The three figure below show three vector fields In each case

The three figure below show three vector fields. In each case, determine whether the liner integral around the circle(oriented counterclockwise)is positive, negative, or zero.

Solution

Answer:

(A) N

(B) 0

(C) P

Explanation:

(A) in this case the field direction is always opposite to line integral, and thus integral value will be negative

(B) in this case some field direction is opposite to line integral, and some field is in the direction of integral, and thus integral value will be zero

(C) in this case a small part of the field direction is opposite to line integral, and most of field direction is in the direction of line integral and thus integral value will be positive