Consider the following vector field: There are three different curves. The first
ID: 2965376 • Letter: C
Question
Consider the following vector field:
There are three different curves. The first curve is y=x^2, which starts from (0,0) and goes to (1,1). The second curve is the semicircle x^2+y^2=2, with radius sqrt(2), starting at (1,1) and ending at (-1,-1). The third curve is a line segment y=x, which starts at (-1,-1) and ends at (0,0), closing the loop.
A. Without calculating the circulation of F on this path, explain how the circulation is not zero.
B. Compute the circulation of F on this path using Stroke's theorem
C. Compute the circulation of F on this path directly
a. Without
Explanation / Answer
I will tell you the procedure
a. Use greens theorem or else all the field here are not conservative hence corculation is not zero
b.I can't write calculus part here I am sorry
but comment if you have any doubts regarding the theory and concepts I will be happy to help you