Limits of Theta and Phi in Surface Integrals on a Sphere

[sunny11119]

I am having problems in finding the limits in surface integral.. for example in case of sphere what will be the limits of theta and phi. somebody please answer quickly. Thanks

 

[tiny-tim]

Welcome to PF!

I am having problems in finding the limits in surface integral.. for example in case of sphere what will be the limits of theta and phi. somebody please answer quickly. Thanks

Hi sunny11119! Welcome to PF!

theta goes from 0 to π, and phi from 0 to 2π

(or you can do it the other way round )

 

[HallsofIvy]

If you are using the standard mathematics notation, where \theta measures "longitude" and \phi measure "co-latitude", then to cover the entires sphere \theta varies from 0 to 2\pi and \phi from 0 to \pi. "Engineering notation" reverses \theta and \phi. Of course, if you want to cover only a part of a spherical surface, that's another matter.