BrianGEFF719
asked on
Flux & Divergence Theorem
Suppose F is a vector field with div F = 10. Find the flush F out of a cylinder of height a and radius a, centered on z-axis and with base in the xy-plane.
By the divergence theorem:
/ /
| div(F) dV = 10 | dV = 10 * (volume of cone radius a & height a)
/W /W
First, is this part right?
Second, Is there a way to calculate the flux however without knowing the volume of a cone with radius a and height a?
Thanks.
By the divergence theorem:
/ /
| div(F) dV = 10 | dV = 10 * (volume of cone radius a & height a)
/W /W
First, is this part right?
Second, Is there a way to calculate the flux however without knowing the volume of a cone with radius a and height a?
Thanks.
Do you mean cone or cylinder?
Can you integrate to find the volume?
ASKER CERTIFIED SOLUTION
membership
This solution is only available to members.
To access this solution, you must be a member of Experts Exchange.
ASKER
So there is no way around working with the volume of the cylinder?
or cone, whichever.
you don't need to start knowing the volume, but after you find the flux, you will know the volume by the divergence theorem
you don't need to start knowing the volume, but after you find the flux, you will know the volume by the divergence theorem
ASKER