Example: Verifying the Divergence Theorem

We compute a flux integral two ways: first via the definition, then via the Divergence theorem.

[@myphysicsnotes]

I have a question, why did you leave the normal vector for the paraboloid a non-unit vector?

[@jonathanw4662]

Thank you, very helpful!

[@tms8479]

Thank you very much

[@user-ue5dl1rg9d]

How you took the limits of r and theta . And why theta not 0 to pi

[@emilyn4431]

thanks so much!

[@vishvadhar]

How did you write n2 I mean can you please explain

[@ApsiPapsi]

Normal vector to a plane is cross product of 2 vectors in the plane. We can get those 2 vectors by taking the derrivative of the parametrization, since it yields the tangent at a given point. Setting x and y to 0 gives (0,0,1). where we take the negative so our vector points outwards.

[@abay669]

u have to show a student what u r doing? I just lost u

[@uniteUsk]

i couldn't understand the whole concept