 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-2/8/a/solution

The specified unit normal vector is

e_{z}

, while

F_{z} = 0

everywhere. Thus the normal component of the field vanishes pointwise, giving flux

\int_{S} F \cdot d S = 0 .

 New to topics? Read the docs here!