine

To explain: The potential function of vector field.

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