ASHWIN KRISHNA
2022-05-22
Using green's theorem, find the counterclockwise circulation and outward flux for field F and curve C, if:
i) F=(x²+4y)i+(x+y²)j, C:The Square bounded by x=0,x=1,y=0,y=1
Jeffrey Jordon
Expert2022-11-08Added 2605 answers
We have given C: the square bounded by x=0,x=1,y=0,y=1 in the xy-plane
we have given
Let
by using Green's Theorem dP/dy=4,dQ/dx=1
Circulation =integration of F.dr over C
=integration of over R
=integration of integration of
=integration of integration of
=integration of
=integration of
from x=0 to 1
Circulation =-3
the circulation for the field F around the curve C is -3
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